What is Mixed 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
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
1×22×2+34 = 54=114
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.