Question

Explain with example that product of any fraction with its reciprocal will always be 1.

Answer 1

Let us take few fractions and calculate the product of each fraction with its reciprocal.

Example 1: Take the fraction $\frac{7}{24}$.
Reciprocal of $\frac{7}{24}$ = $\frac{24}{7}$
So, $\frac{7}{24}\times \frac{24}{7}=\frac{7\times 24}{7\times 24}=1$

Example 2: Take the fraction $\frac{251}{17}$.
Reciprocal of $\frac{251}{17}$ = $\frac{17}{251}$
So, $\frac{251}{17}\times \frac{17}{251}=\frac{17\times 251}{17\times 251}=1$

So, we can see that the product of any fraction with its own reciprocal would always be 1.