Lesson 11 Fractions and Decimals Adding and Subtracting

Lesson 11 Fractions and Decimals Adding and Subtracting by Renaming

Warm-up 1. 2. 3. 4.

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

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.

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

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.

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.

Exit Problems 1. Find the value of . 2. Find the value of . 3. Find the value of . 4. Find the value of .

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