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ra1l [238]
3 years ago
14

What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}

First of all we have to take LCM in both numerator and denominator

So,

=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

  • brainly.com/question/5424148
  • brainly.com/question/5461619

#LearnwithBrainly

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