Question 1:

Joshua went to the candy store and saw that there was one jar with 48 pieces of chocolate. He asked his grandma to buy 16 of these. What fraction of the chocolates did they buy? Write your answer as a fraction.

Question 2:

If a recipe calls for 5 tablespoons of sugar to make 20 cookies, how many tablespoons of sugar are needed to make 15 cookies?

Question 3:

John made 5 1/3 servings of chocolate cake for his friend Emily. If his brother Tom ate 2 1/3 servings, how many servings of cake are left? Give your answer as a fraction.

Question 4:

If John added 6/9 of a quart of tomato sauce and Peter added 2/9 of a quart of water, how many quarts of sauce will they be able to make?

Question 5:

There were 100 apples in the basket. If one tenth of the apples were rotten, what is the fraction of the apples that are still fresh?

Question 6:

Ricky's mother bought 5 bags of cornmeal which weighs 12 lbs each. She will use 8 lbs to make cornbread for dinner. What fraction of the bags of cornmeal will she use to make cornbread? Write your answer as a fraction.

Question 7:

Isabella bought 50 lbs of peaches, 20 lbs of which was used in making Peach Cobbler. What fraction of the peaches was used for Peach Cobbler? Write your answer as a fraction.

Question 8:

If Sarah brought her bag of marbles and has 50 marbles, with 15 of them being yellow, what fraction of Sarah's marbles is yellow? Write your answer as a fraction.

Question 9:

Amy saw 5 recipe books and each book had 12 recipes. She thought that 3 of these books would be enough. What fraction of the recipe books did she borrow? Write your answer as a fraction.

Question 10:

If the group hiked for 2/6 hours and picnicked for 1/6 hours, how much time did they spend at the park? Give your answer as a fraction.

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Answer Keys

Question 1: 1/3

Question 2: 3.75

Question 3: 3

Question 4: 8/9

Question 5: 9/10

Question 6: 2/15

Question 7: 2/5

Question 8: 3/10

Question 9: 3/5

Question 10: 1/2

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Solutions

Question 1
To find the fraction of chocolates Joshua and his grandmother bought, we need to divide the number of chocolates they bought by the total number of chocolates in the jar. They bought 16 chocolates out of 48, which can be simplified to 1/3. Therefore, the fraction of chocolates they bought is 1/3.

Question 2
To find out how many tablespoons of sugar are needed to make 15 cookies, we need to use proportion. We can set up the proportion: 5/20 = x/15, where x is the unknown amount of tablespoons of sugar needed. To solve for x, we can cross multiply and get 20x = 75. Finally, we can divide both sides by 20 and get x = 3.75. Therefore, 3.75 tablespoons of sugar are needed to make 15 cookies.

Question 3
To solve the problem, first, we need to add the mixed numbers and fractions. We have 5 whole cakes and 1/3 of another cake. Similarly, Tom ate 2 whole cakes and 1/3 of another cake. Now, we need to subtract the amount of cake that Tom ate from the total amount of cake that John made. We have: 5 1/3 - 2 1/3 = 3. Therefore, there are 3 servings of cake left.

Question 4
To add the fractions, first find a common denominator. In this case, the common denominator is 9. So, 6/9 + 2/9 is equal to (6+2)/9, which equals 8/9. Therefore, John and Peter will be able to make 8/9 of a quart of sauce.

Question 5
One tenth of the apples are rotten, which means nine tenths of the apples are still fresh. So the fraction of the apples that are still fresh is 9/10.

Question 6
Step 1: Find the total weight of cornmeal purchased, which is 5 bags * 12 lbs per bag = <<5*12=60>>60 lbs. Step 2: Determine the weight of cornmeal that will be used to make cornbread, which is 8 lbs. Step 3: To find the fraction of bags used, divide the weight of cornmeal used by the total weight of cornmeal purchased. Therefore, 8 lbs / 60 lbs = 4/30, which simplifies to 2/15. Step 4: The fraction of bags used to make cornbread is 2/15.

Question 7
To find the fraction of peaches used for Peach Cobbler, we need to divide the amount used for the cobbler by the total amount of peaches. This can be written as a fraction: 20/50 Simplifying the fraction by dividing both the numerator and denominator by 10, we get: 2/5 Therefore, 2/5 of the peaches were used for Peach Cobbler.

Question 8
To find the fraction of Sarah's marbles that are yellow, divide the number of yellow marbles (15) by the total number of marbles (50). This can be written as a fraction: 15/50. However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 5. The simplified fraction is 3/10, so the answer is: 3/10.

Question 9
3/5

Question 10
To find the answer, we simply add the two fractions together. 2/6 + 1/6 = 3/6 or 1/2. Therefore, the group spent 1/2 hour at the park.