It is a combination of a whole number and a proper fraction. Hence the name given as “MIXED FRACTION”. For instance 2 is a mixed fraction. Here 2 is a whole number and is a proper fraction.
What is a proper fraction? For a proper fraction the numerator is smaller than the denominator. The top part of the fraction, 3 is called as numerator and the bottom part of the fraction, 5 is called as denominator.
Example 1: Add the fractions 2 and 5
The first fraction is 2 . Here the whole number is 2 and the fraction is .
The second fraction is 5 Here the whole number is 5 and the fraction is
For Adding two fractions add the whole number part and then add the fraction part.
Adding whole numbers = 2 + 5 = 7
Adding fractions = +
Here the denominators are same. So just add the numerator part. It becomes =
So the final answer is 7 .
Example 2: Subtract the mixed fractions 8 and 3 .
The first fraction is 8 . Here the whole number is 8 and the fraction is .
The second fraction is 3 . Here the whole number is 3 and the fraction is .
For subtracting two fractions subtract the whole number part and then subtract the fraction part.
Subtracting whole numbers = 8 – 3= 5
Subtracting fraction part = -
Here the denominators are different 9 and 18. So we need to make a common denominator.
can be written as . We can replace with as they are equivalent fractions.
Subtracting fraction part = - =
Hence the answer is 5 .