Chapter 8: Q. 302 (page 967)

Efraim wants to start simplifying the complex fraction $\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a} - \frac{1}{b}}$ by cancelling the variables from the numerator and denominator. Explain what is wrong with Efraim’s plan.

Short Answer

Expert verified

Simplified equation is :

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

Step by step solution

Step 1. Given information

Efraim wants to start simplifying the complex fraction $\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a} - \frac{1}{b}}$

Step 2. Correct procedure

We can't cancel the term before taking the L.C.M of the term .

Hence the correct procedure is :

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

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Efraim wants to start simplifying the complex fraction $\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a} - \frac{1}{b}}$ by cancelling the variables from the numerator and denominator. Explain what is wrong with Efraim’s plan.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Correct procedure

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Efraim wants to start simplifying the complex fraction1a+1b1a-1bby cancelling the variables from the numerator and denominator. Explain what is wrong with Efraim’s plan.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Correct procedure

One App. One Place for Learning.

Most popular questions from this chapter

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Logic and Functions

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Study anywhere. Anytime. Across all devices.

Efraim wants to start simplifying the complex fraction $\frac{\frac{1}{a} + \frac{1}{b}}{\frac{1}{a} - \frac{1}{b}}$ by cancelling the variables from the numerator and denominator. Explain what is wrong with Efraim’s plan.