Mixed Numbers

Definition:

A “Mixed Number” is combination of a whole number and a fraction.

Example: If we have two whole cakes and one half cake, then we describe this as 2 and 1/2 cakes or 2 1/2 cakes.

2 1/2 (Two and a half) is a mixed number.
It is also called Mixed fraction.

Writing mixed numbers as fraction

Mixed numbers can also expressed as a fraction. In above example each whole cake contains two half cakes that means four half cakes and one half cake. so total is

(1/2 + 1/2 + 1/2+ 1/2) + 1/2 = 5/2 cakes. 

One more method to write the mixed numbers as fraction.

Step 1: Multiply the whole number by the denominator (bottom number). 

Step2: Add the result to the numerator (top number).

Example: 5 3/2 

Step1: Multiply the whole number by the denominator (bottom number).

The whole number is 5 and the denominator is 2, 

5 x 2 = 10 

Step2: Add the result to the numerator (top number).

The numerator is 3, 

10 + 3 = 13 

Therefore, the numerator is 13, and the denominator is 2, and fraction is 13/2.  

Example: 4 5/6

Step 1: Multiply the whole number by the denominator (bottom number). 

The whole number is 4 and the denominator is 6, 

6 x 4 = 24 

Step2: Add the result to the numerator (top number).

The numerator is 5, 

24 + 5 = 29 

Therefore, the numerator is 29, and the denominator is 6, and fraction is 29/6.  

Example: 6 4/3 

Step1: Multiply the whole number by the denominator (bottom number). 

The whole number is 6 and the denominator is 3, 

6 x 3 = 18 

Step2: Add the result to the numerator (top number).

The numerator is 4, 

18 + 4 = 22 

Therefore, the numerator is 22, and the denominator is 3, and fraction is 22/3. 

Example:  8 3/5

Step1: Multiply the whole number by the denominator (bottom number). 

The whole number is 8 and the denominator is 5, 

8 x 5 = 40 

Step2: Add the result to the numerator (top number).

The numerator is 3, 

40 + 3 = 43 

Therefore, the numerator is 43, and the denominator is 5, and fraction is 43/5.