Worksheet Test

Name: ____ Date: ___

Instructions:

• Read and understand each question carefully before answering.
• Show all your solutions and computations on a separate sheet of paper.
• Write your answers in simplest form.

Part 1: Multiple Choice

Choose the letter of the best answer.

1. What is the quotient of 2/3 ÷ 4/5?

   • A. 5/6
   • B. 3/5
   • C. 10/12
   • D. 8/15

2. What is the reciprocal of 2/3?

   • A. 2/3
   • B. 3/2
   • C. 1/2
   • D. 3/4

3. What is the quotient of 5/7 ÷ 2/3?

   • A. 15/14
   • B. 15/21
   • C. 6/7
   • D. 7/6

4. What is the reciprocal of 5/6?

   • A. 6/5
   • B. 1/5
   • C. 5/1
   • D. 3/2

5. What is the quotient of 1/2 ÷ 3/4?

   • A. 2/3
   • B. 2/5
   • C. 4/3
   • D. 3/2

6. What is the reciprocal of 3/5?

   • A. 5/3
   • B. 1/5
   • C. 3/1
   • D. 2/3

7. What is the quotient of 2/5 ÷ 3/4?

   • A. 8/15
   • B. 3/10
   • C. 5/6
   • D. 2/3

8. What is the reciprocal of 1/2?

   • A. 2
   • B. 1/4
   • C. 1/2
   • D. 1

9. What is the quotient of 3/4 ÷ 5/6?

   • A. 18/20
   • B. 15/20
   • C. 9/10
   • D. 7/10

10. What is the reciprocal of 4/5?

    • A. 1/4
    • B. 5/1
    • C. 5/4
    • D. 4/5

Part 2: Problem Solving

Solve the following word problems.

1. A recipe for a cake requires 3/4 cup of sugar. If you want to make only 1/2 of the recipe, how much sugar do you need?

2. A group of friends shared 4/5 of a pizza. If each friend received 1/4 of the pizza, how many friends were there in the group?

3. A tank can hold 7/8 of a gallon of water. If there are 4 tanks, how many gallons of water can they hold altogether?

4. A recipe for a milkshake calls for 1/2 cup of milk. If you want to make 3/4 of the recipe, how much milk do you need?

5. A farmer has 2/3 of a field planted with wheat. If the planted area covers 3/4 of an acre, what is the total area of the field?

6. A recipe for a smoothie requires 2/3 cup of yogurt. If you want to make only 1/4 of the recipe, how much yogurt do you need?

7. A tank can hold 5/6 of a gallon of gasoline. If there are 3 tanks, how many gallons of gasoline can they hold altogether?

8. A recipe for a salad needs 3/4 cup of dressing. If you want to make only 1/3 of the recipe, how much dressing do you need?

9. A pizza parlor cut a 16-inch pizza into 8 equal slices. If a slice has 1/4 of the pizza, what is the area of the pizza?

10. A recipe for a smoothie needs 2/3 cup of strawberries. If you want to make 1 1/2 of the recipe, how much strawberries do you need?

Part 3: True or False

Write T if the statement is true and F if it is false.

1. When dividing fractions, you need to flip the divisor and multiply.
2. The quotient of two fractions is always smaller than the dividend.
3. The reciprocal of a fraction is always smaller than the fraction itself.
4. The product of two fractions is always smaller than the dividend.
5. The quotient of two fractions can be greater than, less than, or equal to either of the fractions.
6. The reciprocal of a fraction is the fraction itself.
7. Fractions can be divided only if their denominators are the same.
8. When dividing fractions, you can cancel out the common factors of the numerators and denominators.
9. When dividing fractions, you need to cross-multiply the numerators and denominators.
10. The quotient of two fractions is always a fraction.