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Q56.

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.
$2 . \bar{707}$

The fraction is $\frac{2705}{999}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

Consider, the decimal $2 . \bar{707}$ provided in question.

Step 2. Calculation

Consider $2 \cdot \bar{707} = 2 + (0 \cdot \bar{707})$

But $0 \cdot \bar{707} = \frac{707}{999}$ .

Therefore,

$\begin{matrix} 2 \cdot \bar{707} = 2 + (\frac{707}{999}) \\ = \frac{(2 \times 999) + (707)}{999} \\ = \frac{2705}{999} \end{matrix}$

Thus, the fraction number that can be formed is $\frac{2705}{999}$ .

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