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?

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 = $5\frac{1}{2} miles$

Gia's bus route from school to home is $1\frac{3}{5}$ times as long

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

that is $5\frac{1}{2}$

so $1\frac{3}{5}$ times as long means

$1\frac{3}{5}$ times $5\frac{1}{2}$

=$1\frac{3}{5}$ X $5\frac{1}{2}$

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

=$\frac{(1X5) +3}{5} X \frac{(5X2)+1}{2}$

=$\frac{8}{5} X \frac{11}{2}$

=$\frac{8X11}{5X2}$

=$\frac{88}{10}$

lets simplify this fraction to the mixed form

= $\frac{80}{10} + \frac{8}{10}$

This simplifies to

$8+ \frac{4}{5}$

or $8 \frac{4}{5}$

Hence Gia's route from school to home is $8 \frac{4}{5}$ miles