Question 1:

Amanda worked part-time in the restaurant across the street. Her usual shift is 2 2/3 hours per day. But since she needed to go to the store, she left work 1 3/4 hours earlier on Tuesday and Wednesday. How much did she work on Tuesday and Wednesday?

Question 2:

Gordon had an out-of-town training last week. Before the training, he noticed that his car was 8/9 full of gasoline. After the training, the gas tank was 7/8 full. What fraction of the gasoline in the car was used during the trip?

Question 3:

Grandma made an blueberry tart. Sarah and her brother Eddie finished 5/6 of it. Then, five friends came over and shared the leftover tart. How much of the tart did each friend eat?

Question 4:

Karen squeezed 11 5/8 oz of juice into a pitcher that can hold 16 1/3 oz. Molly poured 6 7/8 oz of juice out. How much juice was left in the pitcher?

Question 5:

There are 16 desks in a classroom with 7 books per desk. How many books are there altogether? If 3/5 of these books are textbooks, how many textbooks would there be? Give answer in fraction or whole number.

Question 6:

Mark harvested 837 oranges which will be placed into small baskets. Each small basket can hold 16 oranges. The number of small baskets used will be between which two whole numbers?

Question 7:

On the first week, the shopkeeper completed 1/7 of the store's annual sales which needed to be finished within 3 weeks. During the second week, she completed another 4/5 of the sales. What fraction of the sales did she finish during the first and second weeks? What fraction of the sales does she still need to finish in the third week?

Question 8:

Randy usually rides his skateboard about 3 4/5 hours every day. The distance between the post office and department store is 5/6 mile. Yesterday the skateboard had a problem and Randy only rode his skateboard 4/7 of the way from post office to the department store and walked the rest of the way. How far did he ride his skateboard?

Question 9:

Angela used 5 packages of spaghetti to make dinner for 22 guests. How much did each guest have? Give your answer in fractions.

Question 10:

The serving size for the cookies that Sarah likes to eat for lunch is 1/3 cup. How many servings are there in a box that holds 48 cups?

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Answer Keys

Question 1: 1 10/12

Question 2: 1/72

Question 3: 1/30

Question 4: 4 3/4

Question 5: 67

Question 6: 52 and 53

Question 7: 33/35, 2/35

Question 8: 20/21 mile

Question 9: 5/22

Question 10: 144

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Solutions

Question 1
Amanda left work 1 3/4 hours earlier, so she worked for 2 2/3 - 1 3/4 hours each day. This is equal to 2 8/12 - 1 9/12 = 0 11/12 hours per day. Therefore, Amanda worked 0 11/12 * 2 = 1 10/12 hours on Tuesday and Wednesday.

Question 2
To find the fraction of gasoline used during the trip, we can subtract the final fraction from the initial fraction: 8/9 - 7/8 - = (64/72) -(63/72) = 1/72.

Question 3
To find out how much tart each friend ate, we first need to figure out how much of the tart was left after Sarah and Eddie ate 5/6 of it. To do this, we can subtract 5/6 from 1 (the whole tart) to get 1/6. This means that 1/6 of the tart was left for the five friends to share. To divide this equally among the five friends, we can divide 1/6 by 5. This gives us 1/30, which means that each friend ate 1/30 of the tart.

Question 4
Step 1: Convert the mixed numbers to improper fractions 11 5/8 = (8 * 11 + 5)/8 = 93/8 16 1/3 = (3 * 16 + 1)/3 = 49/3 Step 2: Subtract the amount of juice poured out from the initial amount 93/8 - 55/8 = 38/8 = 4 3/4 Step 3: Convert the answer back to a mixed number 4 3/4 oz of juice were left in the pitcher.

Question 5
To find the total number of books, we can multiply the number of desks (16) by the number of books per desk (7), which gives us 112 books altogether. To find the number of textbooks, we can multiply the total number of books (112) by 3/5 (or 0.6), which gives us 67.2 textbooks. Since we cannot have a fraction of a textbook, we can round this answer to the nearest whole number, which gives us 67 textbooks. Therefore, there are 67 textbooks in the classroom.

Question 6
Divide the total number of oranges (837) by the capacity of each small basket (16) to get the number of small baskets. 837/16 = 52 5/16 Therefore, the number of small baskets used lies between whole numbers 52 and 53.

Question 7
To find out what fraction of the sales the shopkeeper finished during the first and second weeks, we need to add the fractions representing the sales completed in each week: First week: 1/7, Second week: 4/5. To add these fractions, we need a common denominator, which in this case is 35: (5/35) + (28/35). Now, we can add the numerators: (5 + 28)/35 = 33/35. So, during the first and second weeks, the shopkeeper completed 33/35 of the sales.
Now, we need to find out what fraction of the sales the shopkeeper still needs to finish in the third week. Since the entire annual sales target is 1, or 100%, we can subtract the sales completed in the first and second weeks from the total sales target: 1 - (33/35). To subtract these fractions, we need a common denominator, which in this case is 35: (35/35) - (33/35). Now, we can subtract the numerators: (35 - 33)/35 = 2/35. So, the shopkeeper still needs to finish 2/35 of the sales in the third week.

Question 8
20/21 mile

Question 9
To solve for the answer, we need to divide the number of packages used by the number of guests that were served. Thus, Angela used 5/22 packages of spaghetti.

Question 10
There are \(48 \div 0.33333\) servings in a 48-cup cookie box. This gives us \(144\) servings.