What is 1/x+1/(x+1) ?

The solution to 1/x+1/(x+1) is (2x+1)/(x(x+1))

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simplify 1/x+1/(x+1)

simplify

\frac{1}{x} + \frac{1}{x + 1}

\frac{2 x + 1}{x ( x + 1 )}

Solution steps

\frac{1}{x} + \frac{1}{x + 1}

Least Common Multiplier of

x, x + 1 : x (x + 1)

Adjust Fractions based on the LCM

= \frac{x + 1}{x ( x + 1 )} + \frac{x}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{x + 1 + x}{x ( x + 1 )}

Simplify

x + 1 + x : 2 x + 1

= \frac{2 x + 1}{x ( x + 1 )}

1 \div \frac{3}{4}

6 b - 3 b + 8 a - 18 b + a

\frac{4 x - 4}{6 x - 20}

- \frac{1}{6} - 1

(z + 2)^{2}