Question

Gia's bus route to school is 5 1/2 miles. The bus route home is 1 3/5 times as long. How long is Gia's bus route home?

Show work please

Answer 1

5.5* 1.6 = 8.8 miles or 8 4/5 miles home

Answer 2

Well, let's take this question by each sentence

Gia's bus route from home to school =
`5(1)/(2) miles`

Gia's bus route from school to home is
`1(3)/(5)` times as long

here 'as long' means the route from home to school mentioned earlier

that is
`5(1)/(2)`

so
`1(3)/(5)` times as long means

`1(3)/(5)` times
`5(1)/(2)`

=
`1(3)/(5)` X
`5(1)/(2)`

It is easier to multiply when we have our fractions in the proper form

=
`((1X5) +3)/(5) X ((5X2)+1)/(2)`

=
`(8)/(5) X (11)/(2)`

=
`(8X11)/(5X2)`

=
`(88)/(10)`

lets simplify this fraction to the mixed form

=
`(80)/(10) + (8)/(10)`

This simplifies to

`8+ (4)/(5)`

or
`8 (4)/(5)`

Hence Gia's route from school to home is
`8 (4)/(5)` miles