Fraction Calculator

Perform arithmetic operations with fractions, convert between fractions and decimals, and simplify fractions to their lowest terms

Fraction Calculator Mode

Fraction Arithmetic

First Fraction

Whole Number

Numerator

Denominator

Preview: 1/2 = 0.5000

Second Fraction

Whole Number

Numerator

Denominator

Preview: 1/3 = 0.3333

Result

5/6

= 0.833333

Result: 5/6

Step-by-Step Solution

1 Find LCD: LCD(2, 3) = 6

2 Convert fractions: 1/2 = 3/6, 1/3 = 2/6

3 Add numerators: 3 + 2 = 5

Quick Reference

Common Fractions to Decimals

1/2 0.5

1/3 0.333...

1/4 0.25

3/4 0.75

1/5 0.2

1/8 0.125

Operation Rules

Addition/Subtraction: Find common denominator

Multiplication: Multiply numerators and denominators

Division: Multiply by reciprocal

Simplification: Divide by Greatest Common Divisor

Mixed Numbers: Convert to improper fractions first

Fraction Mathematics Guide

➕ Fraction Operations

Addition/Subtraction: Find the least common denominator (LCD), convert fractions, then add/subtract numerators.

Multiplication: Multiply numerators together and denominators together, then simplify.

Division: Multiply the first fraction by the reciprocal (flipped version) of the second fraction.

🔄 Conversions

Mixed Numbers: Whole number plus a proper fraction (e.g., 2 ½).

Improper Fractions: Numerator is larger than denominator (e.g., 5/3).

Decimal Conversion: Divide numerator by denominator to get decimal form.

📏 Simplification

Greatest Common Divisor: Find the largest number that divides both numerator and denominator.

Lowest Terms: Divide both parts by their GCD to get the simplest form.

Equivalent Fractions: Different fractions that represent the same value (e.g., 2/4 = 1/2).