Question

The crew worked 2 1/5 days. If they built 3 3/4 kilometers of road each day, what is the length of the road

Answer 1

The answer to the question is: The road is 8 1/4

Answer 2

`\large \boxed{\math{8(1)/(4)}\text{ km}}}`

Explanation:

`\begin{array}{lcll}2(1)/(5) * 3(3)/(4) & = & (11)/(5) * (15)/(4) & \text{Converted the mixed numbers to improper fractions}\\\\& = & 11 *(3)/(4)& \text{Cancelled the 5s}\\\\& = & (33)/(4)& \text{Multiplied numerators and denominators}\\\\& = &\mathbf{8(1)/(4)} & \text{Converted the mixed number to a fraction}\\\end{array}\\\text{The length of the road is }\large \boxed{\mathbf{8(1)/(4)}\textbf{ km}}}`