Question

Which of the following rational numbers is equal to 3 point 1 with bar over 1?

1) 22 over 9
2) 24 over 9
3) 26 over 9
4) 28 over 9

Answer 1

28 over 9 is equal to 3.1 with a bar over the one

Answer 2

Answer: Option 4 is correct.

Explanation:

Since we have given that

`\frac{3.\bar{1}}{1}`

so, Let x = 3.1111......... (1)

Now, multiply by 10, we get that

10x = 31.1111.............(2)

Now, subtract (2)-(1)

`10x-x=31.1111...-3.1111............\\\\9x=28\\\\x=(28)/(9)`

Hence, Option 4 is correct.