Question

Micah was running along a path in Prospect Park, and made it his goal to run 4/5. the trail without stopping. He ran 3/8 of his goal and then checked his distance.How much more of the trail does Micah need to run to meet his goal

Answer 1

Step 1: we shall identity Micah's goal.

Micah's goal is :

$\frac{4}{5}$

Step 2: We shall find what Micah has run.

$\begin{gathered} \frac{3}{8}\text{ of }\frac{4}{5} \\ \\ \frac{3}{8}\times\frac{4}{5}=\frac{3}{2}\times\frac{1}{5}=\frac{3}{10} \end{gathered}$

Step 3: We shall find what more Micah needs to run to meet his goal.

$\begin{gathered} \frac{4}{5}-\frac{3}{10}\text{ = }\frac{4\times2}{5\times2}-\frac{3}{10} \\ \\ \frac{8}{10}-\frac{3}{10}=\frac{8-3}{10} \\ \\ \frac{5}{10}\text{ = }\frac{1}{2} \end{gathered}$

Thus, the correct answer is 1/2 or 0.5.