MCQ
$2\frac{2}{3}\div5$ is equal to:
- ✓$\frac{8}{15}$
- B$\frac{40}{3}$
- C$\frac{40}{5}$
- D$\frac{8}{3}$
✓
Answer
Correct option: A.
$\frac{8}{15}$
Given, $2\frac{2}{3}+5$
$=\frac{(2\times3)+2}{3}+5$
$=\frac{6+2}{3}+5$
$=\frac{8}{3}\times\frac{1}{5}$
$\big[\because $ reciprocal of $5=\frac{1}{5}\big]$
$=\frac{8}{15}$
Hence, $2\frac{2}{3}+5$ is equal to $\frac{8}{15}$
$=\frac{(2\times3)+2}{3}+5$
$=\frac{6+2}{3}+5$
$=\frac{8}{3}\times\frac{1}{5}$
$\big[\because $ reciprocal of $5=\frac{1}{5}\big]$
$=\frac{8}{15}$
Hence, $2\frac{2}{3}+5$ is equal to $\frac{8}{15}$
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