Question

Find the reciprocal of $\frac{9}{2}$. 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 $\frac{9}{2}$ is $\frac{1}{{\displaystyle \frac{9}{2}}}=\frac{2}{9}$.

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 $2<9$, $\frac{2}{9}$ is a proper fraction.

Thus, the reciprocal of $\frac{9}{2}$ is $\frac{2}{9}$ and $\frac{2}{9}$ is a proper fraction.