Adding Fractions
Subtracting Fractions
Word Problems
Greater Than or Less Than One Without Solving
100

What is 

2/3 + 1/4

11/12

100

7/8 - 3/8

5/8

100

1 17/24 pounds of "jolly ranchers"

100

Is the result greater than or less than 1?

1/6 + 2/9

less  than 

200

2/5 + 1/2 =

9/10

200

1 5/6 - 3/4

1 1/12

200

Wendy and Alison swim two days in a row. On day one, Wendy swims 4/6 of a km and on day two she swims 7/10 of km. Alison swims 2/3 of a km and on day two she swims 7/9 of a km. Explain in words how you know which girl swam farther. 

I noticed that Wendy and Alison swam the same amount the first day, because 4/6 and 2/3 are equivalent fractions. Then I looked at day two, and so that it proves Alison swam further, because 7/9 is 2 pieces away from being a whole, but 7/10 is three pieces away from being a whole, and I know that ninths is a larger unit that tenths. 

200

3/4 + 2/3

greater

300

2 1/6 + 1 2/3

3 5/6 or 3 15/18

300

10/12 - 5/8

6/24

300

I noticed that Teddy and Pepper ran the same amount on Monday , because 3/6 and 6/12  are both  equivalent fractions to 1/2. Then I looked at day Tuesday, and that proves Pepper ran further, because I know that fourths are a larger unit than sixths. This is how I know Pepper is correct.

300

 5/6 - 1/3

less than one 
400

12 2/9 + 5 1/27

17 7/27

400

4 6/8 - 2 2/4

2 2/8

400

The Carter family must drive 8 hours to visit their grandparents. They drive 3 1/4 hours before stopping for lunch, and take a break to stretch their legs after another 1 1/2 hours. How many more hours will it take the Carter family to reach their destination after their stretch break?

3 1/4

400

1 7/8 - 1/4

Greater than one

500

3 1/18 + 9 2/9 + 18 1/3

30 11/18

500

3 1/4 - 1 2/3

1 7/12

500

The Smith family must practice their dance routine for  10 hours to reach their goal.  They dance 4 2/5 hours before taking a break. Then then dance 2 and 1/4 hours before stopping for the day. How many more hours will it take the Smith family to practice to reach their goal?

1 7/20 more hours 

500

1 1/9 -  7/10

Less than 1

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