MCQ
Mark $(\checkmark)$ against the correct answer in the following: $1\frac{3}{5}\div\frac{2}{3}=?$
- A$1\frac{9}{10}$
- B$1\frac{1}{15}$
- ✓$2\frac{2}{5}$
- DNone of these.
✓
Answer
Correct option: C.
$2\frac{2}{5}$
$1\frac{3}{5}\div\frac{2}{3}$
$=\frac{8}{5}\div\frac{2}{3}$
$=\frac{8}{5}\times\frac{3}{2}$
$\Big[\because$ Reciprocal of $\frac{2}{3}=\frac{3}{2}\Big]$
$=\Big(\frac{4\times3}{5}\Big)$
$=\frac{12}{5}$
$=2\frac{2}{5}$
$=\frac{8}{5}\div\frac{2}{3}$
$=\frac{8}{5}\times\frac{3}{2}$
$\Big[\because$ Reciprocal of $\frac{2}{3}=\frac{3}{2}\Big]$
$=\Big(\frac{4\times3}{5}\Big)$
$=\frac{12}{5}$
$=2\frac{2}{5}$
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