Equal Shares

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Answer Key & Explanations

Equal Shares · Grade 2 · Worksheet 3

1. A rectangular garden is divided into 4 equal sections. If the total area of the garden is 48 square feet, what is the area of each section? Answer: 12 Solution: We are told that a rectangular garden is divided into 4 equal sections. The total area of the garden is 48 square feet.
   Full step-by-step solution

   We are told that a rectangular garden is divided into 4 equal sections. The total area of the garden is 48 square feet. Step 1: Understand the problem. If the garden is divided into 4 equal sections, then the total area is the sum of the areas of the 4 sections. Step 2: Let the area of one section be A. Then: 4 × A = total area 4 × A = 48 Step 3: Solve for A. Divide both sides by 4: A = 48 / 4 Step 4: Perform the division. 48 ÷ 4 = 12 Step 5: Conclusion. Each section has an area of 12 square feet. Final answer: 12

2. A rectangular garden is divided into 4 equal parts. If the whole garden has 24 flowers total, how many flowers are in each equal part? Answer: 6 Solution: We have a rectangular garden divided into 4 equal parts. The total number of flowers in the whole garden is 24. We need to find how many flowers are in each equal part.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangular garden divided into 4 equal parts. The total number of flowers in the whole garden is 24. We need to find how many flowers are in each equal part. Step 2: Determine the operation. Since the garden is divided equally into 4 parts, the total number of flowers must be shared equally among these 4 parts. This means we divide the total flowers by the number of parts. Step 3: Write the division. Total flowers = 24 Number of equal parts = 4 So, flowers in each part = 24 ÷ 4 Step 4: Perform the calculation. 24 ÷ 4 = 6 Step 5: Interpret the result. Each of the 4 equal parts contains 6 flowers. Step 6: Check the answer. If each part has 6 flowers, then 4 parts have: 6 × 4 = 24 flowers, which matches the total given. Final answer: 6

3. Liam has 24 marbles. He wants to share them equally with his 3 friends. How many marbles will each person get? Answer: 6 Solution: Liam is sharing with his 3 friends, so the total number of people is: Liam + 3 friends = 1 + 3 = 4 people. Identify the total number of marbles. Liam has 24 marbles.
   Full step-by-step solution

   Let's break this problem down step by step. Step 1: Understand the total number of people. Liam is sharing with his 3 friends, so the total number of people is: Liam + 3 friends = 1 + 3 = 4 people. Step 2: Identify the total number of marbles. Liam has 24 marbles. Step 3: Divide the marbles equally among all people. We divide the total marbles by the total number of people: 24 ÷ 4 = 6. Step 4: Interpret the result. Each person gets 6 marbles. Final Answer: 6

4. Lily has 36 stickers that she wants to share equally with her 3 best friends. If she includes herself in the sharing, how many stickers will each person get? Answer: 9 Solution: Count how many people will share the stickers. Lily has 3 friends plus herself, so 3 + 1 = 4 people total. Divide the total stickers equally among all 4 people.
   Full step-by-step solution

   Step 1: Count how many people will share the stickers. Lily has 3 friends plus herself, so 3 + 1 = 4 people total. Step 2: Divide the total stickers equally among all 4 people. 36 ÷ 4 = 9 Step 3: Check: 9 stickers per person × 4 people = 36 stickers total. The answer is 9.

5. Olivia has a rectangular sandwich. She cuts it into 4 equal parts. What is each part called? Answer: fourths Solution: Olivia cuts her rectangular sandwich into 4 equal parts. This means the whole sandwich is divided into 4 pieces that are all the same size. When a shape is divided into 2 equal parts, each part is called a half.
   Full step-by-step solution

   Step 1: Olivia cuts her rectangular sandwich into 4 equal parts. This means the whole sandwich is divided into 4 pieces that are all the same size. Step 2: When a shape is divided into 2 equal parts, each part is called a half. Step 3: When a shape is divided into 3 equal parts, each part is called a third. Step 4: When a shape is divided into 4 equal parts, each part is called a fourth. Since the sandwich is cut into 4 equal parts, each part is called a fourth. The answer is fourths.

6. Aroha cuts a rectangular sheet of paper into 3 equal strips. What fraction is each strip? Answer: 1/3 Solution: Aroha cuts the rectangular sheet of paper into 3 equal strips. When a whole is divided into 3 equal parts, each part is called one-third. One-third can be written as the fraction 1/3.
   Full step-by-step solution

   Step 1: Aroha cuts the rectangular sheet of paper into 3 equal strips. Step 2: When a whole is divided into 3 equal parts, each part is called one-third. Step 3: One-third can be written as the fraction 1/3. The answer is 1/3.

7. Aroha cuts a circular cake into 3 equal slices. What fraction is each slice? Answer: 1/3 Solution: The circular cake is divided into 3 equal slices. When a whole is divided into 3 equal parts, each part is called one-third. One-third can be written as the fraction 1/3.
   Full step-by-step solution

   Step 1: The circular cake is divided into 3 equal slices. Step 2: When a whole is divided into 3 equal parts, each part is called one-third. Step 3: One-third can be written as the fraction 1/3. The answer is 1/3.

8. Lily has 30 stickers that she wants to share equally with her 5 friends. What fraction of the stickers will each friend get? Answer: 1/6 Solution: Lily has 30 stickers to share with 5 friends First, count how many people total will share the stickers: Lily + 5 friends = 6 people When sharing equally among 6 people, each person gets 1 part out of 6 equal parts This means each person gets 1/6 of the stickers The answer is 1/6.
   Full step-by-step solution

   Step 1: Lily has 30 stickers to share with 5 friends Step 2: First, count how many people total will share the stickers: Lily + 5 friends = 6 people Step 3: When sharing equally among 6 people, each person gets 1 part out of 6 equal parts Step 4: This means each person gets 1/6 of the stickers The answer is 1/6.

9. A rectangular cake is divided into 2 equal pieces. What fraction is each piece? Answer: 1/2 Solution: The rectangular cake is divided into 2 equal pieces. When a whole is divided into 2 equal parts, each part is called one-half. One-half can be written as the fraction 1/2.
   Full step-by-step solution

   Step 1: The rectangular cake is divided into 2 equal pieces. Step 2: When a whole is divided into 2 equal parts, each part is called one-half. Step 3: One-half can be written as the fraction 1/2. The answer is 1/2.

10. Ms. Rodriguez has 36 crayons that she wants to share equally among 9 students in her art class. What fraction of the crayons will each student get? Answer: 1/9 Solution: Ms. Rodriguez has 36 crayons total She wants to share them equally among 9 students When sharing equally, each student gets 1 part out of 9 equal parts This means each student gets 1/9 of the crayons The answer is 1/9.
    Full step-by-step solution

    Step 1: Ms. Rodriguez has 36 crayons total Step 2: She wants to share them equally among 9 students Step 3: When sharing equally, each student gets 1 part out of 9 equal parts Step 4: This means each student gets 1/9 of the crayons The answer is 1/9.