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💯 Equivalent Fractions and Percents

See how different-looking fractions can name the same amount, and discover percents as a special way to write fractions out of 100.

3
lessons
~20 min
to learn
🔢 Math
subject
Ages 6–12
level
Start the course →

What you’ll learn

  1. Same Amount, Different FractionUnderstand equivalent fractions and make them by multiplying the top and bottom by the same number.Fractions that name the same amount are equivalent, like 1/2 and 2/4, which shade the same length. To make an equivalent fraction, multiply the top and bottom by the same number: 1/2 times 2 over 2 gives 2/4. Many fractions, such as 3/6 and 5/10, are secretly equal to one half.
  2. Percents Are Out of 100Understand percent as a fraction out of 100 and link common percents to simple fractions.Percent means 'out of 100', so it is a special fraction with 100 on the bottom. That makes some percents match fractions you already know: 50% is one half, and 25% is one quarter. A whole is 100%, so a 25% discount fills one quarter of a bar and leaves 75%.
  3. Fractions and Percents TogetherConvert simple fractions to percents and match percents with their fractions.Fractions and percents are two ways to describe the same part of a whole. A score of 3 out of 4 is three quarters, or 75%. Friendly pairs to know are 1/2 = 50%, 1/4 = 25%, 3/4 = 75%, and 1/10 = 10%. Once you know these, you can switch between fractions and percents with ease.

Questions this course answers

Which fraction is equivalent to 1/2?

2/4 covers the same amount as 1/2, because 2 is half of 4.

To make an equivalent fraction, you multiply the top and bottom by...

Multiplying the top and bottom by the same number keeps the fraction equal.

Which fraction is NOT equal to 1/2?

For 1/2 the top must be half of the bottom. In 2/3, 2 is more than half of 3, so it is not equal to a half.

The word 'percent' means...

Percent means 'out of 100', so 25% is 25 out of 100.

25% is the same as which fraction?

25 out of 100 simplifies to one quarter, so 25% = 1/4.

10% written as a fraction is...

10 out of 100 simplifies to one tenth, so 10% = 1/10.

Grounded in trusted sources

  • Khan Academy
  • BBC Bitesize — Maths
  • NCTM
  • Math is Fun

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

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