Question

How many miles an hour would you go if you rode at 12 5/6 miles in 2/3 hour

Answer 1

We are asked to determine the quotient of miles over hours for 12 5/6 miles and 2/3 hours. To do that we determine the quotient as follows:

`r=\frac{12\text{ }(5)/(6)}{(2)/(3)}`

Now we convert the mixed fraction into a regular fraction using the following relationship:

`a(b)/(c)=a+(b)/(c)`

Applying the relationship we get:

`r=(12+(5)/(6))/((2)/(3))`

Now, we solve the operation in the numerator:

`r=((77)/(6))/((2)/(3))`

Now, we use the following relationship to solve the quotient:

`((a)/(b))/((c)/(d))=(a)/(b)*(d)/(c)`

Applying the relationship we get:

`r=((77)/(6))/((2)/(3))=(77)/(6)*(3)/(2)`

Solving the operations:

`r=(231)/(12)=19.25`

Therefore, the quotient is 19.25 miles per hour.