Skip to content
CalculatorBuddy

Fraction Calculator

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

Optional whole number (mixed fraction).

Optional whole number (mixed fraction).

Result

11/12

Improper fraction
11/12
Decimal
0.916667
Result11/12View results

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.

Related calculators