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MATHEMATICS 5
Solving Problems Involving
Division of Fractions
WEEK 9
-Solve routine or non-routine
problems involving division without
or with any of the other operations
of fractions and whole numbers
using appropriate problem solving
strategies and tools.
(MELC-Math 5)
Review
Dividing Simple Fractions
𝟒
𝟓
÷
𝟐
𝟑
=
𝟒
𝟓
CCF Method
Copy
the
dividend
Change
to
multiplication
x
Flip
(Get the
reciprocal)
𝟑
𝟐
=
𝟏𝟐
𝟏𝟎
Copy-Change-Flip
= 𝟏
𝟐
𝟏𝟎
= 𝟏
𝟏
𝟓
What are the four main steps
in solving math problems?
1. Understand
2. Plan
3. Solve
4. Check
1. Study
2. Think
3. Act
4. Review
Division
To check if division is the
operation involved in solving a
problem, you need to know the
following key terms: quotient,
divided by, cut, average, split
into.
Romeo is celebrating his birthday!
To prepare his lasagna, Romeo has
𝟑
𝟒
gallon of
tomato sauce that needs to be divided into 5
bowls of the same size. How many gallons of
tomato sauce should Romeo put into each
bowl?
UNDERSTAND
1. What is asked in the problem?
The number of gallons of tomato sauce
should Romeo put into each bowl.
2. What are given?
𝟑
𝟒
gallon of tomato sauce
5 bowls
PLAN
1. What is the operation will be used?
Division
2. What is the mathematical sentence?
𝟑
𝟒
÷ 5 = N
Romeo is celebrating his birthday!
To prepare his lasagna, Romeo has
𝟑
𝟒
gallon of
tomato sauce that needs to be divided into 5
bowls of the same size. How many gallons of
tomato sauce should Romeo put into each
bowl?
SOLVE
𝟑
𝟒
÷ 5= N
Answer:
𝟑
𝟐𝟎
gallon of tomato sauce
Romeo is celebrating his birthday!
To prepare his lasagna, Romeo has
𝟑
𝟒
gallon of
tomato sauce that needs to be divided into 5
bowls of the same size. How many gallons of
tomato sauce should Romeo put into each
bowl?
𝟑
𝟒
÷
𝟓
𝟏
=
𝟑
𝟒
x
𝟏
𝟓
=
𝟑
𝟐𝟎
CHECK
Answer:
𝟑
𝟐𝟎
gallon of tomato sauce
Romeo is celebrating his birthday!
To prepare his lasagna, Romeo has
𝟑
𝟒
gallon of
tomato sauce that needs to be divided into 5
bowls of the same size. How many gallons of
tomato sauce should Romeo put into each
bowl?
3
20
𝑥 5 =
3
20
𝑥
5
1
=
15
20
=
3
4
Five boxes of pizza were ordered. 3
𝟓
𝟖
of the pizza
ordered were given to the visitors and the
remaining slices of pizza were equally shared by
5 siblings. How much did each sibling get?
UNDERSTAND
1. What is asked in the problem?
The amount of pizza each sibling got.
2. What are given?
Five boxes of pizza,
3
𝟓
𝟖
of the pizza, 5 siblings
PLAN
1. What are the operations will be used?
Subtraction and Division
2. What is the mathematical sentence?
(5 - 3
𝟓
𝟖
) ÷ 5 = N
Five boxes of pizza were ordered. 3
𝟓
𝟖
of the pizza
ordered were given to the visitors and the
remaining slices of pizza were equally shared by
5 siblings. How much did each sibling get?
SOLVE (5 - 3
𝟓
𝟖
) ÷ 5 = N
Answer:
𝟏𝟏
𝟒𝟎
of pizza each sibling got.
5 - 𝟑
𝟓
𝟖
=𝟒
𝟖
𝟖
-𝟑
𝟓
𝟖
=
𝟏𝟏
𝟖
x
𝟏
𝟓
=
𝟏𝟏
𝟒𝟎
Five boxes of pizza were ordered. 3
𝟓
𝟖
of the pizza
ordered were given to the visitors and the
remaining slices of pizza were equally shared by
5 siblings. How much did each sibling get?
=1
𝟑
𝟖
÷ 5
CHECK
Answer:
𝟏𝟏
𝟒𝟎
of pizza each sibling got
11
40
𝑥 5=
11
40
𝑥
5
1
=
11
8
=1
3
8
Five boxes of pizza were ordered. 3
𝟓
𝟖
of the pizza
ordered were given to the visitors and the
remaining slices of pizza were equally shared by
5 siblings. How much did each sibling get?
1
8
+3
5
8
=4
8
8
=5

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Solving Problems Involving Division of Fractions.pptx

  • 1. MATHEMATICS 5 Solving Problems Involving Division of Fractions WEEK 9
  • 2. -Solve routine or non-routine problems involving division without or with any of the other operations of fractions and whole numbers using appropriate problem solving strategies and tools. (MELC-Math 5)
  • 4. Dividing Simple Fractions 𝟒 𝟓 ÷ 𝟐 𝟑 = 𝟒 𝟓 CCF Method Copy the dividend Change to multiplication x Flip (Get the reciprocal) 𝟑 𝟐 = 𝟏𝟐 𝟏𝟎 Copy-Change-Flip = 𝟏 𝟐 𝟏𝟎 = 𝟏 𝟏 𝟓
  • 5. What are the four main steps in solving math problems? 1. Understand 2. Plan 3. Solve 4. Check 1. Study 2. Think 3. Act 4. Review
  • 6. Division To check if division is the operation involved in solving a problem, you need to know the following key terms: quotient, divided by, cut, average, split into.
  • 7. Romeo is celebrating his birthday! To prepare his lasagna, Romeo has 𝟑 𝟒 gallon of tomato sauce that needs to be divided into 5 bowls of the same size. How many gallons of tomato sauce should Romeo put into each bowl? UNDERSTAND 1. What is asked in the problem? The number of gallons of tomato sauce should Romeo put into each bowl. 2. What are given? 𝟑 𝟒 gallon of tomato sauce 5 bowls
  • 8. PLAN 1. What is the operation will be used? Division 2. What is the mathematical sentence? 𝟑 𝟒 ÷ 5 = N Romeo is celebrating his birthday! To prepare his lasagna, Romeo has 𝟑 𝟒 gallon of tomato sauce that needs to be divided into 5 bowls of the same size. How many gallons of tomato sauce should Romeo put into each bowl?
  • 9. SOLVE 𝟑 𝟒 ÷ 5= N Answer: 𝟑 𝟐𝟎 gallon of tomato sauce Romeo is celebrating his birthday! To prepare his lasagna, Romeo has 𝟑 𝟒 gallon of tomato sauce that needs to be divided into 5 bowls of the same size. How many gallons of tomato sauce should Romeo put into each bowl? 𝟑 𝟒 ÷ 𝟓 𝟏 = 𝟑 𝟒 x 𝟏 𝟓 = 𝟑 𝟐𝟎
  • 10. CHECK Answer: 𝟑 𝟐𝟎 gallon of tomato sauce Romeo is celebrating his birthday! To prepare his lasagna, Romeo has 𝟑 𝟒 gallon of tomato sauce that needs to be divided into 5 bowls of the same size. How many gallons of tomato sauce should Romeo put into each bowl? 3 20 𝑥 5 = 3 20 𝑥 5 1 = 15 20 = 3 4
  • 11. Five boxes of pizza were ordered. 3 𝟓 𝟖 of the pizza ordered were given to the visitors and the remaining slices of pizza were equally shared by 5 siblings. How much did each sibling get? UNDERSTAND 1. What is asked in the problem? The amount of pizza each sibling got. 2. What are given? Five boxes of pizza, 3 𝟓 𝟖 of the pizza, 5 siblings
  • 12. PLAN 1. What are the operations will be used? Subtraction and Division 2. What is the mathematical sentence? (5 - 3 𝟓 𝟖 ) ÷ 5 = N Five boxes of pizza were ordered. 3 𝟓 𝟖 of the pizza ordered were given to the visitors and the remaining slices of pizza were equally shared by 5 siblings. How much did each sibling get?
  • 13. SOLVE (5 - 3 𝟓 𝟖 ) ÷ 5 = N Answer: 𝟏𝟏 𝟒𝟎 of pizza each sibling got. 5 - 𝟑 𝟓 𝟖 =𝟒 𝟖 𝟖 -𝟑 𝟓 𝟖 = 𝟏𝟏 𝟖 x 𝟏 𝟓 = 𝟏𝟏 𝟒𝟎 Five boxes of pizza were ordered. 3 𝟓 𝟖 of the pizza ordered were given to the visitors and the remaining slices of pizza were equally shared by 5 siblings. How much did each sibling get? =1 𝟑 𝟖 ÷ 5
  • 14. CHECK Answer: 𝟏𝟏 𝟒𝟎 of pizza each sibling got 11 40 𝑥 5= 11 40 𝑥 5 1 = 11 8 =1 3 8 Five boxes of pizza were ordered. 3 𝟓 𝟖 of the pizza ordered were given to the visitors and the remaining slices of pizza were equally shared by 5 siblings. How much did each sibling get? 1 8 +3 5 8 =4 8 8 =5