Exercise 42 Page 270

The denominator of a fraction expresses how many equal parts the unit is divided into. The numerator tells us how many of those parts to move on the number line.

Practice makes perfect

To graph the given number on a number line, let's first consider its form. 3/4In this case, the given number is a fraction. The denominator of the fraction expresses how many equal parts each unit is divided into, and the numerator tells us how many of the parts to move over to get to the location on the number line. However, the number line from the exercise is already divided into 12 parts, and we will expand our fraction to match it.

3/4

ExpandFrac

a/b=a * 3/b * 3

3* 3/4* 3

Multiply

9/12

Next, we will move over 9 parts of the number line to mark the given fraction. Since the fraction is positive, it will be located to the right of 0.