Question

Omar knows that his friend Chris lives 3/5 mile away. How far is the school from his house?

Answer 1

Answer:

$1\dfrac{3}{5}$ miles

Step-by-step explanation:

The diagram shows,

• distance between Omar's house and Chris's house = 3/4 inch that is actually 3/5 mile;
• distance between Omar's house and school = 2 inches that is actually x miles.

So,

$\dfrac{3}{4}\ in\ - \ \dfrac{3}{5}\ mi\\ \\2\ in\ - \ x\ mi$

Write a proportion:

$\dfrac{\frac{3}{4}}{2}=\dfrac{\frac{3}{5}}{x}$

Cross multiply:

$\dfrac{3}{4}x=\dfrac{3}{5}\cdot 2\\ \\\dfrac{3}{4}x=\dfrac{6}{5}\\ \\x=\dfrac{6}{5}\div \dfrac{3}{4}=\dfrac{6}{5}\times \dfrac{4}{3}=\dfrac{8}{5}=1\dfrac{3}{5}\ miles$