Chapter 13.2, Problem 32STP

To determine

To find: the value that divides $\frac{1}{3}$ to gives the ratio of $\frac{12}{9}$ .

Answer to Problem 32STP

The correct option is $A$ .

Explanation of Solution

Given:

The ratio is $\frac{12}{9}$ .

Concept used:

Ratio and division are same and the unknown value can be found using cross multiplication.

Calculation:

Use the ratio to write and solve the proportion.

  $\begin{array}{l}\frac{12}{9}=\frac{\frac{1}{3}}{x}.\\ \Rightarrow 12x=3.\\ x=\frac{1}{4}.\end{array}$

Hence, the correct option is $A$ .