What is 4/x+3/(x+5) ?

The solution to 4/x+3/(x+5) is (7x+20)/(x(x+5))

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simplify 4/x+3/(x+5)

simplify

\frac{4}{x} + \frac{3}{x + 5}

\frac{7 x + 20}{x ( x + 5 )}

Solution steps

\frac{4}{x} + \frac{3}{x + 5}

Least Common Multiplier of

x, x + 5 : x (x + 5)

Adjust Fractions based on the LCM

= \frac{4 ( x + 5 )}{x ( x + 5 )} + \frac{3 x}{x ( x + 5 )}

Apply the fraction rule:

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

= \frac{4 ( x + 5 ) + 3 x}{x ( x + 5 )}

Simplify

4 (x + 5) + 3 x : 7 x + 20

= \frac{7 x + 20}{x ( x + 5 )}

5 x^{2} + 13 x + 6 - 4 x^{2} + 11 x + 8

(x^{2} - 5 x - 3) (3 x - 5)

75 + 45

0.55 \cdot \frac{11}{13} + 3

\frac{9 490}{45}