Adding Fractions with Unlike Denominators

Adding Fractions with Unlike Denominators

100

1/4 + 2/3 = Answer in simplest form.

3/12 + 8/12 = 11/12

200

True or False. 4/9 + 1/6 = 10/18

False. 8/18 + 3/18 = 11/18

300

1/2 + 3/16 = Answer in simplest form.

8/16 + 3/16 =  11/16

400

1/2 + 1/3 + 1/4 = Answer in simplest form.

6/12 + 4/12 + 3/12 = 13/12 = 1 & 1/12

500

3/14 + 1/3 = Answer in simplest form.

9/42 + 14/42 =  23/42

Least Common Denominator

100

1/2 & 3/5

Least Common Denominator = 10

200

5/12 & 2/9

Least Common Denominator = 36

300

1/6 & 4/21

Least Common Denominator = 42

400

9/10 & 5/6 & 2/3

Least Common Denominator = 30

500

11/14 & 17/42 & 2/3

Least Common Denominator = 42

Simplify

100

Simplify: 12/15

4/5

200

Simplify: 8/16

1/2

300

Simplify: 7/56

1/8

400

Simplify: 28/36

7/9

500

Simplify: 15/40

3/8

Miscellaneous

100

If the denominators are the same for two fractions, would you have to multiply one by the other

No, only multiply if denominators are unlike

200

The first thing you do when you are adding or subtracting fractions with unlike denominators.

Make the denominators the same.

300

Add  3/4 & 1/5

15/20 + 4/20 = 19/20 

400

TWO ways you can get two fractions with unlike denominators to have the same denominator.

1. Butterfly Method: Multiply the two denominators by one another 2. Find Least Common Denominator 

500

The last step in the process of adding  fractions. AFTER adding.

Simplify if possible.