Question

A customer wants you to enlarge a photo to 2 3/4 its current height. The photo’s current height is 3 1/4 inches. What should its enlarged height be, in inches?

Answer 1

Answer:

8  15/16 inches

Step-by-step explanation:

Multiply 3  1/4 inches by 2  3/4:

13      11

---- * ----- = 146/16 inches, or 8.9375 inches, or 8  15/16 inches.

 4       4

Answer 2

Answer:  The required enlarged height of the photo is $8\dfrac{15}{16}~\textup{inches}.$

Step-by-step explanation:  Given that a customer wants you to enlarge a photo to $2\dfrac{3}{4}$ its current height and the photo’s current height is $3\dfrac{1}{4}$ inches.

We are to find the enlarged height of the photo in inches.

The enlarged height of the photo is given by

$2\dfrac{3}{4}\times \textup{current height of the photo}\\\\\\=\dfrac{11}{4}\times3\dfrac{1}{4}\\\\\\=\dfrac{11}{4}\times\dfrac{13}{4}\\\\\\=\dfrac{143}{16}\\\\=8\dfrac{15}{16}.$

Thus, the required enlarged height of the photo is $8\dfrac{15}{16}~\textup{inches}.$