Question

The rational form of a number 1.41 is ______.

Options

• `140/99`

• `154/99`

• `41/99`

• `55/99`

Answer 1

The rational form of a number 1.41 is `140/99`.

Explanation:

Let x = 1.414141    ...(i)

100x = 141.414141   ...(ii)

Subtract Eq. (i) from Eq. (ii), we get

99x = 140

`"x"=140/99`

`therefore 1.overline(41)=140/99`