Fractions

What are Fractions?

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). The numerator represents how many parts we have, while the denominator represents the total number of equal parts that make up the whole.

Numerator: 3 (parts we have)

Denominator: 4 (total equal parts)

This fraction (3/4) represents three out of four equal parts, or three-quarters of the whole.

Types of Fractions

Proper Fractions

Numerator is less than denominator

1/2, 3/4, 5/8

Improper Fractions

Numerator is greater than or equal to denominator

5/3, 7/4, 11/8

Mixed Numbers

Whole number and proper fraction combined

1 1/2, 2 3/4, 3 5/8

Basic Fraction Operations

+Adding Fractions with Same Denominator

Add the numerators, keep the same denominator, and simplify if needed.

1/4 + 2/4 = 3/4

-Subtracting Fractions with Same Denominator

Subtract the numerators, keep the same denominator, and simplify if needed.

3/5 - 1/5 = 2/5

×Multiplying Fractions

Multiply the numerators together, multiply the denominators together, and simplify if needed.

2/3 × 3/4 = 6/12 = 1/2

÷Dividing Fractions

Multiply by the reciprocal of the second fraction, and simplify if needed.

2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9

Practice Fractions

Test your knowledge with our interactive fraction practice exercises.

Start Practice

Fraction Calculator

Use our calculator to perform operations with fractions.

Open Calculator

MathGame