Equivalent Fractions

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numbers may be different. For example, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ .

To find equivalent fractions, you can multiply or divide the numerator and denominator of a fraction by the same non-zero number. For example, multiplying $$\frac{1}{3}$$ by 2 gives $$\frac{2}{6}$$ .

$$\frac{3}{4} = \frac{9}{12}$$ . Multiply both the numerator and denominator by 3.

$$\frac{1}{2}$$ . Both fractions represent the same value.

x = 4. Cross-multiply to find the value.

5. Multiply the numerator by 5.

They are equivalent fractions. $$\frac{6}{8}$$ simplifies to $$\frac{3}{4}$$ .

$$\frac{1}{2}$$ . Both fractions represent the same value.

c = 9. Cross-multiply to find the value.

$$\frac{6}{9}$$ . Multiply both the numerator and denominator by 3.