Now that you have converted a terminating decimal number into a fraction, try converting a repeating decimal number into a fraction. Repeating decimal numbers are more difficult to convert into fractions. The first step is to assign the given decimal number 0.3 to be equal to a variable, X For the decimal number, that means x=0.3 If, x = 0.3 what does 10x equal?
10x would equal 3.0
If x = 0.3, then multiplying both sides of the equation by 10 gives:
10x = 10 * 0.3
This simplifies to:
10x = 3