How do you divide two fractions?

Keep the first fraction, change the division sign to multiplication, and flip the second fraction upside down (its reciprocal). Then multiply across: (a/b) ÷ (c/d) = (a/b) × (d/c) = (a × d) / (b × c).

What is a mixed number?

A mixed number combines a non-zero whole number and a proper fraction, such as 1 3/4, representing an improper fraction like 7/4.

Math Calculators Step-by-Step

Fraction Calculator

Perform addition, subtraction, multiplication, and division on fractions with automated GCD reduction to lowest terms and mixed number conversion.

Step-by-Step Simplification (3 × 5 + 2 × 4) ÷ (4 × 5) = 23/20 → Simplified: 23/20

Simplified Fraction Lowest Terms

23 / 20

Mixed Number: 1 3/20

Decimal Approximation 1.15

Numerator 23

Denominator 20

The 4 Fundamental Operations on Fractions

A fraction represents part of a whole or ratio between two numbers. The top number is the numerator (the number of parts you have), and the bottom number is the denominator (the total number of parts dividing the whole).

Fraction Arithmetic Rules

Addition: (a/b) + (c/d) = (ad + bc) / bd | Division: (a/b) ÷ (c/d) = (a/b) × (d/c)

Where:

a/b = First fractional term
c/d = Second fractional term

Note: Always find the Greatest Common Divisor (GCD) of the resulting numerator and denominator to reduce to lowest terms.

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Frequently Asked Questions

Common questions and clear answers about this calculator

Find the Least Common Denominator (LCD). Multiply the numerator and denominator of each fraction so they share the common denominator, add the numerators together, keep the denominator unchanged, and simplify if possible.