Fraction Calculator

Calculate, simplify, add, subtract, multiply, divide, and convert fractions with this online fraction calculator.

Fraction calculator

Calculation steps

Step 1Make denominators the same2 and 4 → 4
Step 2Convert the fractions1/2 → 2/4; 1/4 → 1/4
Step 3Add the numerators2 + 1 = 3; 3/4
Step 4Simplify the fraction3/4 is already in simplest form

Fraction Summary

Fraction: 3/4
Decimal: 0.75
Percentage: 75%

More Fraction Tools

Common Fraction Tasks

Adding fractions

Combine fractional measurements or quantities.

1/2 + 1/4 = 3/4

Simplifying fractions

Reduce a fraction without changing its value.

8/12 = 2/3

Converting fractions

Move between fraction, decimal, and mixed-number forms.

0.75 = 3/4

Comparing fractions

Use equivalent forms to compare fractional quantities.

1/2 > 2/5

Measuring partial quantities

Work with partial lengths, weights, and recipe amounts.

3/4 cup + 1/4 cup = 1 cup

Formula

Addition

a/b + c/d = (ad + bc) / bd

Subtraction

a/b − c/d = (ad − bc) / bd

Multiplication

a/b × c/d = ac / bd

Division

a/b ÷ c/d = a/b × d/c

Simplification

Divide numerator and denominator by their greatest common divisor

Examples

Add one half and one fourth

1/2 + 1/4 = 3/4

Subtract one fourth from three fourths

3/4 − 1/4 = 1/2

Multiply three fifths by ten

3/5 × 10 = 6

Divide one half by three fourths

1/2 ÷ 3/4 = 2/3

Simplify eight twelfths

8/12 simplified = 2/3

Convert one fourth to a decimal

1/4 = 0.25

Convert a decimal to a fraction

0.25 = 1/4

Convert an improper fraction

7/3 = 2 1/3

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Frequently Asked Questions

Does the calculator reduce fractions?

Yes. Every fraction result is reduced to its simplest form.

Can I enter a mixed number?

Yes. Use a space between the whole number and fraction, such as 1 1/2.

Why can a denominator not be zero?

Division by zero is undefined, so a fraction with a zero denominator is not valid.

Does the calculator show a decimal result?

Yes. The simplified fraction and its decimal value are shown together.

Can I use negative fractions?

Yes. Negative fractions and negative mixed numbers are supported.

Can I convert a decimal to a fraction?

Yes. Enter a decimal with up to 12 places and the calculator returns its simplest fraction.

How do I convert an improper fraction to a mixed number?

Choose the mixed-number mode. The quotient becomes the whole number and the remainder stays over the denominator.