How do you change 0.363636363636 into a fraction?

Answer 1

• If that is a terminating decimal

then put the digits after the decimal point over 1 followed by the same number of zeros as digits after the decimal point and simplify:

0.363636363636 has 12 digits, so put over 1 followed by 12 zeros:

0.363636363636 = 363636363636/1000000000000

= 90909090909/250000000000

• If that is a repeating decimal (as in 0.363636...)

then put the repeating digits over the same number of nines and simplify:

0.363636... has 2 repeating digits (36), so put them over 2 nines (99):

0.363636... = 36/99

= 4/11