Ppt

1. Addition and
Subtraction of Similar
and Dissimilar Fraction

2. Clap once when the fractions are similar and clap
twice if the fractions are dissimilar.
1.
2
4
and
3
4
5.
3
7
and
8
12
4.
2
6
and
3
8
3.
3
5
and
2
5
2.
4
9
and
6
9

3. • Similar fractions are fractions with same
denominators.
• Dissimilar fractions are fractions with different
denominators.
2
4
and
3
4
4
9
and
6
9
3
5
and
2
5
2
6
and
3
8
3
7
and
8
12
7
9
and
6
15

4. Vito and John Carl bought
a large pizza and slice it into 8
equal parts. Vito ate
2
8
of the
pizza while JC ate
4
8
of the
pizza. What part of the pizza
did they eat?
+ =
2
8
4
8
6
8
+ =

5. Step 1: Add the numerators.
2
8
+
4
8
=
6
Step 2: Copy the denominator.
2
8
+
4
8
=
6
8
Step 3: Reduce the answer to
lowest term.
6
8
÷
2
2
=
𝟑
𝟒
of pizza
In adding similar fractions we have to remember these
3 steps:

6. Example:
1.
6
12
+
3
12
=
Step 1: Add the numerators.
6
12
+
3
12
=
9
Step 2: Copy the denominator.
6
12
+
3
12
=
9
12
Step 3: Reduce the answer to
lowest term.
9
12
÷
3
3
=
𝟑
𝟒

7. Step 1: Add the numerators.
15
25
+
10
25
=
25
Step 2: Copy the denominator.
15
25
+
10
25
=
25
25
Step 3: Reduce the answer to
lowest term.
25
25
=1
2.
15
25
+
10
25
=

8. To subtract similar fractions we
have to remember these 3 steps:
Prince had
5
6
of buko pie. He ate
1
6
. How much was left?
Step 1: Subtract the numerators.
5
6
-
1
6
=
4
Step 2: Copy the denominator.
5
6
-
1
6
=
4
6
Step 3: Reduce answer to lowest
term.
4
6
÷
2
2
=
𝟐
𝟑
of buko pie
5
6
1
6
4
6
-
-
=
=

9. Example:
1.
14
27
-
5
27
=
Step 1: Subtract the numerators.
14
27
-
5
27
=
9
Step 2: Copy the denominator.
14
27
-
5
27
=
9
27
Step 3: Reduce answer to lowest
term.
9
27
÷
9
9
=
𝟏
𝟑

10. Let’s have another example:
2.
12
16
-
7
16
=
Step 1: Subtract the numerators.
12
16
-
7
16
=
5
Step 2: Copy the denominator.
12
16
-
7
16
=
5
16
Step 3: Reduce answer to lowest
term.
𝟓
𝟏𝟔

11. The fractions
4
5
and
3
4
are
dissimilar fractions. These
fractions have different
denominators.
A puppy weighs
4
5
kilogram. A
rabbit weighs
3
4
kilogram.
What is the combined weight of
the two pet animals?

12. Let’s add
Step 1: Multiply
the denominator.
Step 2: Cross Multiply.
Multiply the numerator of the first
fraction to the denominator of the
second fraction. Multiply the
numerator of the second fraction to
the denominator of the first fraction.
Step 3: Add the product of Step
2.
Step 4: Reduce to lowest term.
4
5
+
3
4
4
5
+
3
4
x
20
4
5
+
3
4
16 +
20
16 + 15
20
31
20
31
20
15

13. Example
Step 1: Multiply
the denominator.
Step 2: Cross Multiply.
Multiply the numerator of the first
fraction to the denominator of the
second fraction. Multiply the
numerator of the second fraction to
the denominator of the first fraction.
Step 3: Add the product of Step
2.
Step 4: Reduce to lowest term.
3
6
+
2
7
3
6
+
2
7
x
42
3
6
+
2
7
21 +
42
21 + 12
42
33
42
33
42
12

14. Another example
Step 1: Multiply
the denominator.
Step 2: Cross Multiply.
Multiply the numerator of the first
fraction to the denominator of the
second fraction. Multiply the
numerator of the second fraction to
the denominator of the first fraction.
Step 3: Add the product of Step
2.
Step 4: Reduce to lowest term.
5
10
+
3
5
5
10
+
3
5
x
50
5
10
+
3
5
25 +
50
25 + 30
50
55
50
55
50
÷
5
5
=
11
10
30

15. Alma has
8
12
bibingka. She
shared
5
8
with her classmate.
What part of the bibingka was
left?
The fractions
8
12
and
5
8
are dissimilar
fractions. These fractions have
different denominators.

16. Let’s have
Step 1: Multiply
the denominator.
Step 2: Cross Multiply.
Multiply the numerator of the first
fraction to the denominator of the
second fraction. Multiply the
numerator of the second fraction to
the denominator of the first fraction.
Step 3: Subtract the product of
Step 2.
Step 4: Reduce to lowest term.
8
12
-
5
8
8
12
-
5
8
x
96
8
12
-
5
8
64 −
96
64 − 60
96
4
96
4
96
÷
4
4
=
1
24
60

17. Another example
Step 1: Multiply
the denominator.
Step 2: Cross Multiply.
Multiply the numerator of the first
fraction to the denominator of the
second fraction. Multiply the
numerator of the second fraction to
the denominator of the first fraction.
Step 3: Subtract the product of
Step 2.
Step 4: Reduce to lowest term.
4
7
-
3
8
4
7
-
3
8
x
56
4
7
-
3
8
32 −
56
32 − 21
56
11
56
11
56
21

19. 1. Felita walked her dog
4
5
kilometers on Saturday and
3
5
kilometers
on Sunday around the village. How far is that all together?
2. Ivan jogged
3
4
km yesterday and
2
5
km today along the vergara high
way. How far did he jogged for two days?
3. Carina needed 3
1
4
m of red ribbon to decorate a dress but she only
has 2
3
5
m. How many meters of ribbon is she still needed?
4. Chris has
3
4
yard of material. He uses
1
2
to cover a chair. How
much yard is he left with?
Write an equation for each problem then solve.
7
5
kilometers
23
20
kilometers
1
7
20
meters of red ribbon
1
4
yard of material

20. 1.
25
30
+
10
30
=
2.
8
12
+
2
8
=
3.
7
13
-
5
13
=
4.
8
9
-
4
7
=
5.
11
12
-
5
9
=
Add or Subtract. Write the answer in lowest terms.
7
6
11
12
2
13
20
63
13
36