Question

Find the reciprocal of $\frac{12}{7}$. Classify the reciprocal as a proper fraction, improper fraction or whole number.

Answer 1

Step 1: Find the reciprocal:

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

Reciprocal of $\frac{12}{7}$ is $\frac{1}{{\displaystyle \frac{12}{7}}}=\frac{7}{12}$.

Step 2: Classify as proper or improper:

1. Fractions whose numerator is lesser than their denominator are called proper fractions.
2. Fractions whose numerator is greater than their denominator are called improper fractions.
3. Fractions that are greater than or equal to $0$ and whose denominator is $1$ are called a whole number.

Since $7<12$, $\frac{7}{12}$ is a proper fraction.

Thus, the reciprocal of $\frac{12}{7}$ is $\frac{7}{12}$ and $\frac{7}{12}$ is a proper fraction.