The correct option is A 161/6 55/3=5× 3+5/3=20/3 and 75/2=7× 2+5/2=19/2 Thus, 55/3 + 75/2 = (20/3+19/2) nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; ...

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Subtraction of Fractions

55/3 + 75/2 =

Question

$5 \frac{5}{3} + 7 \frac{5}{2}$ = ____

$15 \frac{6}{7}$

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$16 \frac{1}{6}$

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$14 \frac{7}{6}$

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$17 \frac{1}{6}$

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Solution

The correct option is B
$16 \frac{1}{6}$

$5 \frac{5}{3} = \frac{5 \times 3 + 5}{3} = \frac{20}{3}$ and

$7 \frac{5}{2} = \frac{7 \times 2 + 5}{2} = \frac{19}{2}$

Thus, $5 \frac{5}{3} + 7 \frac{5}{2} = (\frac{20}{3} + \frac{19}{2})$

$= \frac{20 \times 2}{3 \times 2} + \frac{19 \times 3}{2 \times 3}$

$= \frac{40 + 57}{6}$

$= \frac{97}{6}$

$= 16 \frac{1}{6}$

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