Whole as Fractions

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Answer Key & Explanations

Whole as Fractions · Grade 3 · Worksheet 2

1. Emma is organizing her sticker collection into a large sticker book. She has 144 stickers total and wants to put 12 stickers on each page. How many pages will Emma fill completely with her stickers? Answer: 12 Solution: Emma has 144 stickers total. Each page holds 12 stickers.
   Full step-by-step solution

   Step 1: Emma has 144 stickers total. Step 2: Each page holds 12 stickers. Step 3: To find how many pages she needs, divide the total stickers by stickers per page: 144 ÷ 12 Step 4: 12 × 12 = 144, so 144 ÷ 12 = 12 Step 5: Emma will fill 12 pages completely with her stickers. The answer is 12.

2. Liam is helping his teacher organize books for the class library. He has 84 books and needs to put them equally on 4 shelves. How many books should Liam place on each shelf? Answer: 21 Solution: We need to divide 84 books equally among 4 shelves. This means we must perform the division: 84 ÷ 4. Set up the division.
   Full step-by-step solution

   We need to divide 84 books equally among 4 shelves. This means we must perform the division: 84 ÷ 4. Step 1: Set up the division. We have 84 total books and 4 shelves. Step 2: One way to think about it is to split 84 into 4 equal groups. We can break 84 into two parts: 80 and 4. Step 3: Divide 80 by 4. 80 ÷ 4 = 20. Step 4: Divide 4 by 4. 4 ÷ 4 = 1. Step 5: Add the two results: 20 + 1 = 21. Step 6: Check: If each shelf gets 21 books, then 4 shelves will have 4 × 21 = 84 books. This matches the total. So, Liam should place 21 books on each shelf.

3. A rectangular classroom floor is covered with square tiles arranged in 12 rows with 8 tiles in each row. The teacher marks a rectangular section in the corner that is 4 tiles wide and 6 tiles long. What fraction of the total floor tiles are in the marked section? Answer: 1/4 Solution: 12 rows × 8 tiles per row = 96 tiles 4 tiles wide × 6 tiles long = 24 tiles 24/96 Both 24 and 96 can be divided by 24 24 ÷ 24 = 1 96 ÷ 24 = 4 So 24/96 = 1/4 The answer is 1/4.
   Full step-by-step solution

   Step 1: Find the total number of tiles on the floor 12 rows × 8 tiles per row = 96 tiles Step 2: Find the number of tiles in the marked section 4 tiles wide × 6 tiles long = 24 tiles Step 3: Write the fraction of marked tiles to total tiles 24/96 Step 4: Simplify the fraction Both 24 and 96 can be divided by 24 24 ÷ 24 = 1 96 ÷ 24 = 4 So 24/96 = 1/4 The answer is 1/4.

4. Lily is helping her teacher set up chairs for the school concert. They need to arrange 84 chairs in equal rows. If they make 7 rows, how many chairs will be in each row? Answer: 12 Solution: Lily has 84 chairs total to arrange She needs to put them into 7 equal rows To find how many chairs in each row, divide the total chairs by the number of rows 84 ÷ 7 = 12 Check: 12 chairs × 7 rows = 84 chairs total There will be 12 chairs in each row.
   Full step-by-step solution

   Step 1: Lily has 84 chairs total to arrange Step 2: She needs to put them into 7 equal rows Step 3: To find how many chairs in each row, divide the total chairs by the number of rows Step 4: 84 ÷ 7 = 12 Step 5: Check: 12 chairs × 7 rows = 84 chairs total There will be 12 chairs in each row.

5. A rectangular chocolate bar is divided into 15 equal square pieces arranged in 3 rows and 5 columns. If you eat all the pieces in the middle row, what fraction of the chocolate bar did you eat? Answer: 1/3 Solution: The chocolate bar has 15 equal pieces total. There are 3 rows of pieces. Each row has the same number of pieces, so one row represents 1/3 of the chocolate bar.
   Full step-by-step solution

   Step 1: The chocolate bar has 15 equal pieces total. Step 2: There are 3 rows of pieces. Step 3: Each row has the same number of pieces, so one row represents 1/3 of the chocolate bar. Step 4: Since you ate the middle row, you ate 1/3 of the chocolate bar. The answer is 1/3.

6. A rectangular field is divided into 12 equal sections. If 7 sections are planted with corn and the rest with wheat, what fraction of the field is planted with wheat? Write your answer as a fraction. Answer: 5/12 Solution: The field has 12 equal sections total. 7 sections are planted with corn. Find sections planted with wheat: 12 - 7 = 5 sections.
   Full step-by-step solution

   Step 1: The field has 12 equal sections total. Step 2: 7 sections are planted with corn. Step 3: Find sections planted with wheat: 12 - 7 = 5 sections. Step 4: The fraction for wheat is wheat sections divided by total sections: 5/12. The answer is 5/12.

7. Lily is baking cupcakes for her school bake sale. She needs to make 84 cupcakes total. If each baking pan holds 6 cupcakes, how many full pans of cupcakes does Lily need to bake? Answer: 14 Solution: Lily needs to make 84 cupcakes total. Each baking pan holds 6 cupcakes.
   Full step-by-step solution

   Step 1: Lily needs to make 84 cupcakes total. Step 2: Each baking pan holds 6 cupcakes. Step 3: To find how many pans she needs, divide the total cupcakes by the number each pan holds: 84 ÷ 6 Step 4: 84 ÷ 6 = 14 Step 5: This means Lily needs 14 full pans of cupcakes. The answer is 14.

8. Liam is organizing his baseball card collection. He has 120 cards and wants to put them equally into 8 different albums. How many cards will go in each album? Answer: 15 Solution: Liam has 120 cards total. He wants to split them equally into 8 albums. This means we need to divide 120 by 8.
   Full step-by-step solution

   Liam has 120 cards total. He wants to split them equally into 8 albums. This means we need to divide 120 by 8. Step 1: Write the division problem. 120 ÷ 8 = ? Step 2: Break it down. We can think: 8 times what number equals 120? Step 3: Use a multiplication fact. 8 × 10 = 80 That’s too small. Step 4: Try 8 × 15. 8 × 10 = 80 8 × 5 = 40 Add them: 80 + 40 = 120 Step 5: Conclusion. Since 8 × 15 = 120, then 120 ÷ 8 = 15. So, each album will have 15 cards.

9. 72/8 = ? Answer: 9 Solution: The fraction 72/8 means 72 divided by 8 Think about what number multiplied by 8 equals 72 8 × 9 = 72 Therefore, 72/8 = 9 The answer is 9.
   Full step-by-step solution

   Step 1: The fraction 72/8 means 72 divided by 8 Step 2: Think about what number multiplied by 8 equals 72 Step 3: 8 × 9 = 72 Step 4: Therefore, 72/8 = 9 The answer is 9.