Question

Evaluate $\frac{11}{26}÷\frac{2}{39}$

Answer 1

Here $\frac{11}{26}$is the dividend and $\frac{2}{39}$is the divisor.

To solve $\frac{11}{26}÷\frac{2}{39}$, we multiply the dividend by the reciprocal of the divisor.

$\therefore \frac{11}{26}÷\frac{2}{39}=\frac{11}{26}\times \frac{39}{2}$ (as the reciprocal of the divisor $\frac{2}{39}$is $\frac{39}{2}$)

$=\frac{11\times 39}{26\times 2}$

We know that $13$ is the common factor of $26$ and $39$.

$\therefore \frac{11\times {\sout{39}}^3}{{\sout{26}}^2\times 2}=\frac{33}{4}$

Therefore $\frac{11}{26}÷\frac{2}{39}=\frac{33}{4}$.