Question

Match the following.

• A. $\frac{1}{3}$
• B. $3$
• C. $4$

Answer 1

The correct option is
Note that dividing $a$ by $b$ is same as multiplying $a$ by the reciprocal of $b$ (which is $\frac{1}{b}$).
Thus, $\frac{10}{6}÷\frac{10}{2}=\frac{10}{6}\times \frac{2}{10}=\frac{20}{60}=\frac{1}{3}.$

Similarly, $1÷\frac{1}{3}=1\times \frac{3}{1}=3.$

Also, $\frac{10}{3}\times \frac{6}{5}=\frac{60}{15}=4.$