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?
Accepted Solution
A:
Answer:¹¹/₂₀ miStep-by-step 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.