Write the decimal as a fraction with the decimal number over 1
Count the number of digits after the decimal point
Multiply the numerator and denominator by 10 for each digit after the decimal point
Remove the decimal point
Simplify the fraction by dividing the numerator and denominator by their greatest common factor
If the decimal is repeating, set it equal to a variable and solve algebraically
If the decimal is terminating, use the place value of the last digit to choose the denominator
Check that the fraction equals the original decimal
