1.2(4)

* 4 is recurring

changing 1.2(4) into a fraction in the form a/b

1 answer

1.244444...
= 1 + .24444....
= 1 + (24-2)/90
= 1 + 22/90
= 1 + 11/45
= 56/45

check with a calculator, it is correct

or

let x = 1.244444
time 10
10x = 12.4444...
x = 1.244444.
--------------
subtract:
9x = 11.2
x = 11.2/9
= 112/90
= 56/45