Fraction Sense & Operations
Find three equivalent fractions or mixed numbers
| 1. | 6/15 |
2. | 7/4 |
Write each fraction in simplest form .
| 3. | 15/18 |
4. | 72/54 |
Write each mixed number as an improper fraction.
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Add or subtract . Simplify.
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Multiply . Answers greater than one may be written as a simplified improper fraction.
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Place in order from greatest to least .
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| 27. | If 1/7 of a number is 10, what is 1/5 of the number? |
Some sixth grade homeroom teachers surveyed students on
their favorite type of lunch desert: Little
Debbies or Hostess. The following table contains the results:
| Homeroom | Fraction of students who picked LITTLE DEBBIES |
Homeroom | Fraction of students who picked LITTLE DEBBIES |
| Landry | 5/6 | Giffin | 3/4 |
| Johnsen | 7/8 | Mangham | 9/10 |
| 28. | Of the students in Mr. Mangham’s class that
picked Little Debbies,2/3 were boys. What fraction of his total class were boys that chose Little Debbies? |
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| 29. | Of the students in Mrs. Landry’s class that
picked Little Debbies,3/8 said Swiss Cakes Rolls were their favorites. What fraction of her total class liked Swiss Cake Rolls the best? |
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| 30. | Dr. Giffin has 28 students in her class. How many
chose Little Debbies as their favorite? |
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| 31. | Ms. Johnsen has 24 students in her class. How
many chose Hostess as their favorite? |
Trick or Treating
Once upon a time in a land far, far away there were some 6th graders who went
trick or treating. They
each were trying to get as much candy as possible so that they would be hyper
during the next day in
math class . Little did they know that their mean math teacher, Mr. Mangham, was
going to confiscate all
the candy they brought to school. The following table provides a summary of
their trick or treating
activities:
| Student | Number of homes visited |
Number of homes that gave them candy |
MILES walked gathering candy |
Pounds of candy collected |
| Katy | 36 | 24 |  |
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| Turner | 25 | 20 |  |
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| Tariq | 30 | 25 |  |
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| Paige | 32 | 24 |  |
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| 32. | What fraction of the homes did not give Turner candy? | |
| 33. | Which 6th grader received candy from a higher fraction of homes: Turner or Tariq? | |
| 34. | 2/3 of the way through her walk, Katy had her
Halloween mask stolen by Kamy. What fraction of a mile did Katy have her mask? |
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| 35. | Tariq ate 9/20 of his total candy before arriving
back home. How many pounds of candy did Tariq eat before arriving home? |
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| 36. | According to the chart Paige collected three and
three-fourths pounds of candy. How many ounces did she collect (one pound = 16 ounces)? |
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| 37. | Paige kept track of what each of the 24 houses
gave her for candy. One-half of the homes gave her Snickers bars, one-fourth gave her Milky Ways, and one-eighth gave her Three Musketeers. How many houses gave her some other kind of candy? |
Mr. Mangham discovers the following items in his refrigerator one Saturday afternoon:
| ITEM | AMOUNT | ITEM | AMOUNT |
| Pumpkin Pie | 5/6 of a whole | Ketchup |  jars |
| Apple |  |
Little Debbies | 12 |
| PB&J sandwich | 6 whole sandwiches | Orange Juice | 4/5 of a liter |
| Macaroni & Cheese |  pounds |
Mint Chocolate Chip Ice cream |
 containers |
| 38. | If he eats 1/2 of the remaining apples, how many apples did he eat? | |
| 39. | If he uses 1/5 of the ketchup, how much ketchup did he use? | |
| 40. | If he eats 3/8 of the ice cream, how much is LEFT? | |
| 41. | If he eats 7/4 of the Macaroni & Cheese, how many pounds did he eat? | |
| 42. | If Ms. Moore has three times the amount of
pumpkin pies, how many pumpkin pies does she have? |
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Solve this problem three ways: one with pictures,
one with the distributive property , and one the normal mathematical way. Show all work on graph paper . |
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