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?

Answer 1

Answer:

The cyclist traveled 31/76 of his planned trip.

Answer 2

Answer:

$\frac{31}{76}$

Step-by-step explanation:

We know that a cyclist wanted to ride $9\frac{1}{2}$ miles but only managed to travel $3\frac{7}{8}$ and we want to know what fraction he actually travelled so we have to divide the two fractions so

$3\frac{7}{8}$ ÷ $9\frac{1}{2}$

→ First convert to improper fractions

$\frac{31}{8}$ ÷ $\frac{19}{2}$

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

$\frac{31}{8}$ × $\frac{2}{19}$

→ Simplify

$\frac{31}{76}$

So the cyclist had travelled only $\frac{31}{76}$ of his planned trip