Question

Jose drew a line on the sidewalk outside his house with chalk that was 1 3/4 of a yard long for a game that he is playing with his friends. He wants to divide the line into sections that are each 2/5 of a yard long. How many sections will the line be divided into?

Answer 1

Answer:

Jose drew a line on the sidewalk. The line will be divide into approximately 4 sections.

Solution:

It is given that the line that Jose drew on the sidewalk outside his house is $1\frac{3}{4}$ yard long. Now he want to divide the line into sections that are $\frac{2}{5}$ of a yard long. We have to find out how many sections the line will be divided.  

Let the number of sections be x

Thus using the below equation we can find out the number of section

$\begin{array}{l}{\frac{2}{5} \times x=1_{4}^{3}} \\\\ {\Rightarrow \frac{2}{5} \times x=\frac{7}{4}} \\\\ {\Rightarrow x=\frac{7}{4} \times \frac{5}{2}} \\\\ {\Rightarrow x=\frac{35}{8}} \\\\ {\Rightarrow x=4.375} \\\\ {x \approx 4 \text { sections }}\end{array}$

Thus the line will be divide into approximately 4 sections.