CPM Homework Help : MC1 Problem 6-93

Jill lives $3\frac { 1 } { 2 }$ miles from school. One morning, her friend was giving her a ride. When they were $\frac { 2 } { 3 }$ of the way to school, their car broke down and they had to walk the rest of the way. Draw a picture to help you figure out how far they walked.

Hint 1:

If Jill and her friend were able to drive $\frac{2}{3}$ of the way to school, then they had to walk $\frac{1}{3}$ of the way.

Hint 2:

The number line below is numbered $0$ through $4$ . In order to find the total value of $\frac{1}{3}$ of $3\frac{1}{2}$ , A number line, scaled and labeled for each half, from 0 to 4.

Step 1:

First, find $\frac{1}{3}$ or $3$ . A line segment is added below the number line, divided in thirds. The sections are aligned with the numbers 0, 1, 2, and 3.

Step 2:

Now find $\frac{1}{3}$ of $\frac{1}{2}$ . A line segment is added below both line segments, also divided in thirds. The first mark is aligned with 3, and the last mark, with 3 and 1 half.

Hint 3:

Were you able to find the distance Jill walked?
Remember to draw a picture of your own!

A number line, scaled and labeled for each half, from 0 to 4.

A line segment is added below the number line, divided in thirds. The sections are aligned with the numbers 0, 1, 2, and 3.

A line segment is added below both line segments, also divided in thirds. The first mark is aligned with 3, and the last mark, with 3 and 1 half.