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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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Presentation Transcript

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

+

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

+

=

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

5

10

2

×

=

5

15

3

?

LCD: 15

3

12

4

×

=

3

15

5

+

?

7

22

1

=

15

15