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Fraction Calculator

Add, subtract, multiply, and divide fractions and mixed numbers, simplify to lowest terms, and convert between fractions and decimals.

ExampleSample values — edit any field to see your result.

Optional whole number (mixed fraction).

Optional whole number (mixed fraction).

Results update as you type.

Result

11/12

Estimated result

Improper fraction
11/12
Decimal
0.916667

Add, subtract, multiply, and divide fractions and mixed numbers, simplify to lowest terms, and convert between fractions and decimals. Results show as a mixed number, an improper fraction, and a decimal.

Formula

Addition and subtraction need a common denominator:

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

Multiplication and division do not:

a/b × c/d = ac / bd
a/b ÷ c/d = a/b × d/c = ad / bc

Always reduce by dividing numerator and denominator by their greatest common factor.

A denominator of 0 is undefined. The calculator rejects a zero denominator and division by a zero fraction.

Examples

3/4 + 1/6

Common denominator 12: 9/12 + 2/12 = 11/12.

3/4 ÷ 1/6

3/4 × 6/1 = 18/4 = 9/2, or 4 1/2 as a mixed number.

Frequently asked questions

How do you add two fractions?
Give them a common denominator, add the numerators, then simplify. 3/4 + 1/6 becomes 9/12 + 2/12 = 11/12.
How do you multiply and divide fractions?
Multiply numerators together and denominators together, then simplify. To divide, multiply by the reciprocal: 3/4 ÷ 1/6 = 3/4 × 6/1 = 9/2.
What is a mixed number?
A mixed number has a whole part plus a proper fraction, such as 4 1/2. It equals the improper fraction 9/2. This calculator reports both forms.
How do you simplify a fraction?
Divide the numerator and denominator by their greatest common factor. 21/98 simplifies to 3/14 because both parts divide by 7.
How do you convert a decimal to a fraction?
Write the decimal over a power of ten and simplify, or use a continued fraction approximation. 1.375 is 1375/1000, which reduces to 11/8, or 1 3/8 as a mixed number.

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