Question

7. Each of these is a pair of equivalent ratios. For each pair, explain whythey are equivalent ratios or draw a representation that shows why theyare equivalent ratios.a. 5:1 and 15:3Ib. 25:5 and 10:2

Answer 1

In order to check if these ratios are equivalent, we just need to simplify them to the simplest fraction.

a.

5:1 is already in the simplest fraction: 5/1 = 5:1

15:3 -> 15/3 = 5/1 = 5:1

The ratios in the simplest form are the same, so the ratios are equivalent.

b.

25:5 -> 25/5 = 5/1 = 5:1

10:2 -> 10/2 = 5/1 = 5:1

Both ratios represent the ratio 5:1, so they are equivalent.

Summarizing, we just need to divide the numerator and denominator (or the first and second number in the ratio) and check if the result is the same.