(b+1/a)/(a+1/b)

asked by guest
on Nov 22, 2024 at 12:11 am



You asked:

Evaluate the expression: \(\frac{b + \frac{1}{a}}{a + \frac{1}{b}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{b + \frac{1}{a}}{a + \frac{1}{b}} = \frac{b + \frac{1}{a}}{a + \frac{1}{b}} \)

Expanded

\[\frac{b + \frac{1}{a}}{a + \frac{1}{b}} = \frac{b}{a + \frac{1}{b}} + \frac{1}{a^{2} + \frac{a}{b}}\]

Factored

\[\frac{b + \frac{1}{a}}{a + \frac{1}{b}} = \frac{b}{a}\]

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