Question

Joni is placing an ad in a local paper. Her original design for thead is 6 inches wide and 4 1/2 inches tall, but the space availableis only 4 1/8 inch wide.If she shrinks the design to fit, how tall will the ad be?

Answer 1

Joni is placing an ad in a local paper. Her original design for the

ad is 6 inches wide and 4 1/2 inches tall, but the space available

is only 4 1/8 inch wide.

If she shrinks the design to fit, how tall will the ad be?

step 1

Convert mixed number to an improper fraction

4 1/2=4+1/2=9/2

4 1/8=4+1/8=33/8

step 2

Find the scale factor

Divide 33/8 by 9/2

so

`(33)/(8)\colon(9)/(2)=(33\cdot2)/(8\cdot9)=(33)/(36)=(11)/(12)`

step 3

Multiply the scale factor by the tall of the original design

6*(11/12)=66/12 =5.5 inches

5.5 inches=5 1/2 inches

answer is 5 1/2 in