Question

4 Wednesday Mike ran a trail that was miles long Thursday he chose a different path that was 3- miles long What was Mike's total distance running Wednesday and Thursday?

Answer 1

1) Gathering the data

Mike ran 2 3/4 miles long

Thu

Mike ran 3 1/8

2) Let's convert those mixed numbers:

`\begin{gathered} 2(3)/(4)=(4*2+3)/(4)=(11)/(4) \\ 3(1)/(8)=(8*3+1)/(8)=(25)/(8) \end{gathered}`

We kept the denominators and proceeded with the above operation:

Now let's add:

`(11)/(4)+(25)/(8)=(40\colon10*11+40\colon5*11)/(40)=(235)/(40)=(47)/(8)`

Turning back into mixed numbers, we'll write the quotient as the whole number, the remainder as the numerator, and the divisor as the denominator.

so the answer is 5 7/8 miles