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

$\frac{20}{3}$

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$\frac{17}{3}$

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$\frac{22}{3}$

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Solution

The correct option is A
$\frac{20}{3}$

We know that multiplying two numbers separately by 2 and then adding is same as multiplying the sum of two numbers by 2.

i.e., If $x$ and $y$ are any two numbers, then $2 x + 2 y = 2 (x + y)$

So, $(2 \times \frac{1}{3}) + (2 \times 3) = 2 \times (\frac{1}{3} + 3) = 2 \times \frac{10}{3} = \frac{20}{3}$

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