34/9 = 3 and 7/9, 9x3=27, then subtract 34-27, leaving a remainder of 7 as the numerator over the denominator of 9.
Using a calculator, you get 3.7repeating. Converting a repeating decimal to a fraction, the repeated number(s) is the numerator and the denominator is 9 for each repeating number. Here there is only one number repeated, the 7, so it is 7/9. 0.1616161616 would be 16/99.
34/9 = 3 and 7/9, 9x3=27, then subtract 34-27, leaving a remainder of 7 as the numerator over the denominator of 9.
Using a calculator, you get 3.7repeating. Converting a repeating decimal to a fraction, the repeated number(s) is the numerator and the denominator is 9 for each repeating number. Here there is only one number repeated, the 7, so it is 7/9. 0.1616161616 would be 16/99.