The correct option is B 311/1222/3+11/4=2+2/3+1+1/4 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; =(2+1)+(2/3 + 1/4) nbsp; nbs ...

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Addition of Mixed Numbers without Conversion

2 2/3+1 1/4=-

Question

$2 \frac{2}{3} + 1 \frac{1}{4} =$ ___

2 \frac{11}{12}

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3 \frac{11}{12}

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3 \frac{9}{12}

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3 \frac{8}{12}

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Solution

The correct option is B $3 \frac{11}{12}$
$2 \frac{2}{3} + 1 \frac{1}{4} = 2 + \frac{2}{3} + 1 + \frac{1}{4}$
$= (2 + 1) +$ $(\frac{2}{3} + \frac{1}{4})$

$= 3 +$ $(\frac{2 \times 4}{3 \times 4} + \frac{1 \times 3}{4 \times 3})$

$= 3 + (\frac{8}{12} + \frac{3}{12})$

$= 3 + \frac{11}{12}$

$= 3 \frac{11}{12}$

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