1. Fractions and Decimals
Lesson 11
Fractions and Decimals
Adding and Subtracting by Renaming

2. Warm-up

3. Adding and Subtracting by Renaming
Target:
Calculate sums and differences of
mixed numbers by renaming.

4. Adding and Subtracting by Renaming
Rewrite the fractions using the LCD.
Rename before subtracting, if necessary.
Add or subtract fractions.
Add or subtract the whole numbers.
Rename after adding or subtracting, if necessary.

5. Example 1 Find the value of . Rewrite the fractions using the LCD, 10.
Add fractions and whole numbers.
Rename the improper fraction.

6. Example 2
Mahavir biked miles on Saturday. He biked miles on Sunday. How much further did he bike on
Sunday?
Write the problem.
Rewrite fractions
with the LCD, 12.
Rename and subtract.
Mahavir rode miles further on Sunday.

7. Example 3 The longest python on record was 33 feet long. The
average male python grows to be feet long. What is
the difference between the average male python and the
world's longest python?
Write the problem.
Rename
Subtract.
The world’s longest python is feet longer.

8. Exit Problems
Find the value of
Find the value of

9. Communication Prompt
Which is easier for you when adding or subtracting mixed numbers: renaming or changing mixed numbers to improper fractions?