Well, let's take this question by each sentence
Gia's bus route from home to school = [tex] 5\frac{1}{2} miles [/tex]
Gia's bus route from school to home is [tex] 1\frac{3}{5} [/tex] times as long
here 'as long' means the route from home to school mentioned earlier
that is [tex] 5\frac{1}{2} [/tex]
so [tex] 1\frac{3}{5} [/tex] times as long means
[tex] 1\frac{3}{5} [/tex] times [tex] 5\frac{1}{2} [/tex]
=[tex] 1\frac{3}{5} [/tex] X [tex] 5\frac{1}{2} [/tex]
It is easier to multiply when we have our fractions in the proper form
=[tex] \frac{(1X5) +3}{5} X \frac{(5X2)+1}{2} [/tex]
=[tex] \frac{8}{5} X \frac{11}{2} [/tex]
=[tex] \frac{8X11}{5X2} [/tex]
=[tex] \frac{88}{10} [/tex]
lets simplify this fraction to the mixed form
= [tex] \frac{80}{10} + \frac{8}{10} [/tex]
This simplifies to
[tex] 8+ \frac{4}{5} [/tex]
or [tex] 8 \frac{4}{5} [/tex]
Hence Gia's route from school to home is [tex] 8 \frac{4}{5} [/tex] miles
