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:

$\begin{gathered} 2\frac{3}{4}=\frac{4\times2+3}{4}=\frac{11}{4} \\ 3\frac{1}{8}=\frac{8\times3+1}{8}=\frac{25}{8} \end{gathered}$

We kept the denominators and proceeded with the above operation:

Now let's add:

$\frac{11}{4}+\frac{25}{8}=\frac{40\colon10\times11+40\colon5\times11}{40}=\frac{235}{40}=\frac{47}{8}$

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