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# Adding Fractions with Unlike Denominators - PowerPoint PPT Presentation

Adding Fractions with Unlike Denominators. 1. 3. 1. 1. 1. 5. 5. 5. 1. 1. 1. 1. 15. 15. 15. 15. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.

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with

Unlike Denominators

3

1

1

1

5

5

5

1

1

1

1

15

15

15

15

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

15

Adding Fractions with Unlike Denominators

+

1

6

6

1

4

1

1

1

1

1

1

1

1

1

1

1

1

1

1

12

12

12

12

12

12

12

12

12

12

12

12

12

12

Adding Fractions with Unlike Denominators

+

=

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

4

4

4

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

12

Step 3: Add the numerators. Denominator remains.

1

6

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

LCD: 12

3

9

3

×

=

3

12

4

?

1

2

2

×

=

6

2

12

?

+

+

11

12

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

1

3

Step 3: Add the numerators. Denominator remains.

1

1

1

1

1

1

1

1

9

9

9

9

9

9

9

9

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

LCD: 9

3

3

1

×

=

3

9

3

?

1

9

+

+

4

9

Step 1: Find the LCD of the fractions.

1

2

Step 2: Rename the fractions using the LCD.

1

1

5

5

Step 3: Add the numerators. Denominator remains.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

Step 4: Simplify, if necessary.

1

1

1

1

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

10

Adding Fractions with Unlike Denominators

LCD: 10

2

4

2

×

=

2

10

5

?

1

5

5

×

=

2

5

10

?

+

+

9

10

Step 1: Find the LCD of the fractions.

2

Step 2: Rename the fractions using the LCD.

1

1

3

3

1

1

1

1

1

1

1

1

6

6

6

6

6

6

6

6

Step 3: Add the numerators. Denominator remains.

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

LCD: 6

3

3

1

×

=

3

6

2

?

1

+

6

+

2

2

4

÷

=

2

3

6

GCF: 2

Step 1: Find the LCD of the fractions.

1

2

1

1

3

3

Step 2: Rename the fractions using the LCD.

Step 3: Add the numerators. Denominator remains.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

6

6

6

6

6

6

6

6

6

6

6

6

6

6

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

LCD: 6

3

3

1

×

=

3

6

2

?

2

2

4

×

=

3

2

6

?

+

+

7

1

1

=

6

6

1 Whole

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

Step 3: Add the numerators. Denominator remains.

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

3

3

1

×

=

3

12

4

?

LCD: 12

2

6

3

×

=

2

12

6

+

?

3

3

9

÷

=

GCF: 3

12

3

4

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

Step 3: Add the numerators. Denominator remains.

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

7

7

1

×

=

7

21

3

?

LCD: 21

3

6

2

×

=

3

21

7

+

?

13

21

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

Step 3: Add the numerators. Denominator remains.

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

4

9

LCD: 9

3

3

1

×

=

3

9

3

+

?

7

9

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

Step 3: Add the numerators. Denominator remains.

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

3

3

1

×

=

3

24

8

?

LCD: 24

4

12

3

×

=

4

24

6

+

?

3

5

15

÷

=

GCF: 3

24

3

8

Step 1: Find the LCD of the fractions.

Step 2: Rename the fractions using the LCD.

Step 3: Add the numerators. Denominator remains.

Step 4: Simplify, if necessary.

Adding Fractions with Unlike Denominators

5

10

2

×

=

5

15

3

?

LCD: 15

3

12

4

×

=

3

15

5

+

?

7

22

1

=

15

15