The correct option is B 35/611/3=1× 3+1/3=4/3 and 21/2=2× 2+1/2=5/2 Thus, 11/3 + 21/2 = 4/3+5/2 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp ...

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Addition of Mixed Numbers with Conversion

Add : 1 1/3+2...

Question

Add : $1 \frac{1}{3}$ + $2 \frac{1}{2}$ = ____

2 \frac{5}{6}

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3 \frac{5}{6}

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3 \frac{2}{6}

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3 \frac{5}{3}

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Solution

The correct option is B $3 \frac{5}{6}$
$1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3}$ and

$2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}$

Thus, $1 \frac{1}{3} + 2 \frac{1}{2}$ $=$ $\frac{4}{3} + \frac{5}{2}$

$=$ $\frac{4 \times 2}{3 \times 2} + \frac{5 \times 3}{2 \times 3}$

$=$ $\frac{8 + 15}{6}$

$= \frac{23}{6}$

$= 3 \frac{5}{6}$

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