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 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
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