Mixed Number – Definition, Example, Facts

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What are 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

Mixed Number – Definition, Example, FactsBegin here

Add 100 to 3-digit numbers
10 and 100 More than the Same Number Game
10 and 100 More than the Same Number Game Play
Make 10 Strategy
Add 1-Digit Numbers Game
Add 1-Digit Numbers Game Play
Add 10 to 3-digit numbers
Add 10 to a 3-Digit Number Game
Add 10 to a 3-Digit Number Game Play
Add 100 to 3-digit numbers
Add 100 to a 3-Digit Number Game
Add 100 to a 3-Digit Number Game Play
Add 2-digit number to 1-digit
Add 2-Digit and 1-Digit Numbers Game
Add 2-Digit and 1-Digit Numbers Game Play
Regroup and add 2-digit numbers
Add 2-Digit Numbers By Regrouping Game
Add 2-Digit Numbers By Regrouping Game Play
Add Three Whole Numbers
Add 3 Numbers Game
Add 3 Numbers Game Play
Add Three Whole Numbers
Add 3 Numbers in Any Order Game
Add 3 Numbers in Any Order Game Play
Introduction to Addition
Add 3 Numbers Using Groups of Objects Game
Add 3 Numbers Using Groups of Objects Game Play
Add Three Whole Numbers
Add 3 Numbers using Model Game
Add 3 Numbers using Model Game Play


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

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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 1⁄2 + 3 3⁄4 

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 1⁄4 =5 1⁄4 

Real Life Examples of Mixed Numbers

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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