Determine if 5/8 and 15/24 are equivalent ratios

To determine if two ratios are equivalent, we simplify both ratios and check if they are equal.

Simplifying 5/8:
The only common factor between 5 and 8 is 1, so the ratio 5/8 is already simplified.

Simplifying 15/24:
We can simplify the ratio 15/24 by dividing both the numerator and denominator by 3 (since 3 is the highest common factor between 15 and 24).
15 ÷ 3 = 5
24 ÷ 3 = 8

So, the simplified version of 15/24 is 5/8.

Since both 5/8 and 15/24 simplify to 5/8, the two ratios are equivalent.