1. Multiplying and Dividing Fractions

2. Adding and Subtracting Fractions
We can add and subtract fractions with the same (common) denominator easily. 3 5 1 5 4 5 + =

3. Multiplying Fractions
When multiplying fractions, we do not need to have common denominators. 3 5 1 3 x =
These do not have to be the same!

4. Multiplying Fractions
To multiply fractions, simply multiply the two numerators and the two denominators. x = 3 5 1 3 ? x =

5. Multiplying Fractions
To multiply fractions, simply multiply the two numerators and the two denominators. x = 3 5 1 3 3 ? x =

6. Multiplying Fractions
To multiply fractions, simply multiply the two numerators and the two denominators. 3 5 1 3 3 ? x = x =

7. Multiplying Fractions
To multiply fractions, simply multiply the two numerators and the two denominators. 3 5 1 3 3 15 x = x =

8. Multiplying Fractions
If possible, state in simplest form. 3 5 1 3 3 15 1 5 x = =

9. Mixed Numbers
To multiply mixed numbers, convert them to improper fractions first. 1

10. Your Turn
1 3 x
1 𝟒 𝟏𝟓

11. 1 3 3 1 Dividing Fractions The reciprocal of 1/3 is 3/1.
To divide by a fraction, you must multiply by its reciprocal.
To find its reciprocal, simply flip the fraction over! 1 3 3 1
The reciprocal of 1/3 is 3/1.

12. 3 5 1 3 9 5 3 5 3 1 ÷ = x = Dividing Fractions
Example: 3 5 1 3 ÷ =
Multiply by the reciprocal… 9 5 3 5 3 1 x =

13. Your Turn
÷ 1 4
𝟓𝟐 𝟓 or 10 𝟐 𝟓

14. Dividing Fractions
Assignment