Equivalent Fractions

Equivalent Fractions

I can identify equivalent fractions.

Getting the Idea

• Fractions can have different numerators and denominators and have the same value. These fractions name the same parts of a whole and are called equivalent fractions.

• For example, the picture below shoes the equivalent fractions  $\frac{2}{3}$  and  $\frac{4}{6}$  .

Example 1

• Write two equivalent fractions that name the shaded parts of the circle.

• Strategy: Look at the shaded parts of the circle in two ways.

• Count the number of equal parts and the number of shaded parts. There are 4 equal parts. There are 2 shaded prts. So,  $\frac{2}{4}$  of the circle is shaded.

• Look at the shaded parts another way. The two shaded parts are half of the circle. One  half of the circle is shaded. So  $\frac{1}{2}$   of the circle is shaded. 

• Therefore  $\frac{1}{2}$  and  $\frac{2}{4}$  are equivalent fractions.

Multiple Choice

Which fraction is equivalent to  $\frac{1}{4}$  ?

•  $\frac{1}{8}$  

•  $\frac{2}{8}$  

•  $\frac{4}{8}$  

•  $\frac{6}{8}$  

Multiple Choice

What fration is equivalent to  $\frac{2}{6}$  ?

•  $\frac{1}{9}$  

•  $\frac{1}{4}$  

•  $\frac{1}{3}$  

•  $\frac{1}{2}$  

Multiple Choice

Look at the circle below. Which also shows  $\frac{1}{2}$  of the circle shaded?

• A

• B

• c

• D

Multiple Choice

Which fraction is equivalent to  $\frac{3}{4}$  ?

•  $\frac{2}{8}$  

•  $\frac{3}{8}$  

•  $\frac{1}{2}$  

•  $\frac{6}{8}$  

Multiple Choice

Which two fractions are equivalent?

• $\frac{2}{2}$ and $\frac{3}{3}$

• $\frac{2}{2}$ and $\frac{2}{3}$

• $\frac{1}{2}$ and $\frac{2}{3}$

• $\frac{1}{2}$ and $\frac{1}{3}$