What is 5/(2x+1)+8/(4x+2) ?

The solution to 5/(2x+1)+8/(4x+2) is 9/(2x+1)

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simplify 5/(2x+1)+8/(4x+2)

simplify

\frac{5}{2 x + 1} + \frac{8}{4 x + 2}

\frac{9}{2 x + 1}

Solution steps

\frac{5}{2 x + 1} + \frac{8}{4 x + 2}

Cancel

\frac{8}{4 x + 2} : \frac{4}{2 x + 1}

= \frac{5}{2 x + 1} + \frac{4}{2 x + 1}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{5 + 4}{2 x + 1}

Add the numbers:

5 + 4 = 9

= \frac{9}{2 x + 1}

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