Finding The Reciprocal Of 2/3 – Step By Step Solution
What is the reciprocal of $\frac{2}{3}$? The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$. $$ \text{The reciprocal of } \frac{2}{3} \text{ is } \frac{3}{2} $$ What Does Reciprocal Mean? The word reciprocal in mathematics means the number which, when multiplied by the original number, results in 1. So for this example: $$ \frac{2}{3} \times x = 1 $$ To solve for $x$, isolate it by dividing both sides by $\frac{2}{3}$: $$ \begin{align} \frac{2}{3} \times x &= 1 \ \frac{2}{3} \div \frac{2}{3} \times x &= 1 \div \frac{2}{3} \ x &= 1 \times \frac{3}{2} \ x &= \frac{3}{2} \end{align} $$ ...