moncadaregla moncadaregla
  • 21-09-2018
  • Mathematics
contestada

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

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Sicista Sicista
  • 01-10-2018

The correct option is:   A)  [tex]\frac{x}{2}+\frac{3}{4}[/tex]

Explanation

The given expression is:   [tex]\frac{2x+3}{4}[/tex]

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

[tex]\frac{2x}{4}+\frac{3}{4}[/tex]

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

[tex]\frac{2x\div 2}{4\div 2}+ \frac{3}{4}\\ \\ = \frac{x}{2}+\frac{3}{4}[/tex]

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