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Q22.

Expert-verified
Found in: Page 224

### Pre-algebra

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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# Show that the number is rational by writing it as a quotient of two integer. $\mathbf{5}\frac{\mathbf{7}}{\mathbf{18}}$

$\frac{\mathbf{97}}{\mathbf{18}}$ is the rational form of $\mathbf{5}\frac{\mathbf{7}}{\mathbf{18}}$ as a quotient of two integers.

See the step by step solution

## Step 1. Given information

Consider, the number $5\frac{7}{18}$ provided in question

## Step 2. Calculation

To convert number $5\frac{7}{18}$ as rational, it is needed to simplify the mixed number

Therefore, the obtained fraction is

$\begin{array}{l}⇒5\frac{7}{18}=\frac{\left(18×5\right)+7}{18}\\ ⇒5\frac{7}{18}=\frac{97}{18}\end{array}$

Hence,

$\frac{97}{18}$ is the rational form of $5\frac{7}{18}$as a quotient of two integers.

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