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Which ratios are equal to each other? A. 1 : 16 and 2 : 8 B. 2 : 32 and 4 : 8 C. 1 : 64 and 4 : 16 D. 1 : 16 and 4 : 64

2 Answers

6 votes
the answer to the question is d
Which ratios are equal to each other? A. 1 : 16 and 2 : 8 B. 2 : 32 and 4 : 8 C. 1 : 64 and-example-1
User Ethan SK
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7.9k points
4 votes

Answer:

D. 1:16 and 4:64

Explanation:

a ratio in the form
A:B is the same as
(A)/(B), we can simplify the quantities to a fraction that has a numerator of one and thus compare if they are equal or not:

  • A. 1:16 and 2:8


(1)/(16) already has a numerator of one, and
(2)/(8) if you divide numerator and denominator by two, you get
(1)/(4), and since


(1)/(16)
(1)/(4), these two ratios are not equal.

  • B. 2:32 and 4:8

We divide the numerator and denominator of
(2)/(32) by two to get a numerator of one:
(1)/(16) and for the second ratio
(4)/(8) we divide by four:
(1)/(2) and since


(1)/(16)
(1)/(2), these two ratios are not equal.

  • C. 1:64 and 4:16


(1)/(64) already has a numerator of one, and
(4)/(16) if you divide numerator and denominator by four, you get
(1)/(4), and since


(1)/(64)
(1)/(4), these two ratios are not equal.

  • D. 1:16 and 4:64


(1)/(16) already has a numerator of one, and
(4)/(64) if you divide numerator and denominator by four, you get
(1)/(16), and since


(1)/(16) =
(1)/(16), these two ratios are equal.

the answer is D. 1:16 and 4:64

User Mndrix
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