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Adding & Subtracting Fractions

The document provides a lesson on adding and subtracting fractions with the same denominators, including exercises and answers. It contains multiple examples for practice, along with instructions to convert improper fractions to mixed numbers. The document is structured to help learners understand the concept through guided exercises and answer keys.

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aruna
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0% found this document useful (0 votes)
21 views6 pages

Adding & Subtracting Fractions

The document provides a lesson on adding and subtracting fractions with the same denominators, including exercises and answers. It contains multiple examples for practice, along with instructions to convert improper fractions to mixed numbers. The document is structured to help learners understand the concept through guided exercises and answer keys.

Uploaded by

aruna
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Add and Subtract Fractions with

the Same Denominator


To add and subtract fractions with the same denominators.

1) Add or subtract. Use the fraction bars to help (you may not need all the bars).
If the answer is an improper fraction, convert to a whole or mixed number.

a) 3 + 2 =
6 6

b) 5 + 7 =
9 9

c) 6 + 8 =
7 7

d) 13 - 4 =
3 3

e) 23 - 5 =
4 4

f) 21 - 6 =
8 8

Maths | Fractions | Add and Subtract Fractions | Lesson 1 of


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9: Add and Subtract Fractions Same Denominator
Add and Subtract Fractions with
the Same Denominator
To add and subtract fractions with the same denominators.

2) Add or subtract. If the answer is an improper fraction, convert to a whole or mixed number.

a) 4 + 6 = b) 5 + 2 =
9 9 3 3

c) 13 - 2 = d)
17 4
- =
4 4 6 6

3) Fill in the missing numerators

a) 5 + 2 = 11 b) 7 + 2 = 15 = 1 6
8 8 8 9 9 9 9

c) 12 - 2 = 2 d) 14 - 2 = 9 = 2 6
5 5 5 4 4 4 4

Maths | Fractions | Add and Subtract Fractions | Lesson 1 of


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9: Add and Subtract Fractions Same Denominator
Add and Subtract Fractions with
the Same Denominator Answers
1)
a) 3 + 2 = 5 b) 5 + 7 =
12 3 1
= 1 (or 1 )
6 6 6 9 9 9 9 3

14 9
c) 6 + 8 = = 2 d) 13 - 4 = = 3
7 7 7 3 3 3

e) 23 - 5 = 18 = 4 2 (or 4 1 ) f) 21 - 6 = 15 = 1 7
4 4 4 4 2 8 8 8 8

2)
a) 4 + 6 = 10 = 1 1 b) 5 + 2 = 7 = 2 1
9 9 9 9 3 3 3 3

c) 13 - 2 = 11 = 2 3 d)
17 4 13
- = = 2
1
4 4 4 4 6 6 6 6

3)

a) 5 + 6 = 11 b) 7 + 8 = 15 = 1 6
8 8 8 9 9 9 9

c) 12 - 10 = 2 d) 14 - 5 = 9 = 2 1
5 5 5 4 4 4 4

Maths | Fractions | Add and Subtract Fractions | Lesson 1 of


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9: Add and Subtract Fractions Same Denominator
Add and Subtract Fractions with
the Same Denominator
To add and subtract fractions with the same denominators.

1) If the answer is an improper fraction, convert to a whole or mixed number.


Draw your own fraction bars to help if you need.

a) 5 + 4 = b) 2 + 2 =
8 8 3 3

c) 18 + 3 = d) 9 + 3 =
4 4 5 5

e) 18 - 10 = f) 13 - 11 =
7 7 9 9

g) 15 - 12 = h) 8 - 1 =
4 4 3 3

i) 3 + 5 + 4 = j) 13 + 5 + 7 =
7 7 7 4 4 4

k) 11 + 6 - 2 = l) 8 + 3 - 5 =
5 5 5 4 4 4

Maths | Fractions | Add and Subtract Fractions | Lesson 1 of


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9: Add and Subtract Fractions Same Denominator
Add and Subtract Fractions with
the Same Denominator
To add and subtract fractions with the same denominators.

2) Fill in the missing numerators.

a) 5 + 2 = 13 b) 14 + 7 = 16 = 1 6
7 7 7 10 10 10 10

c) 8 + 2 + 2 = 3 d) 4 + 7 + 1 = 2 2
5 5 5 3 3 3 3

e) 11 - 2 = 8 f) 4 - 7 = 13 = 2 3
7 7 7 5 5 5 5

g) 19 - 3 - 8 = 1 1 h) 22 - 7 = 13 = 1 5
8 8 8 8 10 10 10 10

3) Write 3 addition calculations that would make this calculation correct.

5 2 24
+ =
7 7 7

a) b) c)

4) Write 3 addition calculations that would make this calculation correct.

5 2 13
- =
6 6 6

a) b) c)

Maths | Fractions | Add and Subtract Fractions | Lesson 1 of


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9: Add and Subtract Fractions Same Denominator
Add and Subtract Fractions with
the Same Denominator Answers
1)
9 1 4 1
a) 5 + 4 = = 1 b) 2 + 2 = = 1
8 8 8 8 3 3 3 3

21 1 12 2
c) 18 + 3 = = 5 d) 9 + 3 = = 2
4 4 4 4 5 5 5 5

2
e) 18 - 10 = 8 = 1 1 f) 13 - 11 =
7 7 7 7 9 9 9

3
g) 15 - 12 = h) 8 - 1 = 7 = 2 1
4 4 4 3 3 3 3

12 5 25 1
i) 3 + 5 + 4 = = 1 j) 13 + 5 + 7 = = 6
7 7 7 7 7 4 4 4 4 4

15 6 2 1
k) 11 + 6 - 2 = = 3 l) 8 + 3 - 5 = = 1 (or 1 )
5 5 5 5 4 4 4 4 4 2
2)

a) 5 + 8 = 13 b) 9 + 7 = 16 = 1 6
7 7 7 10 10 10 10

c) 8 + 5 + 2 = 3 d) 4 + 3 + 1 = 2 2
5 5 5 3 3 3 3

e) 11 - 3 = 8 f) 20 - 7 = 13 = 2 3
7 7 7 5 5 5 5

g) 19 - 3 - 7 = 9 = 1 1 h) 22 - 7 = 15 = 1 5
8 8 8 8 8 10 10 10 10

3) Multiple possible answers, for example:

a) 10 + 14 = 24 b) 12 + 12 = 24 c) 5 + 19 = 24
7 7 7 7 7 7 7 7 7

4) Multiple possible answers, for example:

a) 20 - 7 = 13 b) 15 - 2 = 13 c) 14 - 1 = 13
6 6 6 6 6 6 6 6 6

Maths | Fractions | Add and Subtract Fractions | Lesson 1 of


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9: Add and Subtract Fractions Same Denominator

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