What is 7/(a-4)+2/a ?

The solution to 7/(a-4)+2/a is (9a-8)/(a(a-4))

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simplify 7/(a-4)+2/a

simplify

\frac{7}{a - 4} + \frac{2}{a}

\frac{9 a - 8}{a ( a - 4 )}

Solution steps

\frac{7}{a - 4} + \frac{2}{a}

Least Common Multiplier of

a - 4, a : a (a - 4)

Adjust Fractions based on the LCM

= \frac{7 a}{a ( a - 4 )} + \frac{2 ( a - 4 )}{a ( a - 4 )}

Apply the fraction rule:

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

= \frac{7 a + 2 ( a - 4 )}{a ( a - 4 )}

Simplify

7 a + 2 (a - 4) : 9 a - 8

= \frac{9 a - 8}{a ( a - 4 )}

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