Chapter 5: Q56. (page 225)

Write the decimal as a fraction or mixed number.
$2 . \bar{707}$

Short Answer

Expert verified

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

Step by step solution

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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Write the decimal as a fraction or mixed number.
$2 . \bar{707}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Write the decimal as a fraction or mixed number.2.707¯

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Discrete Mathematics

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

Write the decimal as a fraction or mixed number.
$2 . \bar{707}$