FinanceHealthMathDev ToolsDate & TimeText ToolsConvertersUtilitiesBusinessConstructionAgricultureAutomotiveScienceStatisticsEducationLegal & TaxAbout

Fraction Calculator

Add, subtract, multiply, or divide any two fractions instantly. Shows full step-by-step working and automatically simplifies the result to its lowest terms.

Enter Fractions
Fraction A
A
/
B
Operation
Fraction B
C
/
D
Your Result

Fill in the details and
your result appears here.

Result
Result (Fraction)
Result (Decimal)
Mixed Number
Step-by-Step
Related Calculators

Did You Know?
Simplify before multiplying
When multiplying fractions, simplify diagonally first: 4/9 × 3/8 — cancel 4 and 8 to get 1/2, cancel 3 and 9 to get 1/3. So 1/2 × 1/3 = 1/6. Much easier than multiplying first then simplifying.

How to use this calculator

1

Enter Fraction A

Type the numerator (top) and denominator (bottom) of the first fraction.

2

Choose operation

Select +, −, ×, or ÷.

3

Enter Fraction B

Type the second fraction. The result updates instantly with full working shown.

The formula explained

A/B + C/D = (A×D + C×B) / (B×D) → simplify
A/B × C/D = (A×C) / (B×D)
A/B ÷ C/D = A/B × D/C

For addition and subtraction, find the LCM of denominators first. For multiplication, multiply numerators and denominators directly. Always simplify using GCD at the end.

Frequently Asked Questions

How do you add fractions with different denominators?

Find the LCM of the two denominators, convert both fractions to that denominator, then add the numerators. E.g. 1/3 + 1/4: LCM=12, so 4/12 + 3/12 = 7/12.

How do you simplify a fraction?

Divide both numerator and denominator by their GCD (Greatest Common Divisor). E.g. 8/12: GCD=4, so 8÷4 / 12÷4 = 2/3.

How do you divide fractions?

Flip the second fraction (take its reciprocal) and multiply. E.g. 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.

What is a mixed number?

A whole number combined with a proper fraction. E.g. 7/4 = 1¾. This calculator shows both improper fraction and mixed number forms.

How do I add fractions with different denominators?

Find the least common denominator (LCD), convert each fraction, then add the numerators. For 1/3 + 1/4: LCD=12, so 4/12 + 3/12 = 7/12.

More Math Calculators