## 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.

Some other examples of mixed numbers are

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.

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

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

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

In the end, adding both the parts together.

4+1 ^{1}⁄_{4} =5 ^{1}⁄_{4}

## 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.

Fun Facts – Mixed numbers are also called mixed fractions. |