Question

Which sum or difference is equivalent to the following expression? 2x+3 over 4A) x/2 + 3/4B) x/2 - 3/4C) 3x/4 + 3/4D) 8x + 24

Answer 1

The correct option is:   A)  $\frac{x}{2}+\frac{3}{4}$

Explanation

The given expression is:   $\frac{2x+3}{4}$

If we split the above whole expression into two different fractions with a common denominator, then we will get......

$\frac{2x}{4}+\frac{3}{4}$

Now, we can reduce the first fraction by dividing both numerator and denominator by 2. So, the simplified expression will be......

$\frac{2x\div 2}{4\div 2}+ \frac{3}{4}\\ \\ = \frac{x}{2}+\frac{3}{4}$