Question

Which ratio is smaller of the two: 4:42 or 32:96?
A. 4:42
B. 33:36
C. Not Defined
D. Cannot be calclulated​

Answer 1

Answer:

B) 33:36 is the smaller ratio

Step-by-step explanation:

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Answer 2

Given:

Two ratios- 4:42 and 32:96

To find:

Which ratio is smaller?

Solution:

To find which ratio is greater, we need to make the two denominators equal by multiplying both the ratios with a number.

In this case, the two ratios are first simplified into their simplest forms:

4:42 = 2:21

32:96= 1:3

First we find the LCM of the two denominators, 3 and 21 so we get 21 as the LCM

Now we need to change both the denominators to 21

2:21 already has the denominator as 21 so we multiply the fraction with 1

1:3 is multiplied by 7 so we get, 7: 21

As the denominators are now the same, we need to compare the values of the numerators only

In this case, the numerators are 2 and 7. As 2<7 so the ratio 2:21 is smaller.

The ratio 4:42 is smaller than 32:96.