Question

$(3\times \frac{1}{5})+(3\times 5)$ = __________

• A. $3\times \frac{26}{5}$
• B. $3\times \frac{36}{5}$
• C. $7\times \frac{26}{5}$
• D. $3\times \frac{26}{9}$

Answer 1

The correct option is A

$3\times \frac{26}{5}$

We know that, multiplying two numbers separately by 3 and then adding is same as multiplying the sum of two numbers by 3.

i.e., If $x$ and $y$ are any two numbers, then $3x+3y=3(x+y)$

So, $(3\times \frac{1}{5})+(3\times 5)$
$=3\times (\frac{1}{5}+5)$
$=3\times \frac{26}{5}$