Fraction Fun
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Word Problems
100

What does the numerator of a fraction tell you?  What does the denominator of a fraction tell you?

The numerator tells you the number of pieces you are looking at (or are shaded in) and the denominator tells you how many pieces there are in all.

100

 1/8    and    2/6

What is the least common denominator?

24

8: 8, 16, 24

6: 6, 12, 18, 24

100

What is 16/5 as a mixed number?

3 1/5

100

4  1/2 + 1  2/3 = 

37/6 + 6 1/6

100

Mark and his friends order two pizzas of the same size. 

  • The first pizza is cut into 6 slices of equal size. 

  • The second pizza is cut into 4 slices of equal size. 

Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison using > or < in your explanation. 

Mark is correct because 1/6 + 1/4 = 5/12 which is greater than 2/6. 5/12 >2/6.

200

What is a mixed number?

A number that has a mix of a whole number and a fraction.

200

4/5 + 1/4 = 5/9

True or False?  Explain.

It is false because you can't add unlike denominators.  4/5 + 1/4 = 21/20 or 1  1/20

200
How many wholes are in 13/4?

3 wholes because 4/4 + 4/4 + 4/4 is 12/4.  One more whole (4/4) is too many).

200

1/3 less than 5

14/3 = 4 2/3

200

Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats, and 1/2 cup raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?

2 1/6

300

How do you know when a fraction is improper?

The numerator (top number) is bigger than the denominator (bottom number).

300
What are the steps of finding common denominators?

First, find the least common multiple of the denominators.  Then, make equivalent fractions with the new denominator by multiplying the numerators (top) by the same number you multiplied the denominators by (the bottom).

300

What is 3  2/5 as an improper fraction?

17/5

300

5 2/3 - 2 4/6

18/6 = 3 0/6

300

Tara baked 6 1/2 dozen cookies.  She sold 3 2/6 dozen of the cookies she made.  How many dozens of cookies does Tara have remaining?

3 1/6

400

Draw a model that shows 2 5/6.


Circles or fraction bars cut into 6 with 6/6 +6/6 + 5/6 shaded.

400

How do having common denominators help you?

They make it easier to add, subtract and compare when the wholes are not cut into the same size pieces.

400

The fraction bar is a symbol for which operation?

Divsion

400

1 3/7 more than 2 3/5

91/35 = 4 1/35

400

Each student in a class plays one of three sports: soccer, volleyball, or basketball. 

  • 3/5 of the number of students play soccer 

  • 1/4 of the number of students play volleyball

What fraction of the number of students play basketball?


12/20 + 5/20 = 17/20 = 20/20 - 17/20 = 3/20
500

Kratos ordered a large pizza pie for dinner and ate 1/2 of the pie.  Melany ordered a small pizza pie and ate 1/2 of her pie.  Later on the phone, Melany said, "We each ate 1/2 the pie, so we ate the same amount!" Kratos disagreed and said he ate more.  

Which statement is correct and why?

Kratos is correct because the wholes are not the same size.  Therefore 1/2 of Kratos' pie can't be equal to 1/2 of Melany's pie.

500
The least common multiple of 3 and 4 is 12.  What are 2 other common multiples?

24 and 36

500

Jenna needed 2  1/2 cups of oil for a recipe.  She only had a measuring cup for 1/2.  How many times did she need to fill her measuring cup to complete the recipe?

5 times because 2 x 2 = 4, +1/2 more equals 5/2.
500

Samantha bought 4 1/4 pounds of strawberries and 2 1/2 pounds of raspberries.  Then, she ate 1  1/8 pounds of her berry mix.  How many pounds of berries remain?

45/8 = 5 

500

Kim's class voted on a location for a field trip. 

  • 3/4 of the class voted for the museum 

  • 1/8 of the class voted for the zoo 

The rest of the class voted for the nature park. 

What Fraction of the class voted for the nature park? 

3/4 + 1/8 = 7/8 

8/8 - 7/8 = 1/8