Write the decimal as a fraction with the decimal number over 1
Move the decimal point to the right until the number becomes a whole number
Count how many places you moved the decimal point
Multiply the denominator by 10 for each place moved
Simplify the fraction by dividing the numerator and denominator by their greatest common factor
For repeating decimals, set the decimal equal to a variable and solve algebraically
For terminating decimals, use place value to determine the denominator
Check the fraction by converting it back to a decimal