Question

It took Mort one hour to ride 5 3/4 miles on his bike. How far will mort be able to ride in 3 1/2 hours?

Answer 1

In 1 hour Mort rides $5\frac{3}{4}$ miles on his bike.

We will convert the mixed fraction to improper fraction first.

$5\frac{3}{4} =\frac{(5)(4)+3}{4}=\frac{20+3}{4} =\frac{23}{4}$

We have to find the distance Mort will able to ride in $3\frac{1}{2}$ hours.

$3\frac{1}{2} =\frac{(3)(2)+1}{2}=\frac{6+1}{2} =\frac{7}{2}$

So in $\frac{7}{2}$ hours Mort will ride

= $(\frac{23}{4})(\frac{7}{2})$ miles

= $\frac{(23)(7)}{(4)(2)}$ miles

= $\frac{161}{8}$ miles

Now we will convert this improper fraction to mixed fraction. We will get,

$\frac{161}{8} = 20\frac{1}{8}$ miles

We have got the required answer here.

Mort will be able to ride $20\frac{1}{8}$ miles.