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Convert 3/4 to 0.75: Fraction to Decimal Converter

Convert any fraction to its decimal form instantly. Enter a numerator and denominator to see the result, the step-by-step division, and whether the decimal terminates or repeats. Works for proper fractions, improper fractions, and large numbers.

Quick Tips

  • To convert a fraction to a decimal, divide the numerator by the denominator
  • Some fractions convert to terminating decimals (like 1/2 = 0.5)
  • Others convert to repeating decimals (like 1/3 = 0.333...)
  • To convert a decimal to a fraction, write it as a fraction with a denominator of 1, then multiply by 10 for each decimal place
  • Use the share button to save and share your conversions with others
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Common Fraction to Decimal Conversions

Fraction Decimal Type
1/20.5Terminating
1/30.333…Repeating
1/40.25Terminating
1/50.2Terminating
1/60.1666…Repeating
1/80.125Terminating
1/100.1Terminating
2/30.6666…Repeating
3/40.75Terminating
3/80.375Terminating
5/80.625Terminating
7/80.875Terminating

Convert a Fraction to a Decimal in Your Head

For the denominators you meet most often, you do not need to divide at all. Memorise the unit fraction, then multiply by the numerator.

The four worth memorising

  • Halves: 1/2 = 0.5
  • Quarters: each quarter is 0.25, so 3/4 = 3 × 0.25 = 0.75
  • Fifths: each fifth is 0.2, so 4/5 = 4 × 0.2 = 0.8
  • Eighths: each eighth is 0.125, so 3/8 = 3 × 0.125 = 0.375

Turning a repeating decimal back into a fraction

Multiply by 10 raised to the length of the repeating block, then subtract the original:

  • 0.333… has a 1-digit block: 10x − x = 3, so 9x = 3 and x = 1/3
  • 0.142857142857… has a 6-digit block, so multiply by 1,000,000 instead of 10. The answer is 1/7

Thirds and sixths always repeat, because 3 is a prime factor that is neither 2 nor 5. Anything built only from 2s and 5s (halves, quarters, fifths, eighths, tenths) terminates.

Understanding Fraction to Decimal Conversion

Fraction to Decimal

To convert a fraction to a decimal, divide the numerator by the denominator:

Step-by-Step Guide:

  1. Divide the numerator by the denominator
  2. If the division doesn't end evenly, you'll get a repeating decimal
  3. For example: 1/2 = 0.5 (terminating) or 1/3 = 0.333... (repeating)

Pro Tip:

A fraction will have a terminating decimal if its denominator (after simplifying) has no prime factors other than 2 and 5.

Decimal to Fraction

To convert a decimal to a fraction, follow these steps:

Step-by-Step Guide:

  1. Write the decimal as a fraction with a denominator of 1
  2. Multiply both the numerator and denominator by 10 for each digit after the decimal point
  3. Simplify the resulting fraction

Pro Tip:

For repeating decimals, you'll need a more advanced method to convert to a fraction. Our converter handles this automatically!

Share Your Learning Journey

Found a helpful example? Share it with others!

  • Share conversions with classmates
  • Help others understand fraction-decimal relationships
  • Save examples for later reference
  • Create practice problems for students

Related Tools

Fraction Simplifier

Reduce any fraction to its simplest form

Decimal to Fraction Converter

Convert decimals back to fractions

Frequently Asked Questions

Common questions about converting fractions to decimals

To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 3/4: divide 3 by 4 to get 0.75. If the division ends cleanly, it's a terminating decimal. If it repeats, it's a repeating decimal (like 1/3 = 0.333...).

A terminating decimal ends after a finite number of digits (e.g., 1/2 = 0.5, 1/4 = 0.25). A repeating decimal has one or more digits that repeat forever (e.g., 1/3 = 0.333..., 1/6 = 0.1666...). A fraction produces a terminating decimal when its denominator, after simplifying, has no prime factors other than 2 and 5.

For a terminating decimal like 0.75: write it as 75/100, then simplify by dividing both by their GCD (25) to get 3/4. For a repeating decimal like 0.333...: set x = 0.333..., multiply by 10 to get 10x = 3.333..., subtract to get 9x = 3, so x = 3/9 = 1/3.

The most useful ones to memorize: 1/2 = 0.5, 1/3 = 0.333..., 1/4 = 0.25, 3/4 = 0.75, 1/5 = 0.2, 1/8 = 0.125, 1/10 = 0.1, 2/3 = 0.666..., 5/8 = 0.625, 7/8 = 0.875.

Fractions people convert most

Every one of these has its own page with the full division and a visual model.