Fractions

Like Denominators

100

2/7 +3/7=

5/7

200

9/10 - 3/10=

6/10

300

5/12 + 11/12 =

16/12

OR

1 4/12 

OR

1 1/3

400

x/8 +3/8 = 7/8

What is x?

x= 4

500

14/15 - 4/15 -2/15=

8/15

Unlike Denominators

100

1/2 + 1/4

2/4 + 1/4 = 3/4

200

2/3 -1/6

4/6 - 1/6= 3/6= 1/2

300

What is the least Common Denominator (LCD) needed to solve  1/4 + 2/5?

20

5/20 +8/20 = 13/20

400

3/4 + 1/3

9/12 + 4/12= 13/12 or 1 1/12

500

5/6 - 3/8

20/24 -9/24 = 11/24

Mixed Numbers

100

1 1/5 +2 3/5

3 3/5

200

5 3/4 - 2 1/4 

3 2/4 OR 3 1/2

300

1 1/2 + 1 2/3

1 3/6 + 1 4/6 =

 2 7/6= 

3 1/6

400

4 - 1 1/3

3 3/3- 1 1/3 =

2 2/3

500

3 1/4 - 1 3/4 

2 5/4 - 1 3/4= 1 2/4 OR 1 1/2

Word Problems

100

You eat 2/8 of a pizza and your friend eats 3/8. How much pizza did you eat in total?

2/8 + 3/8 = 5/8

200

A recipe calls for 3/4 cup of sugar. You have 1/4 cup. How much more do you need?

3/4-1/4= 2/4 OR 1/2 

300

Sarah ran 1/2 a mile on Monday and 1/3 of a mile on Tuesday. How far did she run in total?

1/2 + 1/3 =

3/6 + 2/6 = 5/6

400

A wooden plank is 5 feet long. You cut off 1 1/2 feet. How long is the plank now?

5 - 1 1/2=

4 2/2 - 1 1/2=

3 1/2

500

A bucket is 2/3 full of water. You pour out 1/6 of the bucket, then add 1/2 back in. What fraction of the bucket is full now?

2/3 - 1/6 + 1/2=

4/6 - 1/6 + 3/6 =

6/6= 1 

Challenge Round

100

Simplify the sum of 50/100 + 25/100

75/100 =

3/4

200

Which is larger?

1/2 + 1/3  OR 7/12 + 2/12

1/2 + 1/3 = 6/12 + 4/12 = 10/12

7/12 + 2/12 = 9/12

300

Add the three fractions

1/2 + 1/4 + 1/8 =

4/8 + 2/8 + 1/8 = 7/8

400

1/2 - x/x = 2/6

1/2 - x/x = 2/6

3/6 - 1/6 = 2/6

500

10 1/5 - 4 4/5

9 6/5 - 4 4/5 = 5 2/5