Question

Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many miles long is Trail B then Trail A

Answer 1

Answer: Trial B is
`1(3)/(4)` miles longer then Trail A.

Explanation:

Length of Trail A =
`6\frac34` miles

=
`(24+3)/(4)` miles =
`(27)/(4)` miles.

Length of Trail B =
`8\frac12` miles

=
`(16+1)/(2)` miles =
`(17)/(2)` miles.

Trial B is longer then Trail A by
`(17)/(2)-(27)/(4)` miles

`=(17*2)/(2*2)-(27)/(4)` miles

`=(34)/(4)-(27)/(4)` miles

`=(7)/(4)` miles

`=1(3)/(4)` miles

Hence, Trial B is
`1(3)/(4)` miles longer then Trail A.