Skill: Generate equivalent fractions

Equivalent fractions have the same value, even though their numerators and denominators may be different.

To make an equivalent fraction, multiply both the numerator and denominator by the same nonzero whole number.

Example

Generate an equivalent fraction for

$$\frac{3}{4}$$

using $5$ as the scale factor.

1. Multiply the numerator by $5$:

$$3 \times 5 = 15$$

2. Multiply the denominator by $5$:

$$4 \times 5 = 20$$

3. Write the new fraction:

$$\frac{3}{4}=\frac{15}{20}$$

So, $\frac{15}{20}$ is equivalent to $\frac{3}{4}$. Both fractions represent the same amount because the numerator and denominator were multiplied by the same number.