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 digits behind the decimal. Example: 0.079 = 79/1000

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

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