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Maths-

General

Easy

Question

If $blank x greater than 0$ , which of the following is equivalent to $fraction numerator 1 over denominator x end fraction plus fraction numerator 1 over denominator 2 x end fraction$ ?

$\frac{1}{x}$
$\frac{1}{2 x}$
$\frac{3}{2 x}$
$\frac{2}{3 x}$

The correct answer is: $fraction numerator 3 over denominator 2 x end fraction$

HINT: Make the denominators common and solve.
Complete solution step by step:
Make denominators common by multiplying 2 on both numerator and denominator of $fraction numerator 1 over denominator x end fraction$ in $fraction numerator 1 over denominator x end fraction plus blank fraction numerator 1 over denominator 2 x end fraction$
We get, $fraction numerator 2 over denominator 2 x end fraction plus blank fraction numerator 1 over denominator 2 x end fraction$ $equals fraction numerator 3 over denominator 2 x end fraction$
Thus, we get the required solution.
Option C is the answer.
Note: We can solve this first by finding the least common multiple of the denominator and that we get it to be 2x. While finding it, we multiply both numerator and denominator with 2. Thus, we get $fraction numerator 2 over denominator 2 x end fraction blank$ + $blank fraction numerator 1 over denominator 2 x end fraction blank$ = $fraction numerator 3 over denominator 2 x end fraction$

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