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Q52.

Expert-verified

Pre-algebra

Found in: Page 225

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

Write the decimal as a fraction or mixed number.
$- 9 . \bar{6}$

The fraction is $- \frac{29}{3}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

Consider, the decimal $- 9 . \bar{6}$ provided in question.

Step 2. Calculation

Consider $- 9 \cdot \bar{6} = - 9 - 0 \cdot \bar{6}$

But $- 0 \cdot \bar{6} = \frac{- 6}{9}$

Therefore,

$\begin{matrix} - 9 \cdot \bar{6} = - 9 + (\frac{- 6}{9}) \\ = \frac{(- 9 \times 9) - 6}{9} \\ = \frac{- 87}{9} \\ = \frac{- 29}{3} \end{matrix}$

Thus, the fraction number that can be formed is $\frac{- 29}{3}$ .

Most popular questions for Math Textbooks

Write the decimal as a fraction or mixed number.

-0.85

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Write the decimal as a fraction or mixed number.

$2 . \bar{6}$

Find the sum or difference

$\frac{3}{8} + \frac{2}{8}$

Use the LCD to determine which fraction is greater.

$\frac{7}{8}, \frac{5}{6}$

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