Question

Question 6

Express this decimal as a fraction.
?
1.21 =
^ it has a line over the 21

Answer 1

120/99 is the answer.

Explanation:

It has a line over it means that after the point there are infinite numbers of 21.

•Multiply 1.212121... with 100

we get 121.212121...

•Subtract it with the original one

121.212121.. - 1.212121... = 120.000.. = 120

Write it as an equation :-

Let the fraction be x.

(100×x) - x = 120

100x-x = 120

or, 99x = 120

so, x = 120/99