This document provides instructions for adding mixed numbers with like and unlike denominators. It defines a mixed number as a whole number with an attached fraction. To add mixed numbers with like denominators, add the fractions and then add the whole numbers. To add mixed numbers with unlike denominators, find a common denominator, convert the fractions to that denominator, add the fractions, and then add the whole numbers and combine the result.

1. Adding Mixed Numbers
Basic concepts and methods for
adding mixed numbers.

2. Definition
• Mixed Number = A mixed number is a whole
number with a fraction attached.
• Example = 3 4/5, This is read as three and four
fifths.

3. Addition of mixed numbers with
like denominators.
If James has two and one eighth pizzas and Jane has two
and five eighths pizzas, how many pizza’s do they have
together.
2 1/8
+ 2 5/8
Step 1: Add the Fractions
1/8
+ 5/8
6/8

4. Addition of mixed numbers with
like denominators.
If James has two and one eighth pizzas and Jane has two
and five eighths pizzas, how many pizza’s do they have
together.
Step 2: Add the whole numbers
2
+ 2
4

5. Addition of mixed numbers with
unlike denominators.
If James has two and one eighth pizzas and Jane has two
and three fourths pizzas, how many pizza’s do they have
together.
2 1/8
+ 2 3/4
Step 1:Find a common
denominator. For this problem
we will use 8, since 8 is a
multiple of 4.
Step 2: Add the Fractions
1/8
+ 6/8
1/8
+ 6/8
7/8

6. Addition of mixed numbers with
unlike denominators. If James has two and one eighth pizzas and Jane has two
and three fourths pizzas, how many pizza’s do they have
together.
2 Step 3: Add the whole numbers
+ 2
4

7. Addition of mixed numbers with
unlike denominators.
Step 4: Combine the whole
2 number and the fraction.
+ 7/8
2 7/8

8. Adding Mixed Numbers
Presented By: Michael Lee Ratcliff II