Question

Which of the following rational numbers is equal to 3 point 1 with bar over 1?1) 22 over 92) 24 over 93) 26 over 94) 28 over 9

Answer 1

Given:

`3.1\bar{\text{ 1}}`

Required:

We need to find the equivalent rational number of the given expression.

Step-by-step explanation:

Recall that In a decimal number, a bar over one or more consecutive digits means that the pattern of digits under the bar repeats without end.

The given number can be written as follows.

`3.1\bar{\text{ 1}}=3.1111111111...`

Conisder the individual options.

1).

`(22)/(9)`

Divide 22 by 9.

`(22)/(9)=2.44444...=2.4\bar{\text{ 4}}.`

`2.4\bar{\text{ 4}}\\e3.1\bar{\text{ 1}}`

2.

`(24)/(9)`

Divide 24 by 9.

`(24)/(9)=2.666666..=2.6\bar{\text{ 6}}.`

`2.6\bar{\text{ 6}}\\e3.1\bar{\text{ 1}}`

3.

`(26)/(9)`

Divide 26 by 9.

`(26)/(9)=2.88888..=2.8\text{ }\bar{8}.`

`2.8\text{ }\bar{8}\\e3.1\text{ }\bar{1}`

4.