Word problem 111

Question

You want to place a towel bar that is 24 ¹⁄₄ centimeters long in the center of a door that is 70 ¹⁄₃ centimeters wide. How far should you place the bar from each edge of the door? (Write the answer as a mixed number.)

Answer 1

70 and 1/3 = 211/3

Half of that is 211/6 = 35 and 1/6. Put a mark at that spot on the door.

24 and 1/4 = 97/4

Half of that is 97/8 = 12 and 1/8.. Put a mark at that spot on the bar.

The measure of the end of the bar to the edge of the door is

35 and 1/6 - 12 and 1/8 = 211/6 - 97/8 =

844/24 - 291/24 =

553/24 =

23 and 1/24

CHECK:

23 and 1/24 + 23 and 1/24 + 24 and 1/4 =

553/24 + 552/24 + 97/4 =

553/24 + 552/24 + 582/24 =

1688/24 = 422/6 = 211/3 = 70 and 1/3

23 and 1/24 from the end of the bar to the edge of the door