1. Dividing Fractions Get ready to become an expert at dividing fractions & mixed numbers!

2. Division without division? When you divide fractions, you don’t actually have to divide! So if division isn’t your thing, that’s OK!

3. So if I don’t divide, what do I do? When you divide by a fraction, you can actually multiply. Why? First let’s look at a problem using division.

4. 3434 1 12 ÷ Click through to see how you solve this type of problem. Dividing by a fraction using division 1. Divide straight across. 3 ÷ 1 4 ÷ 12 2. You may be left with a fraction in the numerator and/or denominator. 3. What happens then? 3 1/3

5. Click through to see how you solve this type of problem. Dividing by a fraction using division 4. We need to get rid of the fraction in the denominator. 3 x 3 1/3 x 3 5. Since 1 is the identity, we will multiply both the numerator and denominator by 3. 3. Simplify if necessary. 3 1/3 9191 = 9

6. 3434 1 12 ÷ Is there an easier way? 1. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 2. Cross reduce if possible. 3. Multiply straight across. 9191 Dealing with fractions inside of a fraction can be complicated and confusing. Luckily – you can avoid that all together! Click through to see how you can use multiplication to divide by a fraction! 3434 12 1 x 4. Simplify if necessary. 3 x 3 1 x 1 = 9

7. What are the steps? To divide by a fraction using multiplication : 1.Re-write the problem using multiplication and the inverse of the fraction after the operational symbol. 2.Cross reduce if possible. 3.Multiply straight across. 4.Simplify if necessary. numerator x numerator denominator x denominator

8. 7878 3434 ÷ Try it! 1. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 2. Cross reduce if possible. 3. Multiply straight across. 7676 Solve the problem on your own. Click through to see the steps and correct answer. 7878 4343 x 4. Simplify if necessary. 7 x 1 2 x 3 = 1 1616

9. 3737 3535 ÷ Practice 1. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 2. Cross reduce if possible. 3. Multiply straight across. 5757 Solve the problem on your own. Click to see the answer. 3737 5353 x 4. Simplify if necessary. 1 x 5 7 x 1

10. 1818 2323 ÷ Practice 1. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 2. Cross reduce if possible. 3. Multiply straight across. 3 16 Solve the problem on your own. Click to see the answer. 1818 3232 x 4. Simplify if necessary. 1 x 3 8 x 2

11. 5959 1313 ÷ Practice 1. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 2. Cross reduce if possible. 3. Multiply straight across. 5353 Solve the problem on your own. Click to see the answer. 5959 3131 x 4. Simplify if necessary. 5 x 1 3 x 1 = 1 2323

12. How about mixed numbers? To divide by a fractions or mixed numbers using multiplication : 1.Convert all mixed numbers to improper fractions. 2.Re-write the problem using multiplication and the inverse of the fraction after the operational symbol. 3.Cross reduce if possible. 4.Multiply straight across. 5.Simplify if necessary. numerator x numerator denominator x denominator

13. 4545 1212 4 ÷ 2 Practice 2. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 3. Cross reduce if possible. 4. Multiply straight across. 48 25 Solve the problem on your own. Click to see the answer. 24 5 2525 x 5. Simplify if necessary. 24 x 2 5 x 5 1. Change mixed numbers to improper fractions. = 1 23 25

14. 3434 1313 6 ÷ 3 Practice 2. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 3. Cross reduce if possible. 4. Multiply straight across. 81 40 Solve the problem on your own. Click to see the answer. 27 4 3 10 x 5. Simplify if necessary. 27 x 3 4 x 10 1. Change mixed numbers to improper fractions. = 2 1 40

15. 3 10 1414 7 ÷ 1 Practice 2. Re-write the division problem as a multiplication problem, but use the inverse of the second fraction. 3. Cross reduce if possible. 4. Multiply straight across. 146 25 Solve the problem on your own. Click to see the answer. 73 10 4545 x 5. Simplify if necessary. 73 x 2 5 x 5 1. Change mixed numbers to improper fractions. = 5 21 25