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Fraction Calculator - Add, Subtract, Simplify & Convert Free

Math Calculators / Free Tools

Free Fraction Calculator

Use these free fraction calculators to add, subtract, multiply, and divide fractions and mixed numbers, simplify fractions to their lowest terms, and convert between fractions and decimals - including a version built for very large numbers. No sign-up required.

Fraction Calculator

Add, subtract, multiply, or divide two fractions.

Mixed number: -

Decimal: -

Mixed Numbers Calculator

Add, subtract, multiply, or divide mixed numbers, e.g. -2 3/4.

Mixed number: -

Decimal: -

Simplify Fractions Calculator

Reduce a fraction to its lowest terms.

Decimal: -

Decimal to Fraction Calculator

Convert a decimal number into a simplified fraction.

Mixed number: -

Fraction to Decimal Calculator

Convert a fraction into its decimal equivalent.

Big Number Fraction Calculator

For fractions with very large integer numerators or denominators.

Numerator: -

Denominator: -

All calculators here work with the fraction already reduced to its simplest form in the result. For everyday use, the first five calculators are plenty - the Big Number calculator only matters if your numerator or denominator has more digits than a normal calculator can handle accurately (typically more than 15-16 digits).

What is a fraction and how these calculators work

A fraction represents part of a whole, written as a numerator (the top number) over a denominator (the bottom number). If you split a pizza into 8 equal slices and eat 3 of them, you've eaten 3/8 of the pizza - 3 is the numerator, 8 is the denominator. A fraction's denominator can never be zero, since dividing by zero is undefined.

These calculators handle the standard operations performed on fractions - addition, subtraction, multiplication, division, simplification, and conversion to and from decimals - and automatically reduce every result to its simplest form.

Addition and subtraction

Adding or subtracting fractions requires a common denominator first, since you can only combine parts that are measured in the same-sized pieces. The standard approach multiplies each fraction's numerator and denominator by the other fraction's denominator, giving both fractions the same denominator before combining the numerators.

Example: 3/4 + 1/6 → common denominator 24 → 18/24 + 4/24 = 22/24 = 11/12

Multiplication

Multiplying fractions is more direct - no common denominator is needed. Multiply the numerators together, multiply the denominators together, then simplify the result.

Example: 3/4 × 1/6 = 3/24 = 1/8

Division

Dividing by a fraction is the same as multiplying by its reciprocal (flip the numerator and denominator of the fraction you're dividing by, then multiply).

Example: 3/4 ÷ 1/6 = 3/4 × 6/1 = 18/4 = 9/2

Simplifying fractions

A fraction is in its simplest form when the numerator and denominator share no common factor other than 1. To simplify, divide both the numerator and denominator by their greatest common factor (GCF).

Example: 21/98 → greatest common factor is 7 → 21÷7 = 3, 98÷7 = 14 → simplified to 3/14

Converting between fractions and decimals

To convert a decimal to a fraction, use each digit after the decimal point as part of a fraction over a power of 10, then simplify. To convert a fraction to a decimal, simply divide the numerator by the denominator - some fractions convert to a terminating decimal, while others repeat indefinitely.

Example: 1.375 = 1375/1000 → simplified to 11/8
Example: 2/7 = 0.285714... (repeating)

Common searches these calculators answer

How do I add or subtract fractions with different denominators?
How do I simplify a fraction to its lowest terms?
How do I convert a decimal to a fraction?
How do I convert a fraction to a decimal?
How do I add or subtract mixed numbers?
How do I work with fractions that have very large numbers?

How to use these calculators

Fraction Calculator: enter both fractions' numerators and denominators, choose an operation, and click Calculate.
Mixed Numbers Calculator: enter two mixed numbers (e.g. "-2 3/4"), choose an operation, and click Calculate.
Simplify Fractions Calculator: enter a numerator and denominator and click Calculate to reduce it to lowest terms.
Decimal to Fraction Calculator: enter a decimal number and click Calculate to see it as a simplified fraction.
Fraction to Decimal Calculator: enter a numerator and denominator and click Calculate to see the decimal value.
Big Number Fraction Calculator: enter very large whole-number numerators and denominators as text and click Calculate for an exact result.

Tips

Every result is automatically reduced to its simplest form - if you were expecting an unsimplified answer for homework, remember to check your teacher's requirements on showing intermediate steps.
For repeating decimals, the Fraction to Decimal calculator shows a rounded value rather than the infinite repeating digits - the repeating pattern itself is noted where relevant.
Negative mixed numbers should have the minus sign before the whole number, like "-2 3/4", which applies to the whole value.
Use the Big Number calculator only when your numbers exceed about 15 digits - for anything smaller, the regular Fraction Calculator is simpler and works identically.

Frequently asked questions

Are these fraction calculators free to use?

Yes. They are completely free, work in your browser, and do not require any sign-up or download.

Why is my answer shown as a fraction instead of a decimal?

Fractions are kept in exact fraction form because converting to a decimal can lose precision for repeating decimals. Each result also shows the decimal equivalent alongside the fraction so you have both.

What does it mean to simplify a fraction?

Simplifying means reducing a fraction so the numerator and denominator have no common factor left other than 1, which makes the fraction easier to read and work with without changing its value.

Can I enter negative fractions?

Yes. Enter a negative sign on the numerator for a basic fraction, or before the whole number for a mixed number (e.g. "-2 3/4").

When would I need the Big Number Fraction Calculator?

Regular calculators, including this one's standard fraction calculator, lose precision on whole numbers larger than about 15-16 digits due to how computers store numbers. The Big Number calculator is built specifically to handle those very large numerators and denominators exactly.

Fraction decimal converter online

Use this free converter to turn a fraction into a decimal, or a decimal into a simplified fraction, instantly — supports mixed numbers, negative values, and repeating decimals. No sign-up required.

Fraction → Decimal

Decimal → Fraction

Whole number

Numerator

Decimal value

As a fraction—

As a percentage—

Decimal number

Simplified fraction

0/1

Mixed number—

As a percentage—

Common fractions to decimals chart

Fraction	Decimal	Fraction	Decimal
1/2	0.5	1/8	0.125
1/3	0.333...	3/8	0.375
2/3	0.667...	5/8	0.625
1/4	0.25	7/8	0.875
3/4	0.75	1/16	0.0625
1/5	0.2	1/10	0.1
2/5	0.4	1/6	0.1667...
3/5	0.6	5/6	0.8333...
4/5	0.8	1/9	0.111...

What is a fraction-to-decimal converter and why it matters

Fractions and decimals represent the exact same values, but each format is easier to work with in different situations — fractions are natural for cooking measurements and construction, while decimals are what calculators, spreadsheets, and most math problems expect. Converting between the two by hand means dividing (or finding a common denominator and simplifying), which is easy to get wrong under time pressure. This tool does both directions instantly: turn a fraction into its decimal equivalent, or turn a decimal into its simplest fraction form, including proper handling of mixed numbers and repeating decimals like 1/3 = 0.333...

How this tool works

For fraction to decimal, the calculator divides the numerator by the denominator and adds any whole number you enter, then also shows the equivalent percentage. For decimal to fraction, it converts your decimal into a fraction over a power of 10 based on its number of decimal places, then simplifies it by dividing both the numerator and denominator by their greatest common divisor (GCD), so you always get the fraction in lowest terms. If the result is greater than 1, it's also shown as a mixed number for convenience.

Common searches this tool answers

Convert fraction to decimal
Convert decimal to fraction
What is 3/4 as a decimal?
What is 0.75 as a fraction?
Mixed number to decimal converter
Fraction to percent calculator

How to use it

Choose "Fraction → Decimal" or "Decimal → Fraction" depending on your starting point.
For fractions: enter the numerator and denominator, plus a whole number if you have a mixed number.
For decimals: enter the decimal value directly (negative numbers work too).
Click the convert button to see your result, plus the equivalent percentage and (for decimals) the mixed number form.
Use the reference chart below for the most commonly needed conversions without typing anything.

Frequently asked questions

How do you convert a fraction to a decimal?

Divide the numerator by the denominator. For example, 3/4 becomes 3 divided by 4, which equals 0.75. For a mixed number like 2 1/4, convert the fractional part and add it to the whole number, giving 2.25.

How do you convert a decimal to a fraction?

Write the decimal as a fraction over a power of 10 matching its decimal places (0.75 becomes 75/100), then simplify by dividing both the numerator and denominator by their greatest common divisor, giving 3/4.

What is a repeating decimal?

A repeating decimal is one where a digit or group of digits repeats forever, like 1/3 = 0.333... This calculator rounds repeating decimals to a set number of digits and marks them so you know the true value continues.

Can this tool handle negative numbers?

Yes, both the fraction-to-decimal and decimal-to-fraction converters accept negative values and will show the correct sign in the result.

Why is my fraction not fully simplified?

This shouldn't happen — the calculator always reduces fractions to lowest terms by dividing both numbers by their greatest common divisor. If a result looks unsimplified, double check the numerator and denominator you entered.

Keywords

fraction to decimal converter, decimal to fraction converter, fraction to decimal calculator, mixed number to decimal, decimal to fraction calculator, simplify fraction calculator, fraction to percent converter, convert fraction online free, repeating decimal calculator

Free Grade Calculator Online (Weighted Average)

Use this free grade calculator to find your overall course grade when different categories - like homework, quizzes, exams, and participation - count for different percentages of your final mark. Add each category with its weight and your score, and this tool works out your weighted average instantly - no sign-up required.

Step 1: Enter your grade categories

Category name	Weight (%)	Your score (%)

Total weight: 0%

Overall grade

Letter grade

Total weight used

Step 2 (optional): What do I need on the rest?

If part of your grade isn't finished yet, find the average score you need on the remaining weight to hit a target grade.

Current grade so far (%)

Weight completed so far (%)

Target overall grade (%)

What is a weighted grade calculator and why it matters

A weighted grade calculator combines scores from different categories - such as homework, quizzes, exams, and participation - according to how much each one counts toward the final grade. This matters because a simple average of all your scores can be misleading when categories are weighted unevenly; a 95% on a 5%-weight quiz affects your grade far less than an 80% on a 40%-weight final exam, and averaging them equally would give a wrong picture of where you actually stand.

How this calculator works

Each category's score is multiplied by its weight to get a weighted contribution, all the weighted contributions are added together, and the total is divided by the sum of the weights entered. If your weights add up to less than 100%, the calculator still works correctly by normalizing against the total weight you've entered, so you can calculate a grade even with only some categories filled in.

Common searches this calculator answers

How do I calculate my grade with different category weights?
What is my overall grade if homework is 20% and exams are 50%?
What score do I need on the final to get a certain grade?
How do weighted averages work for school grades?
What letter grade corresponds to my percentage?

How to use it

Enter each grading category name, its weight as a percentage, and your score in that category.
Click "+ Add category" for as many categories as your course has.
Click Calculate grade to see your overall percentage and letter grade.
If part of the course isn't graded yet, use Step 2: enter your current grade, the weight already completed, and your target grade to see what average you need on the rest.

Grading scale used for letter grade

Percentage	Letter grade	Percentage	Letter grade
93-100	A	73-76	C
90-92	A-	70-72	C-
87-89	B+	67-69	D+
83-86	B	63-66	D
80-82	B-	60-62	D-
77-79	C+	below 60	F

Tips

Double check your course syllabus for exact category weights - they're usually listed there and can vary a lot between classes.
Use Step 2 early in the semester to understand how much the remaining work can realistically move your grade.
If the needed score in Step 2 comes back above 100%, it means your target isn't mathematically reachable with the remaining weight - you'd need to make up ground elsewhere, like extra credit if it's offered.
Recalculate after each new grade is posted to keep an up-to-date picture of where you stand.

Frequently asked questions

Is this grade calculator free to use?

Yes. It is completely free, works in your browser, and does not require any sign-up or download.

What if my category weights don't add up to 100%?

The calculator normalizes by the total weight you've entered, so it still produces an accurate grade even if you haven't entered every category yet.

Does this calculator save my grades?

No. Everything runs in your browser and nothing is stored or sent anywhere.

Can I use this for college and high school courses?

Yes. It works for any course that uses weighted categories, though the letter grade cutoffs shown are a common standard - your school may use slightly different cutoffs.

What does it mean if my needed score is above 100%?

It means your target grade is not achievable through the remaining graded work alone, since even a perfect score wouldn't be enough to reach it given the weight remaining.

Free Percentage Increase/Decrease Calculator Online

Math Calculators

Free Percentage Increase/Decrease Calculator Online

Use this free percentage change calculator to find the percent increase or decrease between two numbers, or to increase or decrease a value by a specific percentage. Switch between modes to match what you need - a percentage increase calculator, a percentage decrease calculator, or a straightforward percent difference calculator - all in one tool.

Old value

New value

Percentage change

Difference

Direction

Starting value

Increase by (%)

New value

Amount added

Starting value

Decrease by (%)

New value

Amount subtracted

What is percentage increase and decrease, and why it matters

A percentage change describes how much a number has grown or shrunk relative to its starting value, expressed as a percentage rather than a raw difference. This matters because a raw difference alone can be misleading - going from 10 to 20 and going from 1,000 to 1,010 are both a difference of 10, but one is a 100% increase and the other is barely a 1% increase. Percentage change is used constantly in everyday and professional contexts: tracking a price increase, comparing sales growth between two periods, understanding a pay raise, or figuring out how much a discount actually saves you. Knowing the correct formula - and which number is the "starting" value - avoids a common mistake where people accidentally calculate the percentage relative to the wrong number. Getting this backwards is one of the most frequent small errors in everyday percentage math, and it produces a plausible-looking but incorrect answer rather than an obvious one.

How this calculator works

For percentage change between two numbers, this tool uses the formula ((new value - old value) / old value) x 100, which always measures the change relative to the original starting value, not the new one. A positive result is shown as an increase and a negative result as a decrease. For the increase and decrease modes, the calculator works in the opposite direction: it multiplies your starting value by (1 + percentage/100) to increase it, or by (1 - percentage/100) to decrease it, giving you the resulting new value directly. All three modes run instantly in your browser as you type, with no page reload and nothing sent to a server.

Common searches this calculator answers

What is the percentage increase or decrease between two numbers?
How do I calculate a percentage increase on a value?
How do I calculate a discount or percentage decrease?
What is the formula for percentage change?
How much did a price, salary, or sales figure change in percentage terms?
How do I find the percent difference between an old and new number?

How to use it

Choose the mode that matches your question - "Find % change," "Increase by %," or "Decrease by %."
For percentage change, enter the old value and the new value.
For increase or decrease mode, enter your starting value and the percentage to apply.
Read the result instantly - the tool updates as you type.
Switch modes at any time without losing your other entries.

Tips

Always use the original, earlier number as the "old value" - percentage change is measured relative to where you started, not where you ended up.
A percentage increase followed by the same percentage decrease does not return you to the original number - work out both steps separately rather than assuming they cancel out.
For discounts, use the decrease mode directly with the discount percentage rather than calculating the discount amount by hand first.
If your old value is zero, percentage change cannot be calculated, since you cannot divide by zero - use the raw difference instead in that case.
Negative percentages in the change mode simply mean a decrease - the size of the number still tells you the magnitude of the change.

Frequently asked questions

Is this percentage increase/decrease calculator free to use?

Yes. It is completely free, works in your browser, and does not require any sign-up or download.

What is the formula for percentage increase or decrease?

The formula is ((new value - old value) / old value) x 100. A positive result is a percentage increase, and a negative result is a percentage decrease.

What happens if the old value is zero?

Percentage change cannot be mathematically calculated when the old value is zero, since it would require dividing by zero. In that case, consider using the raw numeric difference instead of a percentage.

Does increasing a number by a percentage and then decreasing it by the same percentage return the original number?

No. Because each percentage is calculated relative to a different starting value, increasing then decreasing by the same percentage results in a slightly lower number than you started with. Use the increase and decrease modes separately to see this for yourself.

Can I use this to calculate a discount?

Yes. Use the "Decrease by %" mode, enter the original price as the starting value and the discount percentage, and the result will show the discounted price along with the amount saved.

Can I use this for a salary raise or price increase?

Yes. Use the "Increase by %" mode with your current salary or price as the starting value and the raise or increase percentage to see the new amount and how much was added.

Why does my result show a negative percentage?

A negative percentage in the "Find % change" mode simply indicates a decrease from the old value to the new value. The number itself shows the size of that decrease.

Free GPA Calculator | 4.0 Scale College & High School GPA Tool

Other Calculators / Free Tools

Free GPA Calculator - 4.0 Scale College and High School GPA Tool

Use this free GPA calculator to find your semester and cumulative grade point average on the standard US 4.0 scale. Enter your course grades and credit hours to get an instant GPA calculation, and optionally add your prior GPA and credit hours to see your updated cumulative GPA - no sign-up required.

Course (optional)	Credit hours	Grade

Add my prior cumulative GPA to calculate a new overall GPA

Prior cumulative GPA

Prior total credit hours

Semester GPA

0.00

Credit hours

Quality points

0.0

Cumulative GPA

0.00

What is a GPA calculator and why it matters

A GPA calculator converts your letter grades into grade points, weights them by how many credit hours each course is worth, and averages them into a single grade point average - the number US high schools and colleges use to summarize academic performance. This matters because GPA affects scholarship eligibility, academic standing, transfer applications, and graduate school admissions, and it is not simply an average of your letter grades - a 4-credit course counts more toward your GPA than a 1-credit course. Calculating it by hand across five or six courses, each with different credit weights, is where small arithmetic mistakes creep in, so a reliable GPA calculator matters most right before you need an accurate number for an application or an academic advising meeting.

How this calculator works

This tool uses the standard US 4.0 grade point scale, where each letter grade corresponds to a fixed number of grade points - A equals 4.0, B equals 3.0, and so on, with plus and minus grades adjusted by 0.3. For each course, the calculator multiplies the grade points by the credit hours to get that course's quality points, adds up the quality points across all courses, and divides by the total credit hours to produce your GPA. If you enter a prior cumulative GPA and credit hours, the tool combines your prior quality points with your new semester's quality points and divides by the combined credit hours to produce an updated overall cumulative GPA.

US 4.0 grade point scale

Grade	Points	Grade	Points
A / A+	4.0	C+	2.3
A-	3.7	C	2.0
B+	3.3	C-	1.7
B	3.0	D+	1.3
B-	2.7	D	1.0
		D-	0.7
		F	0.0

Common searches this calculator answers

How do I calculate my GPA on a 4.0 scale?
How do credit hours affect my GPA?
How do I calculate my cumulative GPA after this semester?
What GPA do I need to raise my current GPA to a certain number?
How many grade points is an A-, B+, or C- worth?
How is high school GPA different from college GPA?

How to use it

Enter each course you want included - the course name is optional and just for your own reference.
Enter the credit hours for each course, as listed on your syllabus or transcript.
Select the letter grade you earned or expect to earn in each course.
Click "Add course" for any additional courses beyond the default rows.
Check "Add my prior cumulative GPA" and enter your existing GPA and total credit hours to see your updated overall GPA.

Tips

Double-check your credit hours against your official syllabus - a wrong credit value skews the whole GPA more than a wrong grade does.
Some schools do not use plus/minus grading or cap A+ at 4.0 differently - check your school's official grading policy if your result does not match your transcript exactly.
Use the cumulative GPA option before an academic advising meeting to see your projected overall GPA before the semester's grades are officially posted.
Remove a course with the small button on its row if you want to test how dropping or retaking a class would affect your GPA.
Run the numbers with a slightly lower expected grade in an uncertain course to see a conservative estimate of where you will land.

Frequently asked questions

Is this GPA calculator free to use?

Yes. It is completely free, works in your browser, and does not require any sign-up or download.

Does this calculator work for grading systems outside the US?

No. This tool is built specifically for the standard US 4.0 grade point scale used by most American high schools and colleges. Countries using percentage-based, GPA-out-of-5, or other grading systems will need a calculator built for that specific scale.

Why is my calculated GPA different from my official transcript?

Schools sometimes use slightly different scales - for example, treating A+ as 4.3 instead of capping it at 4.0, weighting honors or AP courses differently, or excluding certain course types like pass/fail from GPA calculations. Check your school's official grading policy if your number does not match exactly.

How is cumulative GPA different from semester GPA?

Semester GPA reflects only the courses entered for the current term. Cumulative GPA combines all credit hours and quality points earned across every term to date. Use the "prior GPA" option to calculate your updated cumulative GPA after adding a new semester.

Does this calculator handle weighted GPA for honors or AP classes?

No, this calculator uses the standard unweighted 4.0 scale. Weighted GPA systems, which award extra points for honors, AP, or IB courses, vary by school district and are not included here.

What happens if I leave the course name blank?

Nothing - the course name field is optional and only there to help you keep track of which row is which. It does not affect the GPA calculation.

Can I use this to see what grade I need in a remaining course?

Not directly, but you can estimate it by entering your known courses plus a placeholder row with your remaining course's credit hours, then trying different grades in that row to see which one reaches your target GPA.

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Fraction Calculator - Add, Subtract, Simplify & Convert Free

Free Fraction Calculator

What is a fraction and how these calculators work

Addition and subtraction

Multiplication

Division

Simplifying fractions

Converting between fractions and decimals

Common searches these calculators answer

How to use these calculators

Tips

Frequently asked questions

Related searches

Fraction decimal converter online

Common fractions to decimals chart

What is a fraction-to-decimal converter and why it matters

How this tool works

Common searches this tool answers

How to use it

Frequently asked questions

Keywords

Related searches