Question

Hallie bikes 1 5/8 km before lunch 6 1/4 km How much farther does hallies bike after lunch than before lunch? Express your answer as a mixed number in simplest form. Enter your answer in the box.

Answer 1

Distance biked before lunch = 1
`(5)/(8)` km (the number is written in mixed fraction)

⇒ Distance biked before lunch =
`(13)/(8)`

Distance biked after lunch = 6
`(1)/(4)` km (the number is written in mixed fraction)

⇒ Distance biked after lunch =
`(25)/(4)`

We need to determine how much farther does Hallie bike after lunch than before lunch

Extra distance biked after lunch vs. before lunch =
`(25)/(4)` -
`(13)/(8)`

⇒ Extra distance biked after lunch vs. before lunch =
`(50-13)/(8)`

⇒ Extra distance biked after lunch vs. before lunch =
`(37)/(8)`

⇒ Extra distance biked after lunch vs. before lunch = 4
`(5)/(8)` (in mixed fraction)

Hence, Hallie biked 4
`(5)/(8)` km extra after lunch vs. before lunch.