Q8. - Algebra 1

Question

MULTIPLE CHOICE Solve the equation $\frac{3}{5}a=\frac{1}{4}$ (Lesson  $2.2$)

$\begin{array}{l}A.\frac{3}{20}\\ B.2\\ C.\frac{5}{12}\\ D.-3\end{array}$

Step-by-Step Solution

Answer

(c) is the correct option.

Step 1. Given equation.

$\frac{3}{5}a=\frac{1}{4}$

Step 2. Description of step.

To solve the given equation multiply both sides of the equation by reciprocal of $\frac{1}{4}$ as,

Step 3. Calculation.

$\begin{array}{c}\frac{3}{5}a\times \frac{5}{3}=\frac{1}{4}\times \frac{5}{3}\\ a\times \frac{3}{5}\times \frac{5}{3}=\frac{5}{12}\\ \Rightarrow a\times 1=\frac{5}{12}\\ \Rightarrow a=\frac{5}{12}\end{array}$

Thus, (c) is the correct option.