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Complex Numbers

Solve 313+4...

Question

Simplify: $3 \frac{1}{3} + 4 \frac{3}{5}$

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Solution

$3 \frac{1}{3} + 4 \frac{4}{5}$

$= \frac{10}{3} + \frac{24}{5}$
Since, the LCM of $3, 5$ is $3 \times 5 = 15$
Now,
$\frac{10}{3} + \frac{24}{5}$
$= \frac{10}{3} \times \frac{5}{5} + \frac{24}{5} \times \frac{3}{3}$
$= \frac{50}{15} + \frac{72}{15}$
$= \frac{122}{15}$
$= 8 \frac{2}{15}$
$∴ 3 \frac{1}{3} + 4 \frac{4}{5} = 8 \frac{2}{15}$

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