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Whole ÷ Fraction

Grade 5 · Fractions · Worksheet 1

  1. Olivia is tiling a rectangular wall that is 9 feet long. She is using square tiles, each of which covers 1/5 of a foot in length. How many tiles will Olivia need to place in a single row along the entire length of the wall? Answer: ______________
  2. Maya is pouring juice from a large pitcher that holds 3 cups of juice. Each glass holds 1/5 cup of juice. How many glasses can Maya fill completely? Answer: ______________
  3. Noah is drawing a large rectangular mural that is 9 meters long. He plans to divide it into equal sections, and each section will represent 1/6 of a complete art piece. How many complete art pieces can the entire mural represent? Answer: ______________
  4. Mason is helping his grandmother prepare gift baskets for a community event. They have 12 liters of homemade apple cider to pour into small bottles. Each bottle holds 1/3 of a liter of cider. How many bottles can Mason and his grandmother fill completely? Answer: ______________
  5. A rectangular garden is divided into 8 equal sections. If each section represents 1/4 of a flower bed, how many whole flower beds are represented by the entire garden? Answer: ______________
  6. The school art club is creating a large mural using colored paper. They have a roll of red paper that is 8 feet long. If each student needs 2/3 of a foot of red paper for their section of the mural, how many students can get their red paper from this roll? Answer: ______________
  7. Emma is cutting a 600-centimeter-long ribbon into equal pieces. She marks the ribbon at every point that is 1/5 of a centimeter from the start. How many pieces of ribbon, each 1/5 of a centimeter long, can she cut from the entire 600-centimeter ribbon? Answer: ______________
  8. A school is organizing a field trip and needs to fill water bottles for all the students. They have a large 8-gallon water cooler. If each student's water bottle holds 2/5 of a gallon, how many complete water bottles can be filled from the full cooler? Answer: ______________
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Answer Key & Explanations

Whole ÷ Fraction · Grade 5 · Worksheet 1

  1. Olivia is tiling a rectangular wall that is 9 feet long. She is using square tiles, each of which covers 1/5 of a foot in length. How many tiles will Olivia need to place in a single row along the entire length of the wall? Answer: 45 Solution: The wall is 9 feet long, and each tile covers 1/5 foot in length. To find how many tiles fit, divide the total length by the length of one tile: 9 ÷ 1/5.
    Full step-by-step solution

    Step 1: The wall is 9 feet long, and each tile covers 1/5 foot in length. To find how many tiles fit, divide the total length by the length of one tile: 9 ÷ 1/5. Step 2: Dividing by a unit fraction is the same as multiplying by its reciprocal. The reciprocal of 1/5 is 5/1, or just 5. So, 9 ÷ 1/5 = 9 × 5. Step 3: Multiply: 9 × 5 = 45. Step 4: Since 45 is a whole number, exactly 45 tiles fit in a single row along the wall. The answer is 45.

  2. Maya is pouring juice from a large pitcher that holds 3 cups of juice. Each glass holds 1/5 cup of juice. How many glasses can Maya fill completely? Answer: 15 Solution: The pitcher holds 3 cups of juice. Each glass holds 1/5 cup. Step 2: To find how many 1/5-cup glasses fit in 3 cups, divide: 3 ÷ 1/5 = 3 × 5 = 15.
    Full step-by-step solution

    Step 1: The pitcher holds 3 cups of juice. Each glass holds 1/5 cup. Step 2: To find how many 1/5-cup glasses fit in 3 cups, divide: 3 ÷ 1/5 = 3 × 5 = 15. Step 3: The answer is 15 glasses.

  3. Noah is drawing a large rectangular mural that is 9 meters long. He plans to divide it into equal sections, and each section will represent 1/6 of a complete art piece. How many complete art pieces can the entire mural represent? Answer: 54 Solution: The mural is 9 meters long, and each section is 1/6 of a complete art piece. To find how many sections fit into the whole mural, we divide the total length by the size of one section: 9 ÷ 1/6.
    Full step-by-step solution

    Step 1: The mural is 9 meters long, and each section is 1/6 of a complete art piece. Step 2: To find how many sections fit into the whole mural, we divide the total length by the size of one section: 9 ÷ 1/6. Step 3: Dividing by a fraction is the same as multiplying by its reciprocal: 9 × 6/1 = 9 × 6. Step 4: 9 × 6 = 54. Step 5: So the mural represents 54 complete art pieces. The answer is 54.

  4. Mason is helping his grandmother prepare gift baskets for a community event. They have 12 liters of homemade apple cider to pour into small bottles. Each bottle holds 1/3 of a liter of cider. How many bottles can Mason and his grandmother fill completely? Answer: 36 Solution: We have 12 liters of cider total. Each bottle holds 1/3 of a liter. Step 2: To find how many 1/3-liter portions are in 12 liters, we divide 12 by 1/3.
    Full step-by-step solution

    Step 1: We have 12 liters of cider total. Each bottle holds 1/3 of a liter. Step 2: To find how many 1/3-liter portions are in 12 liters, we divide 12 by 1/3. Step 3: Dividing by a unit fraction is the same as multiplying by its denominator. So 12 ÷ 1/3 = 12 × 3. Step 4: Multiply: 12 × 3 = 36. Step 5: Therefore, Mason and his grandmother can fill 36 bottles completely. The answer is 36.

  5. A rectangular garden is divided into 8 equal sections. If each section represents 1/4 of a flower bed, how many whole flower beds are represented by the entire garden? Answer: 2 Solution: The garden is divided into 8 equal sections. Each section represents 1/4 of a flower bed. We want to find how many whole flower beds are represented by the entire garden.
    Full step-by-step solution

    Let's go step-by-step. Step 1: Understand the problem. The garden is divided into 8 equal sections. Each section represents 1/4 of a flower bed. We want to find how many whole flower beds are represented by the entire garden. Step 2: Find the total fraction of flower beds represented by the garden. If 1 section = 1/4 flower bed, then 8 sections = 8 × (1/4) flower beds. Step 3: Multiply. 8 × (1/4) = 8/4. Step 4: Simplify the fraction. 8/4 = 2. Step 5: Interpret the result. 2 means 2 whole flower beds. So the entire garden represents 2 whole flower beds.

  6. The school art club is creating a large mural using colored paper. They have a roll of red paper that is 8 feet long. If each student needs 2/3 of a foot of red paper for their section of the mural, how many students can get their red paper from this roll? Answer: 12 Solution: We need to divide the total length of paper by the length needed for each student. Total paper length = 8 feet Paper needed per student = 2/3 foot Set up the division: 8 ÷ (2/3) To divide by a fraction, multiply by its reciprocal: 8 × (3/2) Multiply: 8 × 3 = 24 Divide by 2: 24 ÷ 2 = 12 Check: 12…
    Full step-by-step solution

    Step 1: We need to divide the total length of paper by the length needed for each student. Step 2: Total paper length = 8 feet Step 3: Paper needed per student = 2/3 foot Step 4: Set up the division: 8 ÷ (2/3) Step 5: To divide by a fraction, multiply by its reciprocal: 8 × (3/2) Step 6: Multiply: 8 × 3 = 24 Step 7: Divide by 2: 24 ÷ 2 = 12 Step 8: Check: 12 students × (2/3 foot each) = 24/3 = 8 feet The answer is 12 students.

  7. Emma is cutting a 600-centimeter-long ribbon into equal pieces. She marks the ribbon at every point that is 1/5 of a centimeter from the start. How many pieces of ribbon, each 1/5 of a centimeter long, can she cut from the entire 600-centimeter ribbon? Answer: 3000 Solution: The ribbon is 600 cm long. Each piece is 1/5 cm long. To find how many 1/5 cm pieces fit into 600 cm, divide 600 by 1/5.
    Full step-by-step solution

    Step 1: The ribbon is 600 cm long. Each piece is 1/5 cm long. Step 2: To find how many 1/5 cm pieces fit into 600 cm, divide 600 by 1/5. Step 3: Dividing by a fraction is the same as multiplying by its reciprocal: 600 divided by 1/5 equals 600 times 5/1. Step 4: 600 times 5 equals 3000. Step 5: So Emma can cut 3000 pieces, each 1/5 cm long. The answer is 3000.

  8. A school is organizing a field trip and needs to fill water bottles for all the students. They have a large 8-gallon water cooler. If each student's water bottle holds 2/5 of a gallon, how many complete water bottles can be filled from the full cooler? Answer: 20 Solution: We need to find how many 2/5 gallon portions fit into 8 gallons.
    Full step-by-step solution

    Step 1: We need to find how many 2/5 gallon portions fit into 8 gallons. Step 2: This is a division problem: 8 ÷ (2/5) Step 3: To divide by a fraction, we multiply by its reciprocal: 8 × (5/2) Step 4: Multiply 8 by 5: 8 × 5 = 40 Step 5: Divide 40 by 2: 40 ÷ 2 = 20 Step 6: Since the question asks for complete bottles, and 20 is a whole number, we have exactly 20 complete bottles. The answer is 20.