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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Add similar elements:

x + x = 2 x

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

+ 21 6^{- \frac{4}{3}}

- 3 \frac{z ^{7}}{125 x ^{6}}

\frac{x ^{2} - 9 x + 8}{x ^{2} - 12 x + 32}

49 \times 4

\frac{96}{24}