When working with fractions, you may get a problem that asks you to convert a fraction into a whole number. Whole numbers are defined in math as "non-negative integers," but you can also think of them as any number that you get from taking zero and repeatedly adding 1; zero is also counted as a whole number. So 0, 4, 5, 28 and 749 are all whole numbers. Not all fractions can be converted to whole numbers, but you can tell which fractions can be converted using some simple division.
Parts of a Fraction
A fraction has two parts, a numerator and a denominator. The numerator is the number on top of the fraction, and the denominator is the number on the bottom. In the fraction 1/2, 1 is the numerator, and 2 is the denominator.
A fraction is equal to the value of the numerator divided by the value of the denominator. So if you split 1 into 2 parts, 1/2 is equal to the amount of one of those parts.
Converting a Fraction
Because the value of a fraction is equal to the numerator divided by the denominator, you can convert a fraction into a whole number if the numerator can be evenly divided by the denominator. For example, take 6/3. You can divide 6 by 3, which produces the number 2. So 6/3 = 2. You can do this for fractions using larger numbers as well.
99/11 = 9 144/12 = 12 256/4 = 64
If 0 is the numerator of the fraction, that fraction is equal to zero:
0/1 = 0 0/5 = 0 0/269 = 0
If you cannot evenly divide a numerator by a denominator, you cannot convert a fraction into a whole number. Trying to divide these numbers produces either a remainder or converts the number into a decimal. For instance,
7/3 cannot be converted into a whole number, since 7 is not divisible by 3. 19/2 cannot be converted into a whole, since 19 is not divisible by 2.
96/12 can be converted into a whole number, since 96 divided by 12 is 8.