Question

Write an equation for each sentence. Then solve the equation.

Three and two-thirds times a number equals two ninths.

Short answer

The required equation is$3\frac{2}{3}x=\frac{2}{9}$

The required number is $\frac{2}{33}$.

Step-by-step solution

Step 1. Write the given information. 

Given statement: Three and two-thirds times a number equals two ninths.

Step 2. Assumption.

Let the number be x.

Then, the required equation:$3\frac{2}{3}x=\frac{2}{9}$

Step 3. Calculation.

$\begin{array}{l}3\frac{2}{3}x=\frac{2}{9}\\ \frac{11}{3}x=\frac{2}{9}\\ x=\frac{2}{9}\times \frac{3}{11}\\ x=\frac{2}{33}\end{array}$

Thus, the number is $\frac{2}{33}$.