Question

As you saved our solar system, its time to go back home. To open the Gate of your rocket, you need to solve a puzzle.
$\text{Divide:}2÷2\frac{4}{3}$

• A. $\frac{3}{5}$
• B. $\frac{5}{3}$
• C. $\frac{3}{4}$

Answer 1

The correct option is A $\frac{3}{5}$

$2\frac{4}{3}$ is a mixed fraction.
For simplification, convert mixed fraction into improper fraction.

$2\frac{4}{3}=\frac{2\times 3+4}{3}=\frac{10}{3}$
So, now we have do divide: $2÷\frac{10}{3}$
We can write 2 as $\frac{2}{1}$
$2÷\frac{10}{3}=\frac{2}{1}÷\frac{10}{3}$

Take a reciprocal of the second fraction and multiply with the first fraction as follows

$\frac{2}{1}÷\frac{10}{3}=\frac{2}{1}\times \frac{3}{10}$

$=\frac{2\times 3}{1\times 10}$

$=\frac{2\times 3}{2\times 5}$

$=\frac{3}{5}$

Hence, $2÷2\frac{4}{3}=\frac{3}{5}$