Modified In-School Off-School Approach Modules (MISOSA)
Distance Education for Elementary Schools
M SELF-INSTRUCTIONAL MATERIALS
A
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H
E
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I ADDITION OF MIXED
C FORMS
S
Department of Education
5 BUREAU OF ELEMENTARY EDUCATION
2nd Floor Bonifacio Building
DepEd Complex, Meralco Avenue
Pasig City
Revised 2010
by the Learning Resource Management and Development System (LRMDS),
DepEd - Division of Negros Occidental
under the Strengthening the Implementation of Basic Education
in Selected Provinces in the Visayas (STRIVE).
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“No copyright shall subsist in any work of the
Government of the Republic of the Philippines. However,
prior approval of the government agency or office wherein
the work is created shall be necessary for exploitation of
such work for profit.”
This material was originally produced by the Bureau of Elementary
Education of the Department of Education, Republic of the Philippines.
This edition has been revised with permission for online distribution
through the Learning Resource Management Development System (LRMDS) Portal
(http://lrmds.deped.gov.ph/) under Project STRIVE for BESRA, a project supported
by AusAID.
ADDITION OF MIXED FORMS
Objective: Add mixed forms
Review
Find the sum.
2 1 39
1) 1 + a. 4
3 5 40
3 3 1
2) 4 + b. 4
5 8 3
1 3 13
3) 6 + c. 1
4 7 15
5 1 3
4) 3 + d. 3
6 2 20
2 3 19
5) 2 + e. 6
5 4 28
Study and Learn
You have already learned how to add a mixed number and a simple fraction with
a different denominator. This time you will learn how to add mixed numbers.
Let’s read the story problem below.
Cindy helps her mother sell different kinds of nuts on Saturdays. Last Saturday,
they were able to sell:
3 8
12 kilograms of peanuts 8 kilograms of cashew nuts
4 10
1 1
4 kilograms of pili nuts 3 kilograms of almonds
2 5
1
What does Cindy do on Saturday?
Knowing that this is what she does on Saturdays, how can you describe the kind
of girl that she is?
What things do you do that make you similar to Cindy?
How many kilos of peanuts and pili nuts were Cindy and her mother able to sell?
What is the correct number sentence?
3 1
12 + 4 =n
4 2
Let’s solve this step by step.
STEP 1 Change the fractional parts to similar 3 3
fractions using the Least Common 12 = 12
4 4
Denominator (LCD) 1 2
+ 4 =+ 4
2 4
STEP 2 Add the fractions, then the whole 3
numbers. 12
4
2
+ 4
4
5
16
4
STEP 3 Change the improper fraction in the 5 1
answer to mixed form. =1
4 4
Add this to the whole number. 1 1
Reduce the answer to its lowest term if 16 + 1 = 17
4 4
necessary.
3 1 1
So, 12 + 4 = 17
4 2 4
1
Therefore, Cindy and her mother were able to sell 17 kilograms of peanuts and
4
pili nuts.
Were you able to follow the steps?
2
This time, let’s try to find out how many kilograms of nuts they were able to sell
last Saturday.
Since we already have the number of kilograms of peanuts and pili nuts just add
this to the number of kilograms of almonds and cashew nuts sold. What would
be our number sentence this time?
1 7 1
17 + 8 +3 = n
4 10 5
Let’s solve.
STEP 1 1 5 The LCD of 4, 5 and 10 is 20.
17 = 17
4 20
8 16
8 =8
The answer 10 20
contains an 1 4
+ 3 =3
improper fraction. 5 20
25 STEP 2
28
20
STEP 3 25 5
=1
20 20
5 5 1
28 + 1 = 29 = 29
20 20 4
Try These
A. Add the mixed forms that are in the same shape. Simplify your answer.
1
1 1 5
2 1 2 3
4 8 6
5 2
3 4 2
3 6 3 1
3 4 4 7
3 4
8 1
7
1 6 2
5 3
3 3
3
Wrap Up
In adding mixed forms:
Change the fractional parts to similar fractions.
Add the fractions, then the whole numbers.
If the fractional part of the answer is an improper
fraction, change it to a proper fraction and add this to
the whole number.
Reduce the answer to its lowest terms if necessary.
On Your Own
Add the mixed forms in each of the following:
1 3
1) 4 +2
5 4
2 5 1
2) 10 + 2 + 3
3 6 4
4 1
3) 3 +2
11 2
1 4
4) 8 +2
5 15
6 4 1
5) 5 +2 +4
25 5 4
4
Key to Correction
ADDITION OF MIXED FORMS
REVIEW
1) c
2) a
3) e
4) b
5) d
TRY THESE
17
8
20
5
15
24
13
11
24
1
10
4
13
6
21
ON YOUR OWN
9
1) 6
20
3
2) 16
4
19
3) 5
22
7
4) 10
15
29
5) 12
100
