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Q64.

Expert-verified

Pre-algebra

Found in: Page 226

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Let a and b represent non zero integers. Find a rational number in the form $\frac{a}{b}$ so that $- 1.7 < \frac{a}{b}$ and $\frac{a}{b} > - \frac{5}{3}$ . Explain how you found the number.

The rational number lying between $- 1.7 a n d - \frac{5}{3}$ is $- \frac{33}{20}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

The numbers are $- 1.7 a n d - \frac{5}{3}$ .

Step 2. Calculation

Let $x a n d y$ be the two rational number such that $x < y$

Then, $\frac{1}{2} (x + y)$ is a rational number lying between $x a n d y$ .

Let $x = - 1.7$ and

$\begin{matrix} y = - \frac{5}{3} \\ = - 1.6 \end{matrix}$

Then, clearly

$\begin{matrix} - 1.7 < - 1.6 \\ x < y \end{matrix}$

Therefore, a rational number lying between $x a n d y$

$\begin{matrix} \frac{1}{2} (x + y) = \frac{1}{2} (- 1.7 + - \frac{5}{3}) \\ = - \frac{33}{20} \end{matrix}$

Thus, the rational number lying between $- 1.7 a n d - \frac{5}{3}$ is $- \frac{33}{20}$ .

Most popular questions for Math Textbooks

Write the decimal as a fraction or mixed number.

$0 . \bar{8}$

Write the fraction or mixed number as a decimal.

$1 \frac{9}{20}$

Solve the inequality. Graph your solution.

$\frac{x}{- 4} \leq - 6$

Find the least common multiple of the numbers.

55, 77

Write the fraction or mixed number as a decimal.

$- 9 \frac{5}{8}$

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