Die Heuning Pot Literature Guide
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Fractions & Decimals
Adding & Subtracting Mixed Numbers: At a Glance

Introduction to Adding & Subtracting Mixed Numbers:

Here we will go over two different methods to add or subtract mixed numbers. Find the way that is most natural for you – both will lead you to the right answer.

Method #1: Change mixed numbers into improper fractions

1. Change all mixed numbers to improper fractions.
2. Express fractions using a common denominator.
3. Add or subtract the fractions.
4. Simplify your answer. Express as a mixed number if necessary.

Method #2: Keep numbers as mixed numbers

Addition

1. Convert the fractional part of each number to a common denominator.
2. Add the whole numbers together.
3. Add the fractions.
4. If the resulting fraction is improper, change it into a mixed number and add that to the whole number.

Subtraction

1. Convert the fractional part of each number to a common denominator.
2. If the second fraction is larger than the first, borrow from the whole number in order to be able to subtract.
3. Subtract the whole numbers.
4. Subtract the fractions.

Adding & Subtracting Mixed Numbers Practice:

Method One Example 1

4 3/4 + 1/6

First, change each mixed number into an improper fraction


Method One Example 2

3 1/2 + 2 3/4

Change each mixed number into an improper fraction.


Method One Example 3

2 3/5 - 1/2 =

Change each mixed number into an improper fraction.


Method One Example 4

8 2/3 - 2 5/6

Change each mixed number into an improper fraction.


Method Two Example 1

4 3/4 + 1/6

Convert each fraction to one with a common denominator of 12.


Method Two Example 2

3 1/2 + 2 3/4

Convert each fraction to one with a common denominator of 4.


Method Two Example 3

2 3/5 - 1/2 =

Convert each fraction to one with a common denominator of 10.


Method Two Example 4

8 2/3 - 2 5/6

Convert each fraction to one with a common denominator of 6.


Exercise 1

Add 2 3/5 + 6 1/8


Exercise 2

4 2/3 + 1 1/2


Exercise 3

4 5/7 - 4 1/2


Exercise 4

Subtract 9 1/8 - 5 3/4


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