Question

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

The school is miles from Omar's house. (Write your answer as a simplified mixed number or proper fraction.)

Answer 1

`1(3)/(5)` miles

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,

`(3)/(4)\ in\ - \ (3)/(5)\ mi\\ \\2\ in\ - \ x\ mi`

Write a proportion:

`((3)/(4))/(2)=((3)/(5))/(x)`

Cross multiply:

`(3)/(4)x=(3)/(5)\cdot 2\\ \\(3)/(4)x=(6)/(5)\\ \\x=(6)/(5)/ (3)/(4)=(6)/(5)* (4)/(3)=(8)/(5)=1(3)/(5)\ miles`