Question

Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?

Answer 1

The given information is expressed in ratio. However, a ratio is basically a fraction. So, 4:10 is just equal to 4/10 or 2/5 in simplified terms. Similarly, 12:20 is just equal to 12/20 or 6/5 in simplified terms. The smaller ratio is 2/5 because the numerator is less than the denominator. So, it follows that the answer is less than 1. The other ratio has a much greater numerator. So, we would expect that that would be greater than 1.

Answer 2

We are required to find the smaller ratio using fractions

The smaller ratio is 2/5 because it has a smaller numerator.

Given:

• 4 : 10

= 4 / 10

divide by 2

= 2/5

= 2 : 5

• 12 : 20

divide by 4

= 3 / 5

= 3 : 5

comparing

2 / 5 and 3 / 5

The smaller ratio is 2/5 because it has a smaller numerator. Both ratio has the same denominator

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