Whole as Fractions

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Answer Key & Explanations

Whole as Fractions · Grade 3 · Worksheet 1

1. Sophia is making a batch of granola bars for a hiking trip. The recipe calls for 16 cups of oats. She only has a 1-cup measuring cup. How many times does Sophia need to fill her 1-cup measuring cup to get all 16 cups of oats? Write your answer as a fraction that shows 16 as a whole number over 1. Answer: 16/1 Solution: Sophia needs 16 cups of oats. She uses a 1-cup measuring cup, so she will fill it 16 times.
   Full step-by-step solution

   Step 1: Sophia needs 16 cups of oats. She uses a 1-cup measuring cup, so she will fill it 16 times. Step 2: To write 16 as a fraction, we put the whole number as the numerator (top number) and 1 as the denominator (bottom number), because 16 whole cups means 16 groups of 1 cup each. Step 3: So, 16 written as a fraction is 16/1. The answer is 16/1.

2. Liam is baking cookies for his class party. He needs to make 120 cookies total. If each baking sheet holds 8 cookies, how many full sheets of cookies does Liam need to bake? Answer: 15 Solution: We are told that Liam needs to make 120 cookies, and each baking sheet holds 8 cookies. Determine how many sheets are needed by dividing the total cookies by the cookies per sheet.
   Full step-by-step solution

   We are told that Liam needs to make 120 cookies, and each baking sheet holds 8 cookies. Step 1: Determine how many sheets are needed by dividing the total cookies by the cookies per sheet. Number of sheets = Total cookies ÷ Cookies per sheet Number of sheets = 120 ÷ 8 Step 2: Perform the division. 120 ÷ 8 = 15 Step 3: Interpret the result. Since 15 is a whole number, it means 15 full sheets will hold exactly 120 cookies. There is no remainder, so Liam needs exactly 15 full sheets. Final answer: 15

3. A rectangular garden is divided into 8 equal sections. If 5 sections are planted with tomatoes and the rest with carrots, what fraction of the garden is planted with carrots? Answer: 3/8 Solution: The garden is divided into 8 equal sections. So, each section is 1/8 of the garden. Determine how many sections are carrots.
   Full step-by-step solution

   Step 1: Understand the problem. The garden is divided into 8 equal sections. So, each section is 1/8 of the garden. Step 2: Determine how many sections are carrots. 5 sections are tomatoes. Total sections = 8. Carrot sections = 8 - 5 = 3 sections. Step 3: Find the fraction for carrots. Each section is 1/8 of the garden. 3 sections = 3 × (1/8) = 3/8 of the garden. Step 4: Conclusion. The fraction of the garden planted with carrots is 3/8.

4. A rectangular garden is divided into 12 equal square sections. If 7 sections are planted with sunflowers and the rest with roses, what fraction of the garden is planted with roses? Write your answer as a fraction. Answer: 5/12 Solution: The garden has 12 equal sections total. 7 sections are planted with sunflowers. Find how many sections are left for roses: 12 - 7 = 5 sections.
   Full step-by-step solution

   Step 1: The garden has 12 equal sections total. Step 2: 7 sections are planted with sunflowers. Step 3: Find how many sections are left for roses: 12 - 7 = 5 sections. Step 4: The fraction for roses is the number of rose sections divided by total sections: 5/12. The answer is 5/12.

5. A rectangular field is 120 meters long and 80 meters wide. The farmer plants corn in a square section that measures 40 meters on each side in one corner of the field. What fraction of the entire field is planted with corn? Answer: 1/6 Solution: Area = length × width = 120 × 80 = 9,600 square meters Area = side × side = 40 × 40 = 1,600 square meters Write the corn area as a fraction of the total field area Fraction = corn area / total area = 1,600 / 9,600 Both numerator and denominator can be divided by 100: 16/96 Both numerator and…
   Full step-by-step solution

   Step 1: Find the area of the entire rectangular field Area = length × width = 120 × 80 = 9,600 square meters Step 2: Find the area of the square corn section Area = side × side = 40 × 40 = 1,600 square meters Step 3: Write the corn area as a fraction of the total field area Fraction = corn area / total area = 1,600 / 9,600 Step 4: Simplify the fraction Both numerator and denominator can be divided by 100: 16/96 Both numerator and denominator can be divided by 16: 1/6 The answer is 1/6.

6. Liam is helping his teacher organize books for the school library. He has 120 books to put on shelves. If each shelf can hold 8 books, how many shelves will Liam need to hold all the books? Answer: 15 Solution: We are told that Liam has 120 books and each shelf holds 8 books. We want to find how many shelves are needed to hold all the books. Set up the division.
   Full step-by-step solution

   We are told that Liam has 120 books and each shelf holds 8 books. We want to find how many shelves are needed to hold all the books. Step 1: Set up the division. We divide the total number of books by the number of books per shelf: 120 ÷ 8 Step 2: Perform the division. 8 × 15 = 120, so 120 ÷ 8 = 15. Step 3: Interpret the result. Since 120 divided by 8 equals 15, this means 15 shelves are needed to hold all the books. Step 4: Check for remainder. There is no remainder because 120 is exactly divisible by 8, so no extra shelf is needed for leftover books. Final answer: 15 shelves.

7. Emma is baking cupcakes for her school's bake sale. She needs to make 144 cupcakes total. If each baking pan holds 12 cupcakes, how many full pans of cupcakes does Emma need to bake? Answer: 12 Solution: Identify the total number of cupcakes needed: 144 Identify how many cupcakes fit in each pan: 12 Divide the total cupcakes by cupcakes per pan: 144 ÷ 12 Calculate: 144 ÷ 12 = 12 Emma needs to bake 12 full pans of cupcakes.
   Full step-by-step solution

   Step 1: Identify the total number of cupcakes needed: 144 Step 2: Identify how many cupcakes fit in each pan: 12 Step 3: Divide the total cupcakes by cupcakes per pan: 144 ÷ 12 Step 4: Calculate: 144 ÷ 12 = 12 Emma needs to bake 12 full pans of cupcakes.