Question

Express this recurring decimals in simplest fraction.1•1

Answer 1

To convert the recurring decimal 1.1 to a fraction, we can set x = 1.1.

Then, 10x = 11.1.

Next, we subtract the equation x = 1.1 from 10x = 11.1:

10x - x = 11.1 - 1.1
9x = 10
x = 10/9

Therefore, 1.1 as a fraction is 10/9.