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Chapter 5: Problem 4

State the reciprocal of (a) 9 , (b) \(\frac{4}{3}\), (c) \(\frac{4 x}{3 y}\).

Short Answer

Expert verified
Question: Find the reciprocals of the following numbers and expressions: (a) 9 (b) \(\frac{4}{3}\) (c) \(\frac{4x}{3y}\) Answer: (a) The reciprocal of 9 is \(\frac{1}{9}\). (b) The reciprocal of \(\frac{4}{3}\) is \(\frac{3}{4}\). (c) The reciprocal of \(\frac{4x}{3y}\) is \(\frac{3y}{4x}\).

Step by step solution

01

(a) Reciprocal of 9

To find the reciprocal of 9, think of 9 as a fraction: \(\frac{9}{1}\). Now, switch the numerator and the denominator: \(\frac{1}{9}\). The reciprocal of 9 is \(\frac{1}{9}\).
02

(b) Reciprocal of \(\frac{4}{3}\)

To find the reciprocal of \(\frac{4}{3}\), switch the numerator and the denominator: \(\frac{3}{4}\). The reciprocal of \(\frac{4}{3}\) is \(\frac{3}{4}\).
03

(c) Reciprocal of \(\frac{4x}{3y}\)

To find the reciprocal of \(\frac{4x}{3y}\), switch the numerator and the denominator: \(\frac{3y}{4x}\). The reciprocal of \(\frac{4x}{3y}\) is \(\frac{3y}{4x}\).

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Remove the brackets from the given expression: \((-2)(a+b)\)

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