What is 0.612 ( 12 repeating) as a fraction

the idea behind the recurring decimal as a fraction, is to first off, multiply or divide by some power of 10, in order that we leave the recurring decimal to the right of the decimal point.

then we multiply by a power of 10, in order to move the repeating digits to the left of the decimal point, anyhow, let's proceed.

notice, we first divided by 10, to move the decimal point over to the right by 1 slot, then we multiplied by 100, to move it two digits over the decimal point, namely the repeating "12", thus we use 100.

take it another