Question

0.194 if 94 is repeating how do I write it as a fraction?

Answer 1

If you divide a number by 9 then that number is repeated (1/9 = 0.111111... or 2/9 = 0.22222....)

So if we want 94 to repeat in the decimal 0.194 then we can have 94/99. But the thing is that we don't have 94 being repeated starting from the tenths place so we can possibly do 94/990.

Now we do have a tenths with a zero but we need a one to replace that zero. To do that we have to add 1/10 + 94/990 = 99/990 + 94/990 = 193/990.