Common Core Math Vocabulary

Mixed Number - Definition with Examples

What is Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together.  It generally represents a number between any two whole numbers. 

Look at the given image, it represents a fraction that is greater than 1 but less than 2. It is thus, a mixed number. 

mixed number
                                                      

Some other examples of mixed numbers are

example of mixed number

 

Parts of a mixed number

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

parts of mixed number

 

Properties of mixed numbers 

  • It is partly a whole number.  

  • It is partly a fraction.

 

Converting improper fractions to mixed fractions.

Step 1: Divide the numerator by the denominator.

Step 2: Write down the quotient as the whole number.

Step 3: Write down the remainder as the numerator and the divisor as the denominator.

For example, we follow the given steps to convert 7/3 into a mixed number form.

Step 1: Divide 7 by 3

divide the numerator by denominator
 

Step 2: Write quotient, divisor and remainder in form as in step 2 and step 3 above.

write quotient

 

Adding mixed numbers 

One can add mixed numbers by rearranging the whole numbers, adding them separately and adding the leftover fractions individually and in the end combing them all.  

1+ 3 34 

Adding the whole numbers separately and the fractions separately. 

For whole numbers:

1+3 = 4

For fractions:  Find the LCM and then add

image7

In the end, adding both the parts together. 

4+1 14 =5 14 

Real life examples

We can check our understanding of mixed fractions by expressing the parts of a whole as mixed fractions while serving a pizza or a pie at home. Leftover pizzas, half-filled glasses of milk form examples of mixed fractions.

real life example of mixed number
 

  Fun Facts

  • Mixed numbers are also called mixed fractions.

 

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