Identifying Equivalent Fractions

11+ Maths, topic 2.1.2

Identifying Equivalent Fractions

Some fractions have different denominators (numbers on the bottom), but can be equivalent. This means they describe the same amount.

4⁄8  1⁄2

4⁄8 = 1⁄2

  • Count these pizza slices. There are 8 slices in total. So half a pizza is 4 slices.
  • The fraction 4⁄8 is the same amount as 1⁄2. We call these equivalent fractions.
Checking equivalent fractions

Checking equivalent fractions

  • You can check that fractions are equivalent by simplifying them.
  • To simplify 4⁄8, find the largest number that you can divide both 4 and 8 by (the largest common factor).
  • The largest common factor is 4.
Simplify 4⁄8

Simplify 4⁄8

  • So to simplify 4⁄8, divide both 4 and 8 by 4.
Simplest form  1⁄2

Simplest form = 1⁄2

  • So the simplest form of 4⁄8 is 1⁄2.
    • This means 4⁄8 and 1⁄2 are equivalent fractions.

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