Fraction Calculator - Convert Fractions

Fraction Calculator

What is a Fraction?

A fraction represents a part of a whole. It consists of two numbers:

• Numerator: The top number (parts we have)
• Denominator: The bottom number (total parts)

Example: In 3/4, we have 3 parts out of 4 total parts.

Fraction Operations

Adding Fractions

Same Denominator: a/c + b/c = (a + b)/c

Different Denominators: Find LCD, then add

Example: 1/4 + 1/3 = 3/12 + 4/12 = 7/12

Subtracting Fractions

Same Denominator: a/c - b/c = (a - b)/c

Different Denominators: Find LCD, then subtract

Example: 3/4 - 1/3 = 9/12 - 4/12 = 5/12

Multiplying Fractions

Formula: (a/b) × (c/d) = (a × c)/(b × d)

Example: 1/2 × 3/4 = 3/8

Dividing Fractions

Formula: (a/b) ÷ (c/d) = (a/b) × (d/c)

Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2

Simplifying Fractions

Divide numerator and denominator by their greatest common factor (GCF).

Example: 12/18 simplifies to 2/3 (divide by 6)

Mixed Numbers

A mixed number combines a whole number and a fraction: 2¾ = 2 + 3/4