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
[tex]\frac{33}{8}\colon\frac{9}{2}=\frac{33\cdot2}{8\cdot9}=\frac{33}{36}=\frac{11}{12}[/tex]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