1. Dividing Fractions and Mixed Numerals Developed by: Kira Shank, M.Ed

2. What you will learn…. Definition of reciprocal How to divide fractions How to divide mixed numbers

3. Explanation Reciprocal: The reciprocal of a number is its opposite Examples: The reciprocal of 2/5 would be 5/2. The reciprocal of 1/8 would be 8. The reciprocal of 10 would be 1/10. What is the reciprocal of 3/11?

4. Explanation Steps to follow to divide fractions: 1.Change the second term to its reciprocal 2.Multiply numerators together 3. Multiply denominators together 4. Reduce the fraction, if needed, to simplest terms by finding the GCF

5. Worked Examples Example 1: Multiply the 1 st term by the reciprocal of the 2 nd term

6. Worked Examples Example 2: Reduce by GCF = 2 Final Answer:

7. Worked ExamplesPractice 1. 2.

8. Worked ExamplesSolutions 1. 2. GCF =2 Final Answer:

9. Explanation Steps to follow to divide mixed numbers: 1.Convert mixed numbers to improper fractions 2.Find the reciprocal of the second term 3.Multiply numerators together 2. Multiply denominators together 3.Reduce the fraction, if needed, to simplest terms by finding the GCF

10. Worked Examples Example 1: Convert Mixed numeral to fraction Final Answer:

11. Worked ExamplesPractice 1.

12. Worked ExamplesSolutions 1. Convert Final Answer:

13. Wrapping Up The reciprocal of a number is its opposite. To divide fractions, multiply the first fraction by the second fraction’s reciprocal. Reduce the fraction to lowest terms. To divide mixed numerals, convert the mixed numerals to fractions, then multiply the first fraction by the second fraction’s reciprocal. Finally, if needed, reduce the fraction to lowest terms.