Equivalent fractions

key notes :

Equivalent fractions are fractions that have different numerators and denominators but are equal to the same value.

What are equivalent fractions?

Equivalent fractions are fractions that show the same amount. For example, the fractions 1/2, 2/4, and 3/6 are all equivalent fractions. Look at the models to see why.

Models showing one half, two fourths, and three sixths of a circle filled in.

Equivalent fractions with number lines

You can show equivalent fractions on number lines, too. The fractions 1/2, 2/4, and 3/6 are all equivalent. They are all halfway between 0 and 1.

Learn with an example

😐 Which fractions are equivalent to 3/4 ?

Hint: There may be more than one.

  • 4/6
  • 9/12
  • 6/8
  • 7/10

You can use number lines. First show 3/4 ,

9/12 and  6/8  are equivalent to 3/4 .

😐 Which fraction is equivalent to 3/6 ?

  • 1/2
  • 4/7
  • 5/8
  • 7/12

You can use number lines. First show 3/6 .

1/2  is equivalent to 3/6 .

😐 Which fractions are equivalent to 6/8 ?

  • 5/6
  • 3/4
  • 7/11
  • 9/12

You can use number lines. First show 6/8 .

3/4 and  9/12  are equivalent to  6/8 .

Let’s practice!