Mixed Numbers and Improper Fractions

        Today, we will be talking about mixed numbers and improper fractions, but before that, lets talk about what a fraction is.

        A fraction describes a part of a whole. The number on the bottom of the fraction is called a denominator, and it denotes how many equal parts the whole is divided into. The number on the top of the fraction is called a numerator, and it denotes how many parts we are taking. For example, the fraction 3/4 denotes 3 of 4 equal parts. 3 is the numerator and 4 is the denominator.

        Now, that to know what a fraction is, we will be talking about mixed numbers.
        
        A mixed number is composed of a whole number and a fraction. 6 2/3, 18 3/4 and 2 2/5 are all examples of mixed numbers.

Converting Improper Fractions into Mixed Numbers:

        Divide the numerator by the denominator. The resultant becomes the whole number, and the remainder becomes the numerator of the new fraction. The denominator of the new fraction is the same as the old denominator. If there is no remainder, then there is no fraction, the result is simply a whole number. 

For example, we can convert 22/5 into a mixed number.
22/5= 4
Remainder= 2
Mixed Number: 4 2/5

Converting Mixed Numbers into Improper Fractions:

        To convert a mixed number into an improper fraction, multiply the whole number by the denominator and add it to the numerator. This becomes the numerator of the improper fraction; the denominator of the new fraction is the same as the original denominator.

For example, we can convert 7 8/3 into an improper fraction.
7 x 3= 21
21+8= 29
Improper Fraction: 29/3