Math 5_Week 7 involving multiplication with and without addition and subtraction

Involving
Multiplication
Without or
With Addition
or Subtraction
of Fractions
Day 1

Find the value of N.
1. 5/9 + 3/9 =N
2. 8/12 +4/12 =N
3. 1/6 + 2/4 =N
4. 4/5 +5/6 =N
5. 7/8 +5/9 =N

Cruella sell food at the
market. Her daily budget is
Php 3, 500.00. She allots 4/7
for meat, 2/7 for fish and 1/7
for vegetables and other
ingredients. How much is the

Solving word problems.
Step 1: Read and Understand
a.What is asked in the problem?
-The amount of money allotted for buying
fish, vegetables and other ingredients
b. What is/ are given facts?
-Budget worth Php 3,500.00
-4/7 for meat, 2/7 for fish and 1/7 for
vegetables and other ingredients

Step 2: Plan
a.Add the fractional parts (2/7fish + 1/7
vegetables and other ingredients)
b.Multiply the sum by the marketing
budget.
c.Mathematical sentence.
3,500.00 x(2/7 + 1/7)=N

Step 3: Solve
Follow the PMDAS rules.
3,500.00x(2/7 +1/7)=N
3,500.00x 3/7
3,5000/1 x 3/7 =N
10,500.00/7=N
10,500 ÷7 = 1,500 or 1,500.00
7 ÷7 = 1

Therefore, the amount
allotted for fish,
vegetables and other
ingredients is Php
1,500.00.

Solve. Follow the steps in solving word problem.
Joy is 144 cm tall, and
Jasmin is
1/6 taller than her. How tall
is Jasmin?
b.What is/ are given facts?
Step 2: Plan
c.Write the mathematical Sentence.
Step 3: Solve

Solve.
In a graduating class
of 164 students, 2 /4
decided to take technical
courses, 1 /4 wanted to
take education, and the

How can we solve word
problems involving
multiplication of fraction with
or without addition of fraction
and whole numbers?
How to add similar fractions?
How to add dissimilar fractions?
How can we multiply fractions?

Solve. Follow the steps in
solving word problem.
One- fifth of the 40 pupils
of Miss Ramos are Math
Club members. How may

Solve Word
Problems
Involving
Multiplication
Without or
With Addition
Day 2

Drill.
What is the value of n?
1. 4 – 2 = n
6 6
2. 1 7 – 3 =n
9 9
3. 12 4 – 2 2 =n
5 5
4. 1 x 2 =n
4 4
5. 2 x 3 = n
4 5

Ask:
During the time of
pandemic, what do you do
to help people who are
needed?

Manuel harvested 2 sacks
of palay in his farm. Each sack
weighed 25 ¼ kilograms. To
share his blessing during this
time of pandemic, he gave 1/3
of all harvested palay to his

Total number in kilograms of palay
left to Manuel?
b.What is/ are given facts?
25 ¼ of kilograms of palay

Step 2: Plan
Use multiplication and
subtraction of fractions.
Mathematical sentence.
(2 x 25 ¼) -1/3 =n

Step 3: Solve
(2 x 25 ¼) -1/3 =n
(2 x 25 1 ) – 1 = n
1 4 3
( 2 x 101) – 1 =n
1 4 3

(2 x 101 = 202 simplify
1 4 4
202 ÷4= 50 r.2
50 1/2 -1/3 =n
50 1/ 2– 1/3 = 50 3/6 – 2/6 =n
50 3/6- 2/6 = 50 1/6

Therefore, Manuel still has
50 1/6 kgs. of palay left.

Problem # 1:
Rita has 10 guavas.
She shared 3/5 of these
guavas with her
classmates. She then gave
her brother 2 of the

Problem # 2:
Eight pupils have
5 marbles each. If
they gave away 5/8

o How can we solve word
problems involving
multiplication of fraction with
or without subtraction of
fraction and whole numbers?
o How to subtract similar

Solve. Follow the steps in solving
word problem.
Linda received ½ slice of a
pizza from her friend. She gave
1/3 of this to her seatmate who
had no money to buy food for

Solve Word
Problems Involving
Multiplication
Without or With
Addition or
Subtraction of
Day 3

Solve for the missing
number.
1. 2/3 x n/2 = 2/6 = ____
2. n/4 x ½ = 2/8 = _____
3. 5/6 x n/5 = 15/30 = _____
4. 2/3 x n/4 = 6/12 = _____

Who among you are Boy Scouts? Girl
Scouts? Is it good to join in scouting
activities? Why?

There are 19 boys in section 1 and 23
boys in section 2. If 2/6 of them are
boy scouts, how many boy scouts are
there?

Step 1: Read and Understan
1. What is asked in the problem?
2. What is/ are given facts?

Step 2: Plan
What is the operation to be used?
Mathematical sentence.
Step 3: Solve

Problem # 1:
The boy scouts
brought 12 metres of
rope. They cut ½ of it
into pieces of 2/3 metre

Problem # 2:
Nicole earns Php 1,000 a
week from selling bibingka.
She saves 1/5 of it and gives
½ of what was left to her
parents. How much money

o How can we solve word problems
involving multiplication of fraction
with or without subtraction of fraction
and whole numbers?
o How to subtract similar fractions?
o How to subtract dissimilar fractions?
o How can we multiply fractions?

Solve. Follow the steps in
solving word problem.
There are 24 hours in a day.
Noel spends 3/8 of a day
working. How much time
does Noel spend in working?

Showing that
multiplying a
fraction by its
reciprocal is equal
to 1.
Day 4

Find the product. (Use show me board)
1. 3/8 x 2/3
2. ¼ x 16
3. ½ x ¼
4. 5 x 2/5
5. 2/3 x ½

Do you have any left over items at
home which can be used for
another purpose? Today, let’s talk
about a boy who makes use of
leftover materials in making book
ends and glass coasters.

He found 4 pieces of wood from his
parent’s furniture shop. He cut each
many pieces he will be able to cut
using different fractional parts.

Help Roderick tell how many pieces of
wood will he have if he cuts the 8-
decimeter board into:
1. ½ dm long section
2. ¼ dm long section
3. 1/5 dm long section

a. Ask each pair to get 4 pieces of strips to
represent the wood. Let them make a strip
that is 4 dm long.
b. Guide them to make the indicated
section. Let them mark the section and
give each section a name.

c. Examine the 4 pieces of paper you just folded.
How many folds did you count, when folded
each decimeter into 2? What do you call each
part? (1/2) How many 1/2s were you able to
count? (8) What math sentence will you make to
find how many halves are there in 4 dm? To find
the answer what did you
actually do?

d. Guide the pupils to notice about the two
fractions. (The denominator of 1 fraction
becomes the numerator of the next fraction.

Give the reciprocal of the given
numbers. (Use show me board)
1. 11/4
2. 1/5
3. 8
4. 3/7
5. 8/10

Write “YES” if the second number is
the reciprocal of the first. If not,
write the reciprocal of the first
number.
1. 1 ½ x 2/3
2. 8 2/5 x 5/42
3. 2 3/8 x 8/10
4. 3 2/3 x 11/2

o What do you call number pair of
fraction?
o What is multiplicative inverse?

Which pairs of fraction are reciprocals. If
they are not, write the reciprocal.
1. 1/5 and 5/1
2. ¾ and ¼
3. 3/9 and 1/3
4. 3/12 and 2/13
5. 1 7/8 and 8/7

Showing that
multiplying a
fraction by its
reciprocal is
equal to 1.
Day 5

Solve the problem
Camille had 1/2 kg of
lanzones. Camille let her
friend Jim eat 1/4 of the
lanzones. How kilogram of
lanzones did Jim eat?

Do you have any left over
items at home which can be
used for another purpose?
Today, let’s talk about a boy
who makes use of leftover

He found 4 pieces of wood
from his parent’s furniture
shop. He cut each many
pieces he will be able to cut
using different fractional

Help Roderick tell how many pieces of
wood will he have if he cuts the 8-
decimeter board into:
1. ½ dm long section
2. ¼ dmlong section

Give the reciprocal of the given
numbers. (Use show me board)
1. ¾
2. 5/6 x / 1/4
3. 1/3 + 2/3
4. ½ - 2/3
5. 3/10

Write “YES” if the second number is
the reciprocal of the first. If not, write
the reciprocal of the first number.
1. 3/17 x 5 2/3
2. 2¼ x 4/9
3. 3 2/4 X 4/13
4. ½ + 1/3 X 5/6
5. ¾ - ¼ x 2/1

o What do you call number
pair of fraction?
o What is multiplicative
inverse?

Answer the following:
1. Find the product of 2/4 and 6/8, then
give its reciprocal.
2. What is the reciprocal of the
difference between 5/6 and ½?
3. Multiply ½ by 4, then give the
multiplicative inverse of the product.
4. The sum of ½ and ¼ is ___. What is its

Math 5_Week 7 involving multiplication with and without addition and subtraction

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