### Home > MC1 > Chapter 7 > Lesson 7.2.5 > Problem7-95

7-95.

Where should each of the fractions described below be on a number line? For each one, include an example to support your ideas.

1. The numerator is very small compared to the size of the denominator.

A fraction becomes smaller as the denominator gets bigger and the numerator gets smaller.

2. The numerator is about half the size of the denominator.

Consider the fraction five-eighths, which is very close to four-eighths. What is another way to write four-eighths?

If the number is about half the size of the denominator the fraction should be close to

$\frac{1}{2} \text{ on the number line.}$

3. The numerator is about the same size as the denominator.

Think about the Giant Ones. How does the numerator relate to the denominator?
How far would the number move on the number line if the numerator were one integer bigger or smaller?

4. The numerator is much larger than the denominator.

This situation is opposite from part (a). Consider your answer to part (a) as you answer this problem.

Its position will be much larger than $1$.