Question

Which of the following pairs of ratios are equivalent?

Answer 1

Answer:

38 : 133 and 16 : 56 are equivalent

Step-by-step explanation:

Given

1) $38 : 133$ and $16 : 56$

2) $15 : 20$ and $28 : 56$

Required

Determine which is equivalent

1) $38 : 133$ and $16 : 56$

$Ratio = 38 : 133$

Divide by 19

$Ratio = 2:7$ --- can't be further simplified

$Ratio = 16 : 56$

Divide by 8

$Ratio = 2:7$

Hence:

$38 : 133$ and $16 : 56$ are equivalent

2) $15 : 20$ and $28 : 56$

$Ratio = 15 : 20$

Divide by 5

$Ratio = 3 : 4$

$Ratio = 28 : 56$

Divide by 28

$Ratio = 1:2$

Hence, both are not equivalent.