What is 5/a+3/(a-1) ?

The solution to 5/a+3/(a-1) is (8a-5)/(a(a-1))

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simplify 5/a+3/(a-1)

simplify

\frac{5}{a} + \frac{3}{a - 1}

\frac{8 a - 5}{a ( a - 1 )}

Solution steps

\frac{5}{a} + \frac{3}{a - 1}

Least Common Multiplier of

a, a - 1 : a (a - 1)

Adjust Fractions based on the LCM

= \frac{5 ( a - 1 )}{a ( a - 1 )} + \frac{3 a}{a ( a - 1 )}

Apply the fraction rule:

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

= \frac{5 ( a - 1 ) + 3 a}{a ( a - 1 )}

Simplify

5 (a - 1) + 3 a : 8 a - 5

= \frac{8 a - 5}{a ( a - 1 )}

4 p^{2} - 9

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