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🔁 Converting Fractions and Decimals

Turn a fraction into a decimal by dividing, change a decimal back into a fraction using place value, and learn the handy ones by heart.

3
lessons
~15 min
to learn
🔢 Math
subject
Ages 6–12
level
Start the course →

What you’ll learn

  1. Fractions to DecimalsConvert a fraction to a decimal by dividing the numerator by the denominator.The fraction bar means divide, so 3/4 = 3 ÷ 4 = 0.75 and 1/2 = 0.5. A decimal splits one whole into tenths and hundredths — 0.6 is six tenths. Dividing the top by the bottom turns any fraction into its decimal.
  2. Decimals to FractionsConvert a decimal to a fraction using place value, then simplify.To turn a decimal into a fraction, read its place value, write it over that place, and simplify: 0.6 is six tenths, 6/10 = 3/5. Money is a handy guide — $0.25 is 25/100 = 1/4 and $0.50 is 1/2.
  3. The Handy Ones to KnowRecall common fraction, decimal, and percent equivalents and use them to compare values.A few conversions come up constantly: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%, 1/5 = 0.2 = 20%, and 1/10 = 0.1 = 10%. Knowing them makes converting instant and lets you compare decimals and fractions quickly — for example, seeing that 0.6 is more than 1/2.

Questions this course answers

The fraction bar in 3/4 tells you to...?

The fraction bar means divide the top by the bottom, so 3/4 = 3 ÷ 4 = 0.75.

What is 0.6 as a fraction in simplest form?

0.6 is six tenths, 6/10, which simplifies to 3/5.

$0.25 is what fraction of a dollar?

A quarter is 25/100, which simplifies to 1/4.

What is 0.2 as a fraction in simplest form?

0.2 is two tenths, 2/10, which simplifies to 1/5.

Grounded in trusted sources

  • Khan Academy
  • Math is Fun
  • Britannica Kids
  • BBC Bitesize

Every Wunder lesson is built from real, reputable sources — never invented.

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