Identify the Starting Form
Determine whether you are converting a fraction to a decimal or a decimal to a fraction.
Free Interactive Math Tool
Fraction and Decimal Conversion
Convert fractions to decimals and decimals to fractions through guided division, place-value, equivalent-fraction, and simplification steps.
Learn the Conversion Methods First
Learn how to convert fractions to decimals using division and how to convert decimals to fractions using place value, equivalent fractions, and simplification.
Read the Fraction and Decimal GuideHow It Works
Convert Step by Step
The conversion method depends on whether the problem begins with a fraction or a decimal.
Divide or Use Place Value
Divide the numerator by the denominator or write the decimal over its place-value denominator.
Complete the Conversion
Write the decimal quotient or create the fraction using tenths, hundredths, or thousandths.
Simplify or Check
Simplify the fraction when necessary and verify that both forms represent the same value.
Interactive Practice
Fraction and Decimal Conversions
Correct
0
Problems
0
Streak
0
Convert the Fraction to a Decimal
3
4
0.75
1
Divide
2
Write Decimal
3
Check
Step 1
Divide the numerator by the denominator.
The fraction bar represents division. Enter the numerator as the dividend and the denominator as the divisor.
3
4
Step 2
Identify the decimal type.
Determine whether the decimal ends, repeats, or equals a whole number.
Step 3
Write the final decimal.
Enter the exact terminating decimal.
3
4
Use an ellipsis for a repeating decimal,
such as 0.333...
Step 1
Identify the place value.
The final decimal digit determines whether the unsimplified denominator is 10, 100, or 1,000.
Step 2
Write the decimal as a fraction.
Remove the decimal point to form the numerator, then use the correct place-value denominator.
0.75
Step 3
Simplify the fraction.
Divide the numerator and denominator by their greatest common factor.
Great job!
You completed the conversion correctly.
Remember
Fraction and Decimal Conversion Rules
Fraction to Decimal
Divide the numerator by the denominator.
3/4 = 3 ÷ 4 = 0.75
Decimal to Fraction
Write the decimal digits over the appropriate place-value denominator.
0.75 = 75/100
Simplify the Fraction
Divide the numerator and denominator by their greatest common factor.
75/100 = 3/4
Watch for Repeating Decimals
Some fractions produce decimals whose digits repeat forever.
1/3 = 0.333...
Keep Learning
Learn More About Fraction and Decimal Conversions
Review decimal place value, fraction division, terminating and repeating decimals, equivalent fractions, simplification, and worked examples in the complete guide.
Read the Fraction and Decimal Guide