A photographic negative measures 1 7/8 inches by 2 1/2 inches. If the longer side of the printed picture is to be 4 inches, what will be the length of the shorter side of the printed picture?

A.) 3 1/8 inches

B.) 3 inches

C.) 2 3/4 inches

D.) 2 1/2 inches

E.) 2 3/8 inches

A.) 3 1/8 inches

B.) 3 inches

C.) 2 3/4 inches

D.) 2 1/2 inches

E.) 2 3/8 inches

Currently it is 1 7/8 by 2 1/2

The longer side is to be 4 inches

y inches by 4 inches will be the new dimensions of the printed picture

Set up a proportion

1 7/8 2 1/2

-------- = ---------- {set up the proportion}

y 4

15/8 5/2

-------- = -------- {changed all fractions to improper fractions}

y 4

4(15/8) = (5/2)y {cross-multiplied}

15/2 = (5/2)y {cancelled and multiplied what's left}

y = 3 {divided both sides by 5/2, multiplying by reciprocal, 2/5}

The length of the shorter side of the printed picture will be 3.

**B.) 3**

*© Algebra House*