Question

A trail map has a scale of 3 inches to 2 miles. On the map, a trail is

5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles

D. 7 and 7/8 miles

Answer 1

Answer: C. 3 and 1/2 miles

Explanation:

Convert the scale to a unit measure.

3 inches to 2 miles. Divide both numbers by 3.

1 inch = ²/₃ mile

Multiply the inches by the unit scale.

5¹/₄ × ²/₃ change to improper fraction ²¹/₄ × ²/₃ = ⁴²/₁₂ 3⁶/₁₂

That is 3 and 1/2 miles