The problem asks to find a fraction that is equivalent to $\frac{5}{8}$ and has a denominator of 32.

1. Problem Description

The problem asks to find a fraction that is equivalent to $\frac{5}{8}$ and has a denominator of

3

2.

2. Solution Steps

To find an equivalent fraction, we need to multiply both the numerator and the denominator of the original fraction by the same number. Let the equivalent fraction be $\frac{x}{32}$.

Since $\frac{5}{8} = \frac{x}{32}$, we need to find the number that, when multiplied by 8, results in

3

2. $8 \times n = 32$, where n is the number we need to multiply the denominator by.

Dividing both sides by 8, we get:

$n = \frac{32}{8} = 4$

So, we need to multiply both the numerator and denominator of $\frac{5}{8}$ by 4 to get the equivalent fraction with a denominator of

3

2. $\frac{5 \times 4}{8 \times 4} = \frac{20}{32}$

3. Final Answer

The fraction equivalent to $\frac{5}{8}$ with a denominator of 32 is $\frac{20}{32}$.