Fraction Calculator

Add, subtract, multiply, and divide fractions with step-by-step solutions. Simplify fractions and convert between improper fractions and mixed numbers.

Calculator Inputs
Your Results

Enter your values and click Calculate to see results

Complete Fraction Operations

Add Fractions

Add fractions with different denominators and get simplified results.

Subtract Fractions

Subtract fractions and automatically simplify to lowest terms.

Multiply Fractions

Multiply numerators and denominators, then reduce to simplest form.

Divide Fractions

Divide by multiplying by the reciprocal and simplify the result.

Fraction Operations Formulas

The formula calculation is standard for this mathematical operation.

\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}

Variables Explained:

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 = (ad)/(bc)

Worked Examples

Add Two Fractions
1/2 + 1/3

Inputs:

numerator1:
1
denominator1:
2
operation:
add
numerator2:
1
denominator2:
3

Result:

5/6

Subtract Fractions
3/4 − 1/2

Inputs:

numerator1:
3
denominator1:
4
operation:
subtract
numerator2:
1
denominator2:
2

Result:

1/4

Multiply Fractions
2/3 × 3/4

Inputs:

numerator1:
2
denominator1:
3
operation:
multiply
numerator2:
3
denominator2:
4

Result:

1/2

Frequently Asked Questions