Question

Melanie walked her dog 1 1/5 miles Cathy walked her dog 1 3/4 times as far as Melanie did.how many more miles did Cathy walk her dog?

Answer 1

¹¹/₂₀ mi

Explanation:

Cathy's distance = 1¾ mi

Melanie's distance = 1⅕ mi

Difference = 1¾ -1⅕

Subtract the integers and the fractions separately.

1 - 1 = 0

Convert the fractions to common denominators

1¾ -1⅕ = ⁷/₄ - ⁶/₅

The least common multiple of 4 and 5 is 20.

¾ - ⅕ = ¹⁵/₂₀ - ⁴/₂₀

Subtract the two fractions.

¹⁵/₂₀ - ⁴/₂₀ = ¹¹/₂₀

Cathy walked her dog ¹¹/₂₀ mi more than Melanie did.