Write 0.111... as a fraction

To write 0.111 as a fraction you have to write 0.111 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.111 = 0.111/1 = 1.11/10 = 11.1/100 = 111/1000

And finally we have:

0.111 as a fraction equals 111/1000

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5