How to Convert Decimals to Fractions & Fractions to Decimals

How to Convert Decimals to Fractions

Learning how to convert decimals to fractions is a fundamental math skill. Follow these simple steps:

1. Write the decimal as a fraction - Place the decimal over 1
2. Multiply by powers of 10 - Remove decimal points by multiplying both numerator and denominator
3. Simplify the fraction - Find the greatest common divisor and reduce

Example: How to convert 0.75 to fraction: 0.75 = 75/100 = 3/4

More examples: 0.5 = 1/2, 0.25 = 1/4, 0.125 = 1/8

Use our calculator above to practice converting decimals to fractions!

Fraction to Decimal Conversion Guide

Converting fractions to decimals is equally important. Here's how to turn fractions into decimals:

1. Divide the numerator by the denominator - The top number divided by the bottom number
2. Use long division - If needed, perform long division to get the decimal result
3. Round if necessary - For repeating decimals, round to your desired precision

Example: To convert 3/4 to decimal: 3 ÷ 4 = 0.75

Common conversions: 1/8 in decimal = 0.125, 1/3 as a decimal = 0.333...

Types of Decimal Results

• Terminating Decimals: End after a finite number of digits (e.g., 1/2 = 0.5)
• Repeating Decimals: Have digits that repeat infinitely (e.g., 1/3 = 0.333...)
• Non-repeating Decimals: Continue infinitely without pattern (rare with simple fractions)

Common Fraction to Decimal Conversions Chart

Here are the most frequently searched fraction to decimal conversions:

Quick tip: Bookmark this page for easy access to our decimal fraction calculator and conversion chart!

Step-by-Step Guide: How to Convert Fractions to Decimals

Follow this detailed process to convert any fraction to decimal:

Method 1: Division

1. Take the numerator (top number)
2. Divide it by the denominator (bottom number)
3. The result is your decimal

Example: Convert 5/8 to decimal

5 ÷ 8 = 0.625

Method 2: Equivalent Fractions

1. Convert the fraction to have a denominator of 10, 100, or 1000
2. Write the numerator with the decimal point in the correct position

Example: Convert 3/4 to decimal

3/4 = 75/100 = 0.75

Popular Fraction to Decimal Examples

Students often search for these specific conversions. Here are the most common examples:

What is 1/8 in decimal?

1/8 in decimal form is 0.125. To get this result: 1 ÷ 8 = 0.125

What is 1/3 as a decimal?

1/3 as a decimal is 0.333... (repeating). This is because 1 ÷ 3 = 0.333333... with the 3 repeating infinitely.

How to convert 3/8 to decimal?

To convert 3/8 to decimal: 3 ÷ 8 = 0.375

What is 5/6 as a decimal?

5/6 as a decimal is 0.8333... (with 3 repeating). Calculate: 5 ÷ 6 = 0.8333...

Convert 7/10 to decimal

7/10 to decimal is simply 0.7. Any fraction with 10 as denominator is easy to convert.

Use our calculator fractions to decimals tool above to verify these results or convert any other fraction!

Frequently Asked Questions - How to Convert Decimals to Fractions