Chapter 8-Fractions

  1. A chef is arranging 48 strawberries in an array on a tray. Find all the factor pairs of 48 to see what kind of arrays can be made. Draw and label one of the arrays.
  2. Mrs. Johnsen has 12 pictures to put on the bulletin board in her classroom. List the factor pairs to find how many different ways Mrs. Johnsen can arrange the pictures in an array.
  3. Jeslyn is counting aloud by six. Will she say the number 73? Why or why not?
  4. Myles is at the park. He counts 73 kites. Write the factors of 73. Tell whether it is prime, composite, or neither (explain why).
  5. The numbers 17, 31, and 37 are prime numbers. Reversing the order of the digits to make 71, 13, and 73 also result in prime numbers. Does reversing the order of the digits of a 2-digit prime number always result in a prime number? Explain.
  6. Alyssa is planting vegetables in her garden. She has 20 seeds. Determine whether 20 is a prime or composite number. If it is composite, list all of the ways Alyssa can arrange the seeds in even rows.
  7. There were 10 baked goods in a basket. Four of them were sold. Write a fraction to show the part of the baked goods that were not sold. Then write an equivalent fraction to this number.
  8. A jar has marbles in it. Three-tenths of the marbles are red. Five-tenths of the marbles are blue. Two tenths of the marbles are green. Which of these fractions is equivalent to four-eighths?
  9. Terry lives mile from the school. Ashley lives mile from the school. Do they live the same distance from the school? Explain.
  10. Suppose 10 deer are traveling together. If 4 of them are does and 3 are fawns, what fraction represents the number of bucks? Write another equivalent fraction that represents this number.
  11. Johnny has 4 juice boxes. Three are grape flavored. Write two equivalent fractions that describe the part of the juice boxes that is grape.
  12. A roller coaster has 10 cars. Six of the cars are yellow. Write two equivalent fractions for the part of the cars that is yellow.
  13. A box contains 4 red pencils are 6 black pencils. What fraction of the pencils are red? Write two equivalent fractions.
  14. There are 12 ingredients in a bread recipe. Kierra needs to buy 8 out of 12, or , of the ingredients. Write in simplest form.
  15. Myles has made 4 out of the 12 recipes in his cookbook. What fraction of the recipes has he made? Write the answer as a fraction in simplest form.
  16. Six of the 10 marbles in a bag are yellow. What fraction of the marbles is yellow? Write the answer as a fraction in simplest form.
  17. Nathan found 12 golf balls. Six of them are yellow. What fraction of the golf balls are yellow? Write the fraction in its simplest form.
  18. Owen had 12 marbles. After he gave 2 marbles to Stormy, he had of his marbles left. What fraction of marbles did Owen give away? Write in simplest form.
  19. Eli has 8 kittens. Two are white. What fractions of kittens are not white? Write in simplest form.
  20. Caleb ate of the carrots in the bag. Latrell ate of the carrots in the bag. Compare the amounts of carrots they each ate.
  21. of Nate’s sandwich is turkey. of his sandwich is ham. Which meat makes up the most of his sandwich?
  22. Hannah has three cans of paint that are the same size. The can of blue paint is full. The can of green paint is full, and the can of yellow paint is full. Order the paint colors from least to greatest amounts.
  23. Johnny has two glue sticks that are partially used. One has left, and one has left. Which glue stick has more glue?
  24. A recipe for granola uses cup of raisins and cup of dried cranberries. Is there a greater amount of raisins or cranberries?
  25. A recipe calls for ½ teaspoon of salt and ¼ teaspoon of baking soda. Which fraction is greater?
  26. Selena ran ¾ mile on Saturday and ½ mile on Sunday. On which day did Selena run farther?
  27. Cole has completed of his homework. Alyssa has finished of her homework. Who is closer to being finished with their homework?
  28. Jeslyn has an hour to get ready for school. She spends of that time getting dressed. She spends of that time eating breakfast. Does Jeslyn spend more time getting dressed or eating breakfast?
  29. Johnny eats of a pizza. Later he eats of the same pizza. Did he eat more the first or second time?
  30. Selena used fraction tiles to represent. What is a fraction that is equivalent to her amount?
  31. Timothy baked cookies for a snack. His family ate of the cookies. What fraction is equivalent to the amount of cookies the family ate?
  32. Johnny needs cup of raisins and cup of almonds to make some trail mix. Are there more raisins or almonds in the trail mix?
  33. What is a fraction that is equivalent to the model below? Explain why it is equivalent.

XXXX
  1. Nathan looked at the numbers below and said that the numbers are multiples of both 3 and 4. Is he right? Why or why not?12, 48, 72, 84
  2. The table below shows the amount of time that Jeslyn spent on different activities today.

Activity / Time (in hours)
Eating breakfast /
Brushing her teeth /
Getting dressed /

Which activity took longer, eating breakfast or getting dressed?

  1. Ashley is taking piano lessons. Her piano teacher tells her to practice the piano for of an hour. She spent of an hour practicing. Did she practice long enough?
  2. Jasmine and Latrell are selling boxes of candy bars as a fundraiser. Jasmine has sold of her box of candy bars and Latrell has sold of his box. Who has sold a greater fraction of boxes of candy?
  3. The manager at Kroger arranged 6 rows of cans. He put 1 can in the first row, 3 cans in the second row, and 5 cans in the third row. The manager continued to add two cans to each new row. How many cans did the manager put in the sixth row? How many cans does he have altogether?
  4. Alyssa saw birds, fish, and bears at the zoo. One-half of the animals did not have feathers or fur. One-third of the animals have four legs. There were one-sixth of the animals left. What fraction of the animals were birds?
  5. Jeslyn ran six-tenths of a mile at a track race. Hannah ran of a mile. Who ran farther? Explain.
  6. Mrs. Johnsen has 64 pens. Yesterday she had half of that amount plus 4. How many pens did she have?
  7. There are bananas, pears, and peaches in a bag. One-half of the fruits are pears. One-eighth are bananas. Are there more pears of bananas?