### Home > MC1 > Chapter 7 > Lesson 7.3.1 > Problem7-104

7-104.

Jane has two broken ruler segments. One shows from $1\frac{1}{2}$ to $3$ inches, and the other shows $3\frac{1}{4}$ to $5\frac{1}{2}$ inches. Which piece is longer? How much longer is it?

You can use subtraction to find the length of each segment and then you can compare them.

Find the length of the first segment.

$3-1\frac{1}{2}=3\frac{2}{2}-\frac{3}{2}=\frac{6}{2}-\frac{3}{2}=\frac{3}{2}=1\frac{1}{2}\text{ inches}$

Find the length of the second segment.

$5\frac{1}{2}-3\frac{1}{4}=\frac{11}{2}-\frac{13}{4}=\frac{22}{4}-\frac{13}{4}=\frac{9}{4}=2\frac{1}{4} \text{ inches}$

The second segment is longer. Use subtraction to figure out the difference in their lengths.