A decimal number that is greater than one has two parts -- a whole number to the left of the decimal and a decimal fraction to the right of the decimal. The first place value to the right of the decimal has a denominator of 10, which is multiplied by a factor of 10 for every place the number extends to the right of the decimal. The entire decimal number can be changed into a mixed number, which is a number that contains a whole number and a proper fraction. A proper fraction is less than one and contains a numerator that is smaller than the denominator.
Determine how many place values a decimal number extends to the right of the decimal. For example, 4.75 extends two places to the right of the decimal to the hundredths place.
Convert the portion of the decimal number that is to the right of the decimal into a fraction by placing that portion in the numerator over the corresponding place value’s denominator. For example, 4.75 becomes the mixed number 4 and 75/100.
Reduce the fraction portion of the mixed number to its lowest terms, if possible, by dividing both the numerator and denominator by the largest number that divides evenly into both. For example, divide 75 by 25 to get a numerator of 3, and divide 100 by 25 to get a denominator of 4. The result is a mixed number of 4 3/4.