Math Snap

STEP 1

1. We need to find the numerator of the first fraction to make it equivalent to the second fraction.
2. The two fractions are $\frac{\square}{24}$ and $\frac{5}{8}$.

STEP 2

1. Set up an equation.
2. Solve for the unknown numerator.

STEP 3

Set up the equation to represent the equivalence of the two fractions.
$$\frac{x}{24} = \frac{5}{8}$$ where $x$ is the unknown numerator.

STEP 4

To solve for $x$, cross-multiply to eliminate the fractions.
$$x \cdot 8 = 5 \cdot 24$$

STEP 5

Calculate the right side of the equation.
$$5 \cdot 24 = 120$$

STEP 6

Solve for $x$ by dividing both sides by $8$.
$$x = \frac{120}{8}$$

Calculate the value of $x$.
$$x = 15$$ The value that makes the two fractions equivalent is:
$$\boxed{15}$$