1. Dividing Fractions Part 1
Digital ACE lesson 3.9

2. Vocabulary Review
Reciprocals or Multiplicative Inverse - two numbers whose product equals 1. (a/b x b/a =1)
3/4 x 4/3 = 12/12 = 1
Thus the fraction 3/4 and 4/3 are reciprocals.
*** Just flip the fraction.

4. The steps for multiplying and dividing fractions are similar.
Step 1: Rewrite first fraction
Step 2: Change symbol to multiplication.
Step 3: Flip the second fraction.
Step 4: Multiply across.
Step 5: Change to mixed/whole number.
Step 6: Reduce if needed. 3 1 4 2 3 2 6 2 1 x = 1 = = 1 2 4 1 4 4 1 4 6 4 2

5. 3 4 4 5 Step 1: Rewrite first fraction
Step 2: Change symbol to multiplication.
Step 3: Flip the second fraction.
Step 4: Multiply across.
Step 5: Change to mixed/whole number. ( If Needed)
Step 6: Reduce if needed. 3 4 4 5

6. 3 8 5 8 Place over 1 = 1 Step 1: Rewrite first fraction
Step 2: Change symbol to multiplication.
Step 3: Flip the second fraction.
Step 4: Multiply across.
Step 5: Change to mixed/whole number.
Step 6: Reduce if needed. 3 8 5 8
Place over 1 =
* What do we do with whole numbers? 1

7. Step 1: Change Mixed/Whole Numbers to improper fractions.
Step 2: Rewrite first fraction as it is.
Step 3: Change symbol from Division to multiplication.
Step 4: Flip the second fraction.
Step 5: Multiply across.
Step 6: Change to mixed/whole number
by division.
Step 7: Reduce if needed.
Multiply whole number times denominator and add the numerator. 1 3 12 2 2 4 25 11 2 4 25 4
100 x = 2 11 22 4
22 100 88 4 12 6 = 4 22 11 12

8. Step 1: Change Mixed/Whole Numbers to improper fractions.
Step 2: Rewrite first fraction as it is.
Step 3: Change symbol from Division to multiplication.
Step 4: Flip the second fraction.
Step 5: Multiply across.
Step 6: Change to mixed/whole number by division.
Step 7: Reduce if needed.
Multiply whole number times denominator and add the numerator.

9. Step 1: Change Mixed/Whole Numbers to improper fractions.
Step 2: Rewrite first fraction as it is.
Step 3: Change symbol from Division to multiplication.
Step 4: Flip the second fraction.
Step 5: Multiply across.
Step 6: Change to mixed/whole number by division.
Step 7: Reduce if needed.
Multiply whole number times denominator and add the numerator.