The value of the given expression using multiplication identities will be equal to

$35 \times 64 + 6 \frac{2}{3} \times 12 \times \frac{1}{2}$

$2323 \frac{1}{3}$

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$3232 \frac{1}{3}$

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$2323 \frac{1}{6}$

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$3232 \frac{1}{6}$

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Solution

The correct option is A
$2323 \frac{1}{3}$

The given expression is

$35 \times 64 + 6 \frac{2}{3} \times 12 \times \frac{1}{2}$

$= (30 + 5) (60 + 4) + (6 + \frac{2}{3}) (12 + \frac{1}{2})$

$= (30 \times 60 + 30 \times 4 + 5 \times 60 + 5 \times 4) + (6 \times 12 + 6 \times \frac{1}{2} + \frac{2}{3} \times 12 + \frac{2}{3} \times \frac{1}{2})$

$= 1800 + 120 + 300 + 20 + 72 + 3 + 8 + \frac{1}{3}$

$= 2323 \frac{1}{3}$

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