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If 1/a + 1/b = 5, what is ab/(a + b)?
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03 Dec 2021, 06:42
03 Dec 2021, 06:42
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This question is part of the GRE - Skill Builder Project for a Q170
If \(\frac{1}{a} + \frac{1}{b} = 5\), what is \(\frac{ab}{(a + b)}\)?
Show: ::
1/5
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Re: If 1/a + 1/b = 5, what is ab/(a + b)?
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03 Dec 2021, 06:46
03 Dec 2021, 06:46
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Carcass wrote:
This question is part of the GRE - Skill Builder Project for a Q170
If \(\frac{1}{a} + \frac{1}{b} = 5\), what is \(\frac{ab}{(a + b)}\)?
Show: ::
1/5
Given: \(\frac{1}{a} + \frac{1}{b} = 5\)
Rewrite the left side with common denominators: \(\frac{b}{ab} + \frac{a}{ab} = 5\)
Combine the fractions: \(\frac{b+a}{ab} = 5\)
Take the reciprocal of both sides: : \(\frac{ab}{a+b} = \frac{1}{5}\)
Answer: \(\frac{1}{5}\)
gmatclubot
Re: If 1/a + 1/b = 5, what is ab/(a + b)? [#permalink]
03 Dec 2021, 06:46
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