1. Copyright(c)Ed2NetLearning. Inc 1 Chapter – 6 Lesson 43 Multiplying Fractions and Fractions

2. Copyright(c)Ed2NetLearning. Inc 2 Objectives To multiply fractions

3. Copyright(c)Ed2NetLearning. Inc 3 Previous Knowledge Find the GCF of the following: 1.24, 32=8 2.15, 45=15 3.39, 78=39 4.108, 72=36 5.600, 320=40

4. Copyright(c)Ed2NetLearning. Inc 4 Multiplying Fractions To multiply fractions, multiply the numerators and multiply the denominators. Example: Arithmetic 2/5 x ½ = 2 x 1 = 2/10 5 x 2 Algebra : a x c =a x c b d b x d

5. Copyright(c)Ed2NetLearning. Inc 5 Example - Multiply Fractions Find 1/3 x ¼ 1/3 x ¼ = 1 x 1 3 x 4 =1 12 Multiply the numerators Multiply the denominators Simplify

6. Copyright(c)Ed2NetLearning. Inc 6 Practice Problems Multiply and write in simplest form: 1.½ x ¾ =3/8 2.1/3 x 2/3=2/9 3.¼ x ¾ =3/16 4.1/3 x 3/8=1/8 5.2/3 x 4/9=8/27 6.5/6 x 5/8=25/48

7. Copyright(c)Ed2NetLearning. Inc 7 Simplify before Multiplying If the numerator and denominator have a common factor, we can simplify before we multiply.

8. Copyright(c)Ed2NetLearning. Inc 8 Example – Simplify before multiplying Find 1/3 x ¾ 1 x ¾ 3 =¼=¼ 1 1 The numerator 3 and the denominator 3 have common factor 3 Divide both the numerator and denominator by 3

9. Copyright(c)Ed2NetLearning. Inc 9 EXAMPLE – 2 Find ¾ x 4/9 ¾ x 4/9=3 x 4 4 9 =1=1 3 1 1 1 3

10. Copyright(c)Ed2NetLearning. Inc 10 Practice Problems Multiply and write in its simplest form: 1.3 x 45 = 9 = 1 5 27 9 2.5 x 16 = 10 8 17 17 3.6 x 44 = 8 11 45 15 4.7 x 1 = 1 13 56 104 5.4 x 28 = 4 7 36 9

11. Copyright(c)Ed2NetLearning. Inc 11 Word Problems 3/8 of the school campus is used for class rooms and 2/5 of the campus is used for games fields. How much space is used? 3/8 x 2/5=3/20 of school space

12. Copyright(c)Ed2NetLearning. Inc 12 Now your Turn There was 1/5 of a tin of yellow paint and ¼ of a tin of green paint left over after painting my room. How much paint was left over? 1/5 x ¼ = 1/20

13. Copyright(c)Ed2NetLearning. Inc 13 Review To multiply fractions, multiply the numerators and multiply the denominators.

14. Copyright(c)Ed2NetLearning. Inc 14 Assessment Multiply. 1.3/8 x 2/3=¼ 2.5/4 x 8/7=1 3/7 3.4/5 x 5/7=4/7 4.4/15 x 3/20=1/25 5.4/7 x 21/28=3/7 6.2/3 x ½=1/3 7.½ x ½=¼ 8.4/5 x 5/3=1 1/3 9.¾ x 4/5=3/5 10.6/15 x 3/5=6/25

15. Copyright(c)Ed2NetLearning. Inc 15 Great Job!!