IXL | Add 3 fractions or mixed numbers using properties of addition | 5th grade math

Add. Write your answer as a whole number or as a proper fraction or mixed number in simplest form.

Hint: Use properties of addition to help you solve the problem.

1

9

+

4

9

+

1

4

=

ref_doc_title.

Learn with an example

question

Add. Write your answer as a whole number or as a proper fraction or mixed number in simplest form.

Hint: Use properties of addition to help you solve the problem.

2

3

+

2

7

+

1

3

=

key idea

Commutative property of addition
Changing the order of two addends does not change the sum. For example,
4
+
5
=
5
+
4
.

Associative property of addition
Changing how addends are grouped with parentheses does not change the sum. For example,
(
1
+
2
)
+
3
=
1
+
(
2
+
3
)
.

solution

Notice that two of the fractions have the same denominator.

2

3

+

2

7

+

1

3

It is easier to add fractions with the same denominator, so use the commutative property to move them next to each other.

2

3

+

2

7

+

1

3

=

2

3

+

1

3

+

2

7

Use the associative property to group the fractions with the same denominator together.

2

3

+

1

3

+

2

7

=

2

3

+

1

3

+

2

7

Add the fractions inside the parentheses. Then, simplify.

2

3

+

1

3

+

2

7

=

3

3

+

2

7

=

1

+

2

7

Now, add.

1

+

2

7

=

2

7

The sum is

2

7

.

Looking for more? Try these:

Lesson: The commutative property

Lesson: The associative property

Lesson: Adding mixed numbers

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.7Add using properties

Add 3 or more fractions with unlike denominators

L.8Add 3 or more fractions with unlike denominators

Add mixed numbers with unlike denominators

Lesson: The commutative property

Lesson: The associative property

Lesson: Adding mixed numbers