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

Mathematics

2 answers:

nordsb [41]3 years ago

6 0

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

Dovator [93]3 years ago

5 0

Answer:

$\large \boxed{\math{8\frac{1}{4}}\text{ km}}}$

Step-by-step explanation:

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

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