Equal Shares

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Answer Key & Explanations

Equal Shares · Grade 2 · Worksheet 1

1. A rectangular cake is cut into 2 equal pieces. What fraction of the cake is each piece? Answer: 1/2 Solution: The 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 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.

2. Hana draws a large square on paper. She divides the square into 2 equal parts. What is each part called? Answer: halves Solution: Hana has a whole square. She cuts the square into 2 equal parts. This means the square is split into two pieces that are exactly the same size.
   Full step-by-step solution

   Step 1: Hana has a whole square. Step 2: She cuts the square into 2 equal parts. This means the square is split into two pieces that are exactly the same size. Step 3: When a shape is divided into 2 equal parts, each part is called a half. Step 4: Since the square is divided into 2 equal parts, each part is called a half, or we say the square is divided into halves. The answer is halves.

3. A rectangular chocolate bar is divided into 8 equal squares. If you eat 3 of the squares, what fraction of the chocolate bar did you eat? Answer: 3/8 Solution: The chocolate bar is divided into 8 equal squares, so the whole bar is 8/8. You ate 3 of these squares. The fraction of the chocolate bar you ate is 3 out of 8 equal parts, which is written as 3/8.
   Full step-by-step solution

   Step 1: The chocolate bar is divided into 8 equal squares, so the whole bar is 8/8. Step 2: You ate 3 of these squares. Step 3: The fraction of the chocolate bar you ate is 3 out of 8 equal parts, which is written as 3/8. The answer is 3/8.

4. Sophia has a rectangular sheet of paper divided into 3 equal parts. What fraction is each part? Answer: 1/3 Solution: Sophia's rectangular paper is divided into 3 equal parts. 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: Sophia's rectangular paper is divided into 3 equal parts. 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.

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

6. Aroha has a square pan of brownies. She cuts it into 3 equal parts. What is each part called? Answer: thirds Solution: Aroha cuts her square pan of brownies into 3 equal parts. This means the whole pan is divided into 3 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: Aroha cuts her square pan of brownies into 3 equal parts. This means the whole pan is divided into 3 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 pan is cut into 3 equal parts, each part is called a third. The answer is thirds.

7. A circular cake is divided into 4 equal slices. What fraction is each slice? Answer: 1/4 Solution: The circular cake is divided into 4 equal slices. When a whole is divided into 4 equal parts, each part is called one-fourth. One-fourth can be written as the fraction 1/4.
   Full step-by-step solution

   Step 1: The circular cake is divided into 4 equal slices. Step 2: When a whole is divided into 4 equal parts, each part is called one-fourth. Step 3: One-fourth can be written as the fraction 1/4. The answer is 1/4.

8. Noah baked 24 cookies for his class party. There are 8 students in his class. If he shares the cookies equally among all the students, how many cookies will each student get? Answer: 3 Solution: Noah has 24 cookies total. There are 8 students who need to share them equally. To find how many cookies each student gets, divide the total cookies by the number of students: 24 ÷ 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 how many cookies each student gets, divide the total cookies by the number of students: 24 ÷ 8. Step 4: 24 ÷ 8 = 3. Step 5: Each student will get 3 cookies.

9. A rectangular chocolate bar is divided into 8 equal pieces. If 3 pieces are eaten, what fraction of the chocolate bar is left? Write your answer as a fraction. Answer: 5/8 Solution: The chocolate bar is divided into 8 equal pieces, so the whole bar is 8/8. 3 pieces are eaten, so 8 - 3 = 5 pieces are left. The fraction of the chocolate bar left is the number of pieces left over the total pieces: 5/8.
   Full step-by-step solution

   Step 1: The chocolate bar is divided into 8 equal pieces, so the whole bar is 8/8. Step 2: 3 pieces are eaten, so 8 - 3 = 5 pieces are left. Step 3: The fraction of the chocolate bar left is the number of pieces left over the total pieces: 5/8. The answer is 5/8.