Fraction to Decimal Converter

A fraction to decimal converter is an essential tool for quickly and accurately converting common fractions into their decimal equivalents. Our calculator supports both simple fractions and mixed numbers, automatically identifying repeating decimal patterns.

Types of Fractions

• Proper fraction - a fraction where the numerator is less than the denominator (e.g., 3/4)
• Mixed number - consists of a whole number and a fractional part (e.g., 2¾)
• Improper fraction - numerator is greater than or equal to the denominator

Methods for Converting Fractions to Decimals

There are several approaches to fraction conversion:

1. Division Method

The most straightforward method is to divide the numerator by the denominator:

• 3/4 = 3 ÷ 4 = 0.75
• 1/8 = 1 ÷ 8 = 0.125
• 5/6 = 5 ÷ 6 = 0.833... (repeating decimal)

2. Equivalent Fraction Method

Convert the fraction to an equivalent fraction with a denominator of 10, 100, or 1000:

• 1/2 = 5/10 = 0.5
• 3/20 = 15/100 = 0.15
• 7/25 = 28/100 = 0.28

Repeating Decimals

When a fraction's denominator contains prime factors other than 2 and 5, it results in a repeating decimal:

• 1/3 = 0.333... = 0.3̄
• 2/7 = 0.285714285714... = 0.285714̄
• 5/11 = 0.454545... = 0.45̄

Working with Mixed Numbers

For mixed numbers, convert the fractional part first, then add it to the whole number:

Example: 2¾ = 2 + 3/4 = 2 + 0.75 = 2.75

Real-World Applications

• Cooking - converting recipe measurements
• Construction - working with dimensions and ratios
• Finance - calculating percentages and shares
• Education - solving mathematical problems
• Science - precise measurements and calculations

Benefits of Using Online Converter

• Instant calculations with zero errors
• Support for large numbers and complex fractions
• Automatic identification of repeating patterns
• Multiple display formats for results
• Mixed number conversion capability

Quick Reference

Common fraction to decimal conversions:

• 1/2 = 0.5
• 1/4 = 0.25; 3/4 = 0.75
• 1/5 = 0.2; 2/5 = 0.4; 3/5 = 0.6; 4/5 = 0.8
• 1/8 = 0.125; 3/8 = 0.375; 5/8 = 0.625; 7/8 = 0.875
• 1/3 = 0.333...; 2/3 = 0.666...