Fractions and Decimals

1
Fractions and Decimals
Lesson 11

• 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

1. Rewrite the fractions using the LCD.
2. Rename before subtracting, if necessary.
3. Add or subtract fractions.
4. Add or subtract the whole numbers.
5. 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 worlds longest python is
  feet longer.

8
Exit Problems

1. Find the value of .
2. Find the value of .
3. Find the value of .
4. 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?