Question

A cyclist planned to ride 9 1/2 miles but only managed to travel 3 7/8 miles. What fraction of his planned trip did he travel?

Can anyone help with this please?

Answer 1

The cyclist traveled 31/76 of his planned trip.

Answer 2

`(31)/(76)`

Explanation:

We know that a cyclist wanted to ride
`9(1)/(2)` miles but only managed to travel
`3(7)/(8)` and we want to know what fraction he actually travelled so we have to divide the two fractions so

`3(7)/(8)` ÷
`9(1)/(2)`

→ First convert to improper fractions

`(31)/(8)` ÷
`(19)/(2)`

→ Because it's dividing fractions we have to remember the rule of flipping the second fraction so then it becomes a multiplication

`(31)/(8)` ×
`(2)/(19)`

→ Simplify

`(31)/(76)`

So the cyclist had travelled only
`(31)/(76)` of his planned trip