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Fraction × Whole

Grade 5 · Fractions · Worksheet 2

  1. Liam is baking cookies for his school bake sale. He needs to make 3/4 of a batch for each classroom, and there are 5 classrooms participating. How many total batches of cookies does Liam need to bake? Answer: ______________
  2. Isabella is designing a tile pattern for a rectangular floor. The floor is divided into a grid of 9 equal rows and 12 equal columns, creating 108 identical small squares. She plans to color 2/3 of the entire floor with a blue pattern. If each small square represents one unit of area, how many small squares will be colored blue? Answer: ______________
  3. In gym class, Nikau runs laps around the track. Each lap is 3/5 of a mile. If Nikau runs 10 laps, how many miles does Nikau run in total? Answer: ______________
  4. A rectangular swimming pool is drawn on a coordinate plane with corners at (0,0), (12,0), (12,8), and (0,8). Each unit on the grid represents 1 meter. What is the area of the pool in square meters? Answer: ______________
  5. 3/5 × 20 = ? Answer: ______________
  6. A construction crew is building a new playground. They need to pour concrete for 3/4 of the playground area. If the playground covers 600 square meters, how many square meters of concrete do they need to pour? Answer: ______________
  7. Mason is creating a tile pattern for a rectangular walkway. He draws a grid on a coordinate plane where each unit represents 1 foot. The walkway has corners at (2, 2), (17, 2), (17, 7), and (2, 7). He wants to cover 3/5 of the walkway area with blue tiles. How many square feet of the walkway will be covered with blue tiles? Answer: ______________
  8. A construction crew is building a new playground. They need to install 3/4 of a ton of sand in each of the 8 sandboxes. How many total tons of sand do they need for all the sandboxes? Answer: ______________
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Answer Key & Explanations

Fraction × Whole · Grade 5 · Worksheet 2

  1. Liam is baking cookies for his school bake sale. He needs to make 3/4 of a batch for each classroom, and there are 5 classrooms participating. How many total batches of cookies does Liam need to bake? Answer: 3 3/4 Solution: Liam needs to make 3/4 of a batch for each classroom. There are 5 classrooms. 5 × (3/4) Multiply the whole number by the fraction.
    Full step-by-step solution

    Liam needs to make 3/4 of a batch for each classroom. There are 5 classrooms. So the total number of batches needed is: 5 × (3/4) Step 1: Multiply the whole number by the fraction. 5 × 3/4 = (5 × 3) / 4 Step 2: Multiply numerator. 5 × 3 = 15 Step 3: Write as a fraction. 15/4 Step 4: Convert the improper fraction to a mixed number. 15 ÷ 4 = 3 remainder 3, so: 15/4 = 3 3/4 So Liam needs to bake 3 3/4 batches of cookies.

  2. Isabella is designing a tile pattern for a rectangular floor. The floor is divided into a grid of 9 equal rows and 12 equal columns, creating 108 identical small squares. She plans to color 2/3 of the entire floor with a blue pattern. If each small square represents one unit of area, how many small squares will be colored blue? Answer: 72 Solution: Find the total number of small squares on the floor. Total squares = 9 rows × 12 columns = 108 squares. We need 2/3 of 108.
    Full step-by-step solution

    Step 1: Find the total number of small squares on the floor. Total squares = 9 rows × 12 columns = 108 squares. Step 2: We need 2/3 of 108. Multiply the whole number by the numerator: 108 × 2 = 216. Step 3: Divide the result by the denominator: 216 ÷ 3 = 72. So, 2/3 of 108 is 72. Isabella will color 72 small squares blue. The answer is 72.

  3. In gym class, Nikau runs laps around the track. Each lap is 3/5 of a mile. If Nikau runs 10 laps, how many miles does Nikau run in total? Answer: 6 Solution: Each lap is 3/5 of a mile. Multiply the fraction by the number of laps: 3/5 × 10 = (3 × 10)/5 = 6.
    Full step-by-step solution

    Step 1: Each lap is 3/5 of a mile. Step 2: Multiply the fraction by the number of laps: 3/5 × 10 = (3 × 10)/5 = 6. The answer is 6 miles.

  4. A rectangular swimming pool is drawn on a coordinate plane with corners at (0,0), (12,0), (12,8), and (0,8). Each unit on the grid represents 1 meter. What is the area of the pool in square meters? Answer: 96 Solution: Identify the length of the rectangle from the x-coordinates. The left side is at x=0 and the right side is at x=12, so the length is 12 - 0 = 12 meters. Identify the width of the rectangle from the y-coordinates.
    Full step-by-step solution

    Step 1: Identify the length of the rectangle from the x-coordinates. The left side is at x=0 and the right side is at x=12, so the length is 12 - 0 = 12 meters. Step 2: Identify the width of the rectangle from the y-coordinates. The bottom is at y=0 and the top is at y=8, so the width is 8 - 0 = 8 meters. Step 3: Calculate the area using the formula: area = length × width. Step 4: Multiply: 12 × 8 = 96. The area of the pool is 96 square meters.

  5. 3/5 × 20 = ? Answer: 12 Solution: Write the multiplication: 3/5 × 20 Multiply the numerator by the whole number: 3 × 20 = 60 Keep the same denominator: 60/5 Divide 60 by 5: 60 ÷ 5 = 12 The answer is 12.
    Full step-by-step solution

    Step 1: Write the multiplication: 3/5 × 20 Step 2: Multiply the numerator by the whole number: 3 × 20 = 60 Step 3: Keep the same denominator: 60/5 Step 4: Divide 60 by 5: 60 ÷ 5 = 12 The answer is 12.

  6. A construction crew is building a new playground. They need to pour concrete for 3/4 of the playground area. If the playground covers 600 square meters, how many square meters of concrete do they need to pour? Answer: 450 Solution: Identify the total area of the playground: 600 square meters Identify the fraction that needs concrete: 3/4 Multiply the total area by the fraction: 600 × 3/4 Calculate 600 × 3 = 1800 Divide 1800 by 4 = 450 The crew needs to pour concrete for 450 square meters
    Full step-by-step solution

    Step 1: Identify the total area of the playground: 600 square meters Step 2: Identify the fraction that needs concrete: 3/4 Step 3: Multiply the total area by the fraction: 600 × 3/4 Step 4: Calculate 600 × 3 = 1800 Step 5: Divide 1800 by 4 = 450 Step 6: The crew needs to pour concrete for 450 square meters

  7. Mason is creating a tile pattern for a rectangular walkway. He draws a grid on a coordinate plane where each unit represents 1 foot. The walkway has corners at (2, 2), (17, 2), (17, 7), and (2, 7). He wants to cover 3/5 of the walkway area with blue tiles. How many square feet of the walkway will be covered with blue tiles? Answer: 45 Solution: Find the length by subtracting the x-coordinates: 17 - 2 = 15 feet. Find the width by subtracting the y-coordinates: 7 - 2 = 5 feet. Find the total area: 15 feet × 5 feet = 75 square feet.
    Full step-by-step solution

    Step 1: Find the length by subtracting the x-coordinates: 17 - 2 = 15 feet. Step 2: Find the width by subtracting the y-coordinates: 7 - 2 = 5 feet. Step 3: Find the total area: 15 feet × 5 feet = 75 square feet. Step 4: Find 3/5 of the total area: (3/5) × 75 = (3 × 75) / 5 = 225 / 5 = 45. The area covered with blue tiles is 45 square feet.

  8. A construction crew is building a new playground. They need to install 3/4 of a ton of sand in each of the 8 sandboxes. How many total tons of sand do they need for all the sandboxes? Answer: 6 Solution: Each sandbox needs 3/4 ton of sand There are 8 sandboxes total Multiply the amount per sandbox by the number of sandboxes: 3/4 × 8 Write 8 as a fraction: 8 = 8/1 Multiply the fractions: (3/4) × (8/1) = (3 × 8)/(4 × 1) = 24/4 Simplify the fraction: 24 ÷ 4 = 6 The answer is 6 tons of sand.
    Full step-by-step solution

    Step 1: Each sandbox needs 3/4 ton of sand Step 2: There are 8 sandboxes total Step 3: Multiply the amount per sandbox by the number of sandboxes: 3/4 × 8 Step 4: Write 8 as a fraction: 8 = 8/1 Step 5: Multiply the fractions: (3/4) × (8/1) = (3 × 8)/(4 × 1) = 24/4 Step 6: Simplify the fraction: 24 ÷ 4 = 6 The answer is 6 tons of sand.