Question

Carlos says that if the numerators of two fractions are the same, you can compare the denominators to determine which

one is greater. Which statement best describes Carlos's idea?

Carlos is correct. If the numerators are the same, the fraction with the lesser denominator will be greater.

Carlos is correct. If the numerators are the same, the fraction with the greater denominator will be greater.

Carlos is incorrect. If the numerators are the same, the fractions will be equal.

Carlos is incorrect. You cannot compare fractions using only the denominators even if the numerators are equal.

Answer 1

A

Explanation:

Answer 2

Carlos is correct. If the numerators are the same, the fraction with the lesser denominator will be greater.

Explanation:

I'll answer this question using the following illustration.

Let a fraction be:

`(1)/(2)`

and another fraction

`(1)/(4)`

Both numerators are 1. In other words, they are equal

When you compare the denominator, 2 and 4, the fraction with lesser denominator is greater

This is so because:

`(1)/(2) = 0.5`

`(1)/(4) = 0.25`

By comparison

`0.5 > 0.25`

This analysis can be used for any fraction as long as they have the same numerator

Hence, option A answers the question