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

Question

asked Jul 15, 2023 121k views

1 Answer

Osvaldo · Answer 1 · 2023-07-19T08:50:34+0000

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).

Divide 22 by 9.

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

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

2.

Divide 24 by 9.

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

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

3.

Divide 26 by 9.

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

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

4.