Equal Shares

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Answer Key & Explanations

Equal Shares · Grade 2 · Worksheet 1

1. Noah baked a large rectangular cake for his family. He cut the cake into 4 equal parts so everyone could have a fair share. What is each piece of cake called? Answer: a fourth Solution: Noah cut the whole cake into 4 equal parts. When a whole is divided into 4 equal parts, each part is called one fourth. So each piece of cake is called a fourth.
   Full step-by-step solution

   Step 1: Noah cut the whole cake into 4 equal parts. Step 2: When a whole is divided into 4 equal parts, each part is called one fourth. Step 3: So each piece of cake is called a fourth. The answer is a fourth.

2. A rectangular garden is divided into 4 equal parts. Each part is planted with different flowers. If the 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 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 garden is 24. We need to find how many flowers are in each equal part. Step 2: Since the garden is divided into 4 equal parts, the total number of flowers is shared equally among these 4 parts. This means we need to divide the total flowers by the number of parts. Step 3: Write the division expression. Total flowers = 24 Number of equal parts = 4 Flowers in each part = 24 ÷ 4 Step 4: Perform the division. 24 ÷ 4 = 6 Step 5: Interpret the result. Each of the 4 equal parts has 6 flowers. Step 6: Verify. If each part has 6 flowers, then 4 parts × 6 flowers = 24 flowers total. This matches the given total, so the answer is correct. Final answer: 6

3. A baker has 24 cookies and wants to share them equally among 6 children. What fraction of the cookies will each child get? Answer: 1/6 Solution: The baker has 24 cookies total and wants to divide them equally among 6 children. Determine how many cookies each child gets. Divide the total cookies by the number of children: 24 ÷ 6 = 4 So each child gets 4 cookies.
   Full step-by-step solution

   Step 1: Understand the problem. The baker has 24 cookies total and wants to divide them equally among 6 children. Step 2: Determine how many cookies each child gets. Divide the total cookies by the number of children: 24 ÷ 6 = 4 So each child gets 4 cookies. Step 3: Find the fraction of the total cookies that each child gets. The total number of cookies is 24. Each child gets 4 cookies. So the fraction is: 4 / 24 Step 4: Simplify the fraction. Both 4 and 24 can be divided by 4: 4 ÷ 4 = 1 24 ÷ 4 = 6 So 4/24 simplifies to 1/6. Step 5: Interpret the result. Each child gets 1/6 of the total cookies. Final answer: 1/6

4. A rectangular chocolate bar is divided into 2 equal pieces. What fraction is each piece? Answer: 1/2 Solution: The rectangular chocolate bar 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 chocolate bar 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.

5. 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.

6. Lily has 24 stickers. She wants to share them equally with her 3 friends. How many stickers will each person get? Answer: 6 Solution: Lily has 24 stickers. She wants to share them equally with her 3 friends. That means we need to include Lily herself when counting the total number of people.
   Full step-by-step solution

   Step 1: Understand the problem. Lily has 24 stickers. She wants to share them equally with her 3 friends. That means we need to include Lily herself when counting the total number of people. Step 2: Count the total number of people. Lily + 3 friends = 1 + 3 = 4 people in total. Step 3: Divide the total stickers equally among all 4 people. Total stickers = 24 Number of people = 4 Calculation: 24 ÷ 4 = 6 Step 4: Conclusion. Each person will get 6 stickers. Final answer: 6

7. 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.

8. 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.

9. Noah baked 24 cookies for his class party. There are 8 students in his class. If he wants to give each student an equal share, what fraction of the cookies will each student get? Answer: 1/8 Solution: Noah has 24 cookies total. There are 8 students who need to share them equally. To find the fraction each student gets, we put 1 student over the total number of students: 1/8.
   Full step-by-step solution

   Step 1: Noah has 24 cookies total. Step 2: There are 8 students who need to share them equally. Step 3: To find the fraction each student gets, we put 1 student over the total number of students: 1/8. Step 4: This means each student gets one-eighth of the cookies. The answer is 1/8.