Math5 Solving Routine Problems Involving Division

Mathematics 5
MARIA CRISTINA A. VILLARALVO

Teacher Tinay (Tacurong National High School)
Objectives:
2. Solves routine problems involving
division without any other operations of
fractions and whole numbers.
1. Identifies the steps in problem
solving.
3. Demonstrates the value of sharing.

Write the simplest form of each of the
following fractions.
1. )
12
24
= _______
2.)
14
21
= _______
3.)
15
45
= _______
4.)
6
30
= _______
5.)
8
32
= _______ 0001020304050607080910

Write the simplest form of each of the
following fractions.
1. )
12
24
=
2.)
14
21
=
3.)
15
45
=
4.)
6
30
=
5.)
8
32
=
1
2
2
3
1
3
1
5
1
4

:Divide the following fractions by a
whole number. Write your answers in
the lowest term.
Review
1.
3
4
÷ 4 = _____
2.
1
5
÷ 6 = _____
3. 4 ÷
1
3
= _____
4. 2 ÷
2
5
= _____
5. 6 ÷
2
3
= _____ 0001020304050607080910

:Divide the following fractions by a
whole number. Write your answers in
the lowest term.
Review
1.
3
4
÷ 4 =
2.
1
5
÷ 6 =
3. 4 ÷
1
3
= 12
4. 2 ÷
2
5
= 5
5. 6 ÷
2
3
= 9
3
16
1
30

What are the steps in
problem solving?
0001020304050607080910

Lesson Proper

What are the steps in problem solving?
1. Know what is ask.
2. Know what are the given facts.
Understand the problem.

3. Determine the operation to be used.
4. Write the number sentence.
Plan.

5. Show your Solution.
6. Check your answer.
Solve.
Check and look back.
7. Write the complete answer.

There are 5 liters of
milkshakes. Each girl can
consume
1
5
liter of milkshakes
per serving. For how many
girls, Mariel is preparing
milkshakes?
Problem Solving

milkshakes. Each girl
can consume
1
5
liter of
milkshakes per
serving. For how many
girls, Mariel is
preparing milkshakes?
C. Solve
5. Show the solution
5 ÷
1
5
=N
5 ×
5
1
=N
5 × 5 =N
25 =N

can consume
1
5
liter of
milkshakes per
girls, Mariel is
D. Check and look back
5 ÷
1
5
=25
5 ×
5
1
=25
5 × 5 =25
25=25
6. Check your answers

can consume
1
5
liter of
milkshakes per
girls, Mariel is
7. State the complete answer.
Mariel is preparing
milkshakes for 25
girls.

0203040506070809
Angel has 6 kilograms of boiled peanuts. She
wants to repack these into small plastic bag
which weigh
3
8
kilogram each. How many
small plastic bags does she need?
Problem Solving
0001020304050607080910

Angel has 6 kilograms of
boiled peanuts. She
wants to repack these
into small plastic bag
which weigh
3
8
kilogram
each. How many small
plastic bags does she
need?
A.Understand
1. Know what is asked in the
problem
How many small plastic bags
does she needs?
2. Know what are the given facts
- 6 kilograms of peanuts.
-
3
8
kilograms per bag.

boiled peanuts. She
which weigh
3
8
kilogram
need?
C. Solve
3. Determine the operation to be
used.
Division
4. Write the number sentence.
6 ÷
3
8
= N

boiled peanuts. She
which weigh
3
8
kilogram
need?
C. Solve
5. Show your solution.
6 ÷
3
8
= N
6 ×
8
3
= N
6 ×
8
3
= N2
1
2 × 8 = N
16 = N

boiled peanuts. She
which weigh
3
8
kilogram
need?
6. Check your answers.
6 ÷
3
8
= 16
6 ×
8
3
= 16
6 ×
8
3
= 162
1
2 × 8 = 16
16 = 16

boiled peanuts. She
which weigh
3
8
kilogram
need?
7. State the complete answer.
She needs 16 small
plastic bags.

Complete the steps in problem solving.
You Do It
operation to be used
the given facts
what is ask
State the complete answer
number sentence
A.Understand
1. Know __________ in the problem.
2. Know what are _______________.
B. Plan
3. Determine the _________________.
4. Write the ______________________.
C. Solve
D. Check and look back.
7. ______________________________.
0001020304050607080910

Complete the steps in problem solving.
You Do It
operation to be used
the given facts
what is ask
State the complete answer
number sentence
A.Understand
1. Know __________ in the problem.
2. Know what are _______________.
B. Plan
3. Determine the _____________________.
4. Write the ______________________.
C. Solve
D. Check and look back.
7. ______________________________.

Show your solutions to the following problems.
1. Four friends are running in a relay race. The race
is
1
3
kilometer long. How many kilometers will each
friend run?
2. Niko has
1
4
kilo of a grilled tuna. He wants to share
it equally between himself and his brother. How
much of a grilled tuna will each of them get?
0001020304050607080910

1. Four friends are
running in a relay
race. The race is
1
3
kilometer long. How
many kilometers will
each friend run?
Solution:
1
3
÷ 4 = N
1
3
×
1
4
= N
1
12
= N
The reciprocal of
4 is
1
4
.
1
3
÷ 4 =
1
12
1
3
×
1
4
=
1
12
1
12
=
1
12
Each friend will run
1
12
kilometer.

2. Niko has
1
4
kilo of a
grilled tuna. He wants
to share it equally
between himself and
his brother. How much
of a grilled tuna will
each of them get?
Solution:
1
4
÷ 2 = N
1
4
×
1
2
= N
1
8
= N
The reciprocal of
2 is
1
2
.
1
4
÷ 2 =
1
8
1
4
×
1
2
=
1
8
1
8
=
1
8
Each of them will get
1
8
kilo of the tuna.

Thank you and
goodbye class.

Math5 Solving Routine Problems Involving Division

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