MATH 6
FRACTIONS
NAME: _____________________________
Hi Grade 6! How was your short break? I hope you were able to rest well.
For this week, we will continue with our lessons on fractions. We will start
with Addition and Subtraction of Similar and Dissimilar Fractions.
We would also start using your book Realistic Math: Scaling Greater Heights.
Let’s begin!
LEARNING OBJECTIVES
1. Differentiate similar and dissimilar fractions.
2. Add and Subtract similar and dissimilar fractions.
RECALL
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MATH 6
PAGE 1
MATH 6
FRACTIONS
Let’s look at the table below:
SIMILAR FRACTIONS
1
5
4
9
,
,
2
5
5
9
,
,
3
5
6
9
,
,
DISSIMILAR FRACTIONS
4
1
5
2
7
2
9
3
4
,
,
,
5
5
7
3
6
1
,
8
,
,
7
9
9
12
Review the set of fractions under similar fractions. What do you notice?
How about the set of fractions the under dissimilar fractions?
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
SIMILAR FRACTIONS
SIMILAR FRACTIONS
are fractions with the
same denominators.
1
5
DISSIMILAR
FRACTIONS
Are fractions with
different denominators.
5
,
3
5
,
4
5
DISSIMILAR FRACTIONS
1
2
MATH 6
,
2
,
4
5
,
3
6
,
7
9
PAGE 2
ADDITION/SUBTRACTION OF SIMILAR FRACTIONS
SIMILAR FRACTIONS
To ADD and SUBTRACT Similar Fractions:
1. ADD/SUBTRACT the NUMERATOR
2. COPY the DENOMINATOR
EXAMPLE 1
12
7
19
+
=
25
25
25
12
7
1. ADD/SUBTRACT the NUMERATOR
19
+
=
25
25
25
2. COPY the DENOMINATOR
EXAMPLE 2
35
18
17
=
40
40
40
35
18
17
=
40
40
40
MATH 6
1. ADD/SUBTRACT the NUMERATOR
2. COPY the DENOMINATOR
PAGE 3
MATH 6
ADDITION/SUBTRACTION OF SIMILAR FRACTIONS
EXAMPLE 3
3
3
24
+ 5
36
24
+ 5
36
1
36
1
36
=
=
8
8
25
1. ADD/SUBTRACT whole number.
36
25
2. ADD/SUBTRACT fractions.
36
EXAMPLE 4
3
18
+
9
18
=
3
+
18
9
=
12
18
When adding and subtracting fractions, all answers
must be SIMPLIFIED or REDUCED TO LOWEST TERM
Let’s review how to simplify fractions.
12
÷
18
÷
12
18
6 of 2
GCF
12 and =
18=6
6
3
÷
6
2
÷
6
=
1. Find GCF of 12 and 18.
2. Divide fractions by the GCF.
3
LET’S PRACTICE ON THE NEXT PAGE!
MATH 6
PAGE 4
ADDITION/SUBTRACTION OF SIMILAR FRACTIONS
17
55
67
84
54
120
32
72
96
19
+
55
18
-
84
+
3
=
=
18
120
- 14
8
-
22
96
+
1
8
+
10
120
=
=
10
96
=
How did you find the
exercises?____________
END OF DAY 1
MATH 6
PAGE 5
MATH 6
ADDITION/SUBTRACTION OF DISSIMILAR FRACTIONS
DISSIMILAR FRACTIONS
Welcome to Day 2. Now, let’s
learn how to add or subtract
DISSIMILAR FRACTIONS.
METHOD 1: USING THE LCM (LEAST COMMON MULTIPLE)
12 ÷ 4 = 3
3x1=3
1
4
+
2
6
=
1. Find the LCM
2. Divide the LCM by the
denominator of each fraction
Then multiply the quotient and
the numerator..
3. Simplify your answer if
possible.
12 ÷ 6 = 2
2x2=4
3
+
4
12
=
7
12
LCM of 4 and 6 = 12
12 ÷ 4 = 3
3x1=3
7
12 ÷ 6 = 2
2x2=4
Is already in its simplest form.
12
MATH 6
PAGE 6
ADDITION/SUBTRACTION OF DISSIMILAR FRACTIONS
METHOD 2: TEACHER ANDREI’S METHOD ☺
1. Multiply the denominators of the
fraction and write it as such →
(4) x (6)
6
1
4
2
+
6
=
+
8
(6 X 1) + (4 x 2)
=
(4) x (6)
14
÷
2
24
÷
2
14
÷
2
24
÷
2
2. Cross-multiply the denominator and numerator
6
1
4
2
+
6
=
+
8
(6 X 1) + (4 x 2)
(4) x (6)
=
3. Solve and simplify.
6
1
4
+
2
6
=
+
8
(6 X 1) + (4 x 2)
(4) x (6)
=
14
÷
2
24
÷
2
=
7
12
You can use the method that you find easier, You will arrive with
the same answer! On the next pages are more examples.
MATH 6
PAGE 7
MATH 6
ADDITION/SUBTRACTION OF DISSIMILAR FRACTIONS
EXAMPLE 1
40 ÷ 5 = 8
8 x 2 = 16
METHOD 1
2
LCM METHOD
5
1
-
16
=
8
40 ÷ 8 = 5
5x1=5
-
2
MY METHOD
5
1
-
(8 x 2) -
=
8
-
9
=
40
16
METHOD 2
5
40
5
(5 x 1)
9
=
(5) x (8)
40
EXAMPLE 2
For mixed number, we will just add/subtract the whole number and follow the
rules for dissimilar fraction.
3
7
10
1
+ 5
=
2
10 ÷ 10 = 1
1x3=3
3
10
+
1
2
=
3
10
+
1
2
=
+
5
+
5
=
8
÷
2
10
÷
2
16
÷
4
20
÷
4
12
=
=
4
5
10
(3 x 2) + (10 x 1)
(10) x (2)
12
MATH 6
+
10 ÷ 2 = 5
5x1=5
10
6
3
7
=
=
4
5
4
5
PAGE 8
ADDITION/SUBTRACTION OF SIMILAR FRACTIONS
25
30
12
16
+
+
63
-
72
55
5
8
6
7
+
3
12
4
12
9
81
- 23
3
4
+
5
6
=
=
5
42
-
=
1
6
=
How did you find the
exercises?____________
END OF DAY 2
MATH 6
PAGE 9