Solving Problems Involving Multiplication of Fractions.pptx

Solving Problems Involving Multiplication of Fractions

1. MATHEMATICS 5 Solving Problems Involving Multiplication of Fractions Multiplying a Fraction by its Reciprocal WEEK 7

2. -Solve routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using appropriate problem solving strategies and tools -Show that multiplying a fraction by its reciprocal is equal to 1. (MELC-Math 5)

3. What is the sum of 3 and   3 +   +   16 5      

4. Butterfly or Cross-Multiplication Method = 7     - = 5 8 3  

5. =     x     Multiplying Fractions = =   Cancellation Method Look for a pair of numerator and denominator to cancel or reduce. 2. Multiply.     x = 1 1   1 4

6. There was of a pie left in the fridge. Liam ate of the leftover pie. How much of a pie did he eat?   The FOUR STEPS in Solving Problems: Understand Plan Solve Check Study Think Act Review

7. There was of a pie left in the fridge. Liam ate of the leftover pie. How much of a pie did he eat?   UNDERSTAND 1. What is asked in the problem? The amount of pie Liam ate. 2. What are given? of a pie left of the leftover pie  

8. There was of a pie left in the fridge. Liam ate of the leftover pie. How much of a pie did he eat?   PLAN 1. What is the operation will be used? Multiplication 2. What is the mathematical sentence? x = N  

9. There was of a pie left in the fridge. Liam ate of the leftover pie. How much of a pie did he eat?   SOLVE x = N x = = Answer: Liam ate of the pie.  

10. There was of a pie left in the fridge. Liam ate of the leftover pie. How much of a pie did he eat?   CHECK x = Answer: Liam ate of the pie.   1 1

11. UNDERSTAND 1. What is asked in the problem? The weight in pound of each box of cupcakes. 2. What are given? 24 cupcakes Each cupcake is pound . 6 cupcakes in each box   Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is pound . If she packed 6 cupcakes in each box, what is the weight in pounds of each box?  

12. Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is pound. If she packed 6 cupcakes in each box, what is the weight in pounds of each box ?   PLAN 1. What is the operation will be used? Multiplication 2. What is the mathematical sentence? x 6 = N  

13. Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is pound. If she packed 6 cupcakes in each box, what is the weight in pounds of each box?   SOLVE x 6 = N x = = Answer : The weight of each box of cupcakes is pound.  

14. CHECK x = Answer: The weight of each box of cupcakes is pound .   2 5 Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is pound. If she packed 6 cupcakes in each box, what is the weight in pounds of each box?  

15. Showing that Multiplying a Fraction by its Reciprocal is Equal to 1

16. Two fractions whose product is 1 are reciprocals of each other . Reciprocal means multiplicative inverse. Example: x = 1  

17. Example: x = 1   Example: 6 x = 1  

18. Example: 3 x = 1 x = 1