Question

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

Four fifths is equal to ten-sixteenth of a number.

Short answer

The required number is $\frac{32}{25}$.

Step-by-step solution

Step 1. Write the given information. 

Given statement: Four-fifths is equal to ten sixteenth of a number.

Step 2. Assumption.

Let the number be x.

Then, Required equation:$\frac{4}{5}=\frac{10}{16}x$

Step 3. Calculation.

$\begin{array}{l}\frac{4}{5}=\frac{10}{16}x\\ x=\frac{16\times 4}{50}\\ x=\frac{64}{50}\\ x=\frac{32}{25}\end{array}$

Thus, the number is $\frac{32}{25}$.