Question

1. if $\frac{3}{4}$ gallon of paint covers $\frac{1}{3}$ of the wall, then how much paint is needed for the entire wall?

Explanation:

Step1: Set up proportion

Let $x$ be the amount of paint needed for the whole wall. We know that $\frac{3}{4}$ gallon covers $\frac{1}{3}$ of the wall. The proportion is $\frac{\frac{3}{4}}{\frac{1}{3}}=\frac{x}{1}$.

Step2: Solve the proportion

Using the rule of cross - multiplication, we have $x=\frac{3}{4}\div\frac{1}{3}$. Since dividing by a fraction is the same as multiplying by its reciprocal, $x = \frac{3}{4}\times3=\frac{9}{4}= 2\frac{1}{4}$ gallons.

Answer:

$2\frac{1}{4}$ gallons