Question

When we compare two fractions with the same numerator, which

statement below is true?
А
The fractions with the same
numerators are the same.
11
The fraction with the smaller
denominator is the larger fraction.
C
The fraction with the larger
denominator is the larger fraction.
D.
We cannot say which is larger or
smaller than the other.

Answer 1

The fraction with the smaller denominator is the larger fraction.

Explanation:

Let's take
`(5)/(6)` and
`(5)/(10)`. The larger the denominator, the more the number of pieces. So if you have a pizza box divided into 6 slices, and they are all the same size, compared to that same box of pizza divided into 10 slices. Each of those 10 slices will be smaller than the 6 slices. Now if you eat 5 of the 6 slices, compared to if you eat 5 of the 10 slices, which one will make you more full and you know that you have eaten a lot? Of course, it is the 5 out of 6 slices because each of those slices is bigger. So the smaller the denominator of the fraction, the larger it is (if the numerator stays the same).