What is 3.53333... as a fraction?

1 Answer
Oct 27, 2017

53/15

Explanation:

I will use a bar over the digit 3 to indicate that it repeats.

Note that:

3.5bar(3) - 0.2 = 3.bar(3) = 10/3

So:

3.5bar(3) = 10/3 + 0.2 = 10/3 + 1/5 = (50+3)/15 = 53/15