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Presentation Transcript

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

15

15

15

15

15

15

Adding Fractions with Unlike Denominators

+


1

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


1

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


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