Question

Find the reciprocal of $\frac{3}{5}$. Classify it as proper or improper fraction

Answer 1

Step 1: Find the reciprocal:

To find the reciprocal of a fraction, divide $1$ by the number.

Reciprocal of $\frac{3}{5}$ is $\frac{1}{{\displaystyle \frac{3}{5}}}=\frac{5}{3}$.

Step 2: Classify as proper or improper:

• Fractions whose numerator is lesser than their denominator are called proper fractions.
• Fractions whose numerator is greater than their denominator are called improper fractions.

Since $5>3$, $\frac{5}{3}$ is an improper fraction

Thus, the reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$ and $\frac{5}{3}$ is an improper fraction.