# Solving Problems Involving Multiplication of Fractions.pptx

May. 28, 2023β’β’
1 of 18

### Solving Problems Involving Multiplication of Fractions.pptx

• 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 π π and π π ? 3 π π + π π = π + ππ + ππ 16 5 = π + ππ ππ = π + π π ππ = π π ππ
• 4. Butterfly or Cross-Multiplication Method =7 ππ 2 ππ - =5 8 3 π ππ
• 5. = 2 3 3 8 x 6 24 2 3 ππ 3 8 Multiplying Fractions = = π π Cancellation Method 1. Look for a pair of numerator and denominator to cancel or reduce. 2. Multiply. 2 3 3 8 x = 1 1 π π 1 4
• 6. There was π π of a pie left in the fridge. Liam ate π π of the leftover pie. How much of a pie did he eat? The FOUR STEPS in Solving Problems: 1. Understand 2. Plan 3. Solve 4. Check 1. Study 2. Think 3. Act 4. Review
• 7. There was π π of a pie left in the fridge. Liam ate π π 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? π π of a pie left π π of the leftover pie
• 8. There was π π of a pie left in the fridge. Liam ate π π 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? π π x π π = N
• 9. There was π π of a pie left in the fridge. Liam ate π π of the leftover pie. How much of a pie did he eat? SOLVE π π x π π = N π π x π π = π ππ = π π Answer: Liam ate π π of the pie.
• 10. There was π π of a pie left in the fridge. Liam ate π π of the leftover pie. How much of a pie did he eat? CHECK π π x π π = π π Answer: Liam ate π π 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 π ππ pound. 6 cupcakes in each box Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is π ππ 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 π ππ 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? π ππ x 6= N
• 13. Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is π ππ pound. If she packed 6 cupcakes in each box, what is the weight in pounds of each box? SOLVE π ππ x 6= N π ππ x π π = ππ ππ = π π Answer: The weight of each box of cupcakes is π π pound.
• 14. CHECK π ππ x π π = π π Answer: The weight of each box of cupcakes is π π pound. 2 5 Pam baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is π ππ 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: 3 4 x 4 3 = 1