Question

Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answer 1

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

`5 + (1)/(4) = (5*4 + 1)/(4) = (20+1)/(4) = (21)/(4)`

Noah biked 2 1/2 miles.

So, in miles, he biked:

`2 + (1)/(2) = (2*2 + 1)/(2) = (4+1)/(2) = (5)/(2)`

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

`((21)/(4))/((5)/(2)) = (21)/(4) * {2}{5} = (21*1)/(2*5) = (21)/(10) = 2.1`

The length of Mai's bike ride was 2.1 times the length of Noah's ride.