Question

Louisa biked 50 4/5 miles in 4 hours. How many miles did she bike per hour?

Answer 1

she biked 40 miles in 4 hours

Answer 2

`(127)/(10) = 12.7`

Explanation:

First, let's convert our mixed fraction 50 4/5, into an improper fraction. In order to do that, we can find an equivalent fraction to 50:

`50 = (50)/(1) = (250)/(5)`

Now, adding the 4/5, we get

`50 + 4/5 = (250)/(5) + 4/5 = (254)/(5)`

As we know how much she biked in four hours, we will divide it by 4, in order to get how much she biked in one hour.

`(254/5)/(4) = (245/5)/(4/1)`

Now we divide these fractions. We can do that multiplying 254*1= 254 and 4*5=20 and dividing that:

`(254)/(20)`

Finally, we have to simplify the fraction

`(254)/(20) = (127)/(10)`