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Popular >

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

Solution

simplify

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

Solution

1 + \frac{x ^{2}}{x + 1}

Solution steps

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

Join

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

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

Apply the fraction rule:

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

\frac{x}{\frac{x + 1}{x}} = \frac{xx}{x + 1}

= 1 + \frac{xx}{x + 1}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 1 + \frac{x ^{2}}{x + 1}

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Frequently Asked Questions (FAQ)

What is 1+x/(1+1/x) ?
The solution to 1+x/(1+1/x) is 1+(x^2)/(x+1)