Problem 1 Determine the reciprocal of each... [FREE SOLUTION]

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Mathematics in Action, Prealgebra Problem Solving

Addison Wesley

$Math Studyset 91影视 Explanations$ Math

3 Edition

Chapter 4: Problem 1

Determine the reciprocal of each of the given numbers. NUMBER $$\begin{array}{l} \frac{4}{5} \\\ -\frac{8}{3} \\\ -7 \end{array}$$

Short Answer

Expert verified

Answer: The reciprocals of the given numbers are $\frac{5}{4}$, $-\frac{3}{8}$, and $-\frac{1}{7}$.

Step by step solution

Find the reciprocal of $\frac{4}{5}$

To find the reciprocal of $\frac{4}{5}$, divide 1 by the given number. The reciprocal is: $$1 \div \frac{4}{5} = 1 \cdot \frac{5}{4} =\frac{5}{4}$$ So, the reciprocal of $\frac{4}{5}$ is $\frac{5}{4}$.

Find the reciprocal of $-\frac{8}{3}$

To find the reciprocal of $-\frac{8}{3}$, divide 1 by the given number. The reciprocal is: $$1 \div -\frac{8}{3} = 1 \cdot -\frac{3}{8} =-\frac{3}{8}$$ So, the reciprocal of $-\frac{8}{3}$ is $-\frac{3}{8}$.

Find the reciprocal of $-7$

To find the reciprocal of $-7$, divide 1 by the given number. The reciprocal is: $$1 \div -7 = -\frac{1}{7}$$ So, the reciprocal of $-7$ is $-\frac{1}{7}$. To summarize, the reciprocals of the given numbers are: $$\frac{4}{5} \to \frac{5}{4}, \qquad -\frac{8}{3} \to -\frac{3}{8}, \qquad -7 \to -\frac{1}{7}.$$

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91影视

Determine the reciprocal of each of the given numbers. NUMBER $$\begin{array}{l} \frac{4}{5} \\\ -\frac{8}{3} \\\ -7 \end{array}$$

Short Answer

Step by step solution

Find the reciprocal of \(\frac{4}{5}\)

Find the reciprocal of \(-\frac{8}{3}\)

Find the reciprocal of \(-7\)

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