How do you make 0.36 into a fraction simplified?

Answer 1

1. Convert the decimal number .36 to a fraction by multiplying it by an equivalent fraction as follows: .36 * 100/100 = 36/100

2. Simplify the fraction to lowest terms:

a. find a number that will evenly divide into both the numerator & the denominator (in this case, that number is 4)

b. divide the numerator by 4 (i.e. 36/4=9) and divide the denominator by 4 (i.e. 100/4=25).

c. Take the results of the above calculations & write your new fraction as: 9/25.

d. repeat step 2 until you are unable to find a number that will evenly divide into both the numerator & the denominator. In this case, only 1 iteration is needed because 9/25 is the simplest fraction that is equivalent to .36.

3. Check your fraction to ensure it is equal to the original decimal value by dividing 9 by 25 (e.g. 9/25 = .36 <-- this is equal to the original decimal value, so this check proves you did your factoring & simplification properly).