Converting Decimals to Fractions

TERMINATING DECIMALS:
Put the decimal’s digits in the numerator.
In the denominator, the number of zeros equals the number of decimal digits.
Example: (a) 0.079 = 79/1000 (b) 2.13 = 213/100

SIMPLE REPEATING DECIMALS:
Put the decimal’s repeating digits in the numerator.
In the denominator, the number of nines equals the number of repeating decimal digits.
Example: (a) 0.7979797979… = 79/99

COMPLEX REPEATING DECIMALS:
Subtract the non-repeating digits from the combination of non-repeating digits and one set of the repeating digits. Put this number in the numerator.
In the denominator, the number of nines equals the number of repeating decimal digits and the number of zeros equals the number of non-repeating decimal digits.
Example: (a) 0.12379797979… = (12379 - 123) / 99000 = 12256/99000 (which can then be simplified) (b) 12.3797979797... = (12379-123)/990 = 12256/990 (which can then be simplified)