Question

Which of the following rational numbers is equal to 4 point 5 with bar over 5?

40 over 9, 41 over 9, 42 over 9, 43 over 9 40 over 9 41 over 9 42 over 9 43 over 9

Answer 1

41/9 = 4.5 with a bar over 5 because it is repeating

Answer 2

Answer:
`(41)/(9)`

Explanation:

Let
`x = 4.\overline{5}`

`\Rightarrow x=4.5555....----------------(1)`

Now, Multiply 10 to both the sides , we get

`10x=45.5555...-------------(2)`

Subtract (1) from (2) , we get

`10x-x=45.5555...-4.5555.....`

`\Rightarrow\ 9x=41`

Divide 9 on both the sides , we get

`x=(41)/(9)`



Hence, the required rational number is
`(41)/(9)`