Worksheet 1Worksheet 2Worksheet 3

The download includes this worksheet followed by the answer key with explanations. In the print dialog choose “Save as PDF” to download.

lessonbunny.com
Name: ______________________________ Date: ______________

Fraction Division

Grade 5 · Fractions · Worksheet 3

  1. Emma is making a large batch of cookies for a bake sale. The recipe requires 3/4 cup of chocolate chips for one batch. If she has a total of 4 1/2 cups of chocolate chips, how many full batches of cookies can Emma make? Answer: ______________
  2. Hana is planting a garden. They have a ribbon that is 2 yard long. They need to cut the ribbon into pieces that are each 5 yard long for marking rows. How many pieces of ribbon can Hana cut? Answer: ______________
  3. 5/7 ÷ 1/3 = ? Answer: ______________
  4. 4/5 ÷ 1/2 = ? Answer: ______________
  5. A rectangular prism has a length of 12.5 cm, a width of 8.4 cm, and a height of 6.2 cm. What is the volume of this prism in cubic centimeters?
    Answer: ______________
  6. A factory produces 720 meters of ribbon each day. The ribbon is cut into pieces that are each 3/4 meter long. How many pieces of ribbon does the factory produce each day? Answer: ______________
  7. 2/3 ÷ 1/4 = ? Answer: ______________
  8. 3/5 ÷ 1/3 = ? Answer: ______________
lessonbunny.com

Answer Key & Explanations

Fraction Division · Grade 5 · Worksheet 3

  1. Emma is making a large batch of cookies for a bake sale. The recipe requires 3/4 cup of chocolate chips for one batch. If she has a total of 4 1/2 cups of chocolate chips, how many full batches of cookies can Emma make? Answer: 6 Solution: Convert the mixed number to an improper fraction. 4 1/2 = (4 × 2 + 1)/2 = 9/2 Set up the division problem: total chips ÷ chips per batch = 9/2 ÷ 3/4 To divide fractions, multiply by the reciprocal: 9/2 × 4/3 Multiply numerators: 9 × 4 = 36 Multiply denominators: 2 × 3 = 6 Simplify the fraction:…
    Full step-by-step solution

    Step 1: Convert the mixed number to an improper fraction. 4 1/2 = (4 × 2 + 1)/2 = 9/2 Step 2: Set up the division problem: total chips ÷ chips per batch = 9/2 ÷ 3/4 Step 3: To divide fractions, multiply by the reciprocal: 9/2 × 4/3 Step 4: Multiply numerators: 9 × 4 = 36 Step 5: Multiply denominators: 2 × 3 = 6 Step 6: Simplify the fraction: 36/6 = 6 Emma can make 6 full batches of cookies.

  2. Hana is planting a garden. They have a ribbon that is 2 yard long. They need to cut the ribbon into pieces that are each 5 yard long for marking rows. How many pieces of ribbon can Hana cut? Answer: 0 Solution: The ribbon is 2 yard long. Each piece is 5 yard long. We are asking: How many 5-yard pieces fit into 2 yards?
    Full step-by-step solution

    Step 1: The ribbon is 2 yard long. Step 2: Each piece is 5 yard long. Step 3: We are asking: How many 5-yard pieces fit into 2 yards? This means 2 ÷ 5. Step 4: 2 ÷ 5 = 2/5. Since 2 < 5, this fraction is less than 1. Step 5: That means Hana can only cut 0 piece, because 2 yard is smaller than 5 yard. The answer is 0.

  3. 5/7 ÷ 1/3 = ? Answer: 15/7 Solution: Write the division problem: 5/7 ÷ 1/3 Change division to multiplication by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1.
    Full step-by-step solution

    Step 1: Write the division problem: 5/7 ÷ 1/3 Step 2: Change division to multiplication by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1. Step 3: Rewrite the problem as multiplication: 5/7 × 3/1 Step 4: Multiply the numerators: 5 × 3 = 15 Step 5: Multiply the denominators: 7 × 1 = 7 Step 6: Write the result as a fraction: 15/7 The answer is 15/7.

  4. 4/5 ÷ 1/2 = ? Answer: 8/5 Solution: Write the division problem: 4/5 ÷ 1/2 Change division to multiplication by the reciprocal of the second fraction. The reciprocal of 1/2 is 2/1.
    Full step-by-step solution

    Step 1: Write the division problem: 4/5 ÷ 1/2 Step 2: Change division to multiplication by the reciprocal of the second fraction. The reciprocal of 1/2 is 2/1. Step 3: Rewrite the problem as multiplication: 4/5 × 2/1 Step 4: Multiply the numerators: 4 × 2 = 8 Step 5: Multiply the denominators: 5 × 1 = 5 Step 6: Write the result as a fraction: 8/5 The answer is 8/5.

  5. A rectangular prism has a length of 12.5 cm, a width of 8.4 cm, and a height of 6.2 cm. What is the volume of this prism in cubic centimeters? Answer: 651 Solution: To find the volume of a rectangular prism, we use the formula: Volume = length × width × height Write down the given dimensions. Length = 12.5 cm Width = 8.4 cm Height = 6.2 cm Multiply the length and the width first.
    Full step-by-step solution

    To find the volume of a rectangular prism, we use the formula: Volume = length × width × height Step 1: Write down the given dimensions. Length = 12.5 cm Width = 8.4 cm Height = 6.2 cm Step 2: Multiply the length and the width first. 12.5 × 8.4 First, multiply 125 × 84 to ignore the decimals for now. 125 × 80 = 10,000 125 × 4 = 500 Add them: 10,000 + 500 = 10,500 Now, since we had one decimal place in 12.5 and one decimal place in 8.4, that's a total of two decimal places we ignored. So we put them back: 10,500 becomes 105.00 So, 12.5 × 8.4 = 105 Step 3: Now multiply this result by the height. We have 105 from the previous step, and we multiply it by the height, 6.2. 105 × 6.2 First, multiply 105 × 62 to ignore the decimal for now. 105 × 60 = 6,300 105 × 2 = 210 Add them: 6,300 + 210 = 6,510 Now, since we had one decimal place in 6.2 that we ignored, we put it back: 6,510 becomes 651.0 Step 4: State the final volume. The volume is 651.0 cubic centimeters, which we write as 651 cm³. Therefore, the volume of the rectangular prism is 651 cubic centimeters.

  6. A factory produces 720 meters of ribbon each day. The ribbon is cut into pieces that are each 3/4 meter long. How many pieces of ribbon does the factory produce each day? Answer: 960 Solution: The factory produces 720 meters of ribbon total Each piece is 3/4 meter long To find how many pieces, divide the total length by the length of each piece: 720 ÷ 3/4 Dividing by a fraction is the same as multiplying by its reciprocal: 720 × 4/3 Calculate 720 × 4 = 2880 Divide 2880 by 3 = 960 The…
    Full step-by-step solution

    Step 1: The factory produces 720 meters of ribbon total Step 2: Each piece is 3/4 meter long Step 3: To find how many pieces, divide the total length by the length of each piece: 720 ÷ 3/4 Step 4: Dividing by a fraction is the same as multiplying by its reciprocal: 720 × 4/3 Step 5: Calculate 720 × 4 = 2880 Step 6: Divide 2880 by 3 = 960 Step 7: The factory produces 960 pieces of ribbon each day The answer is 960.

  7. 2/3 ÷ 1/4 = ? Answer: 8/3 Solution: Write the problem: 2/3 ÷ 1/4 Change division to multiplication by the reciprocal: 2/3 × 4/1 Multiply the numerators: 2 × 4 = 8 Multiply the denominators: 3 × 1 = 3 Write the result: 8/3 The answer is 8/3.
    Full step-by-step solution

    Step 1: Write the problem: 2/3 ÷ 1/4 Step 2: Change division to multiplication by the reciprocal: 2/3 × 4/1 Step 3: Multiply the numerators: 2 × 4 = 8 Step 4: Multiply the denominators: 3 × 1 = 3 Step 5: Write the result: 8/3 The answer is 8/3.

  8. 3/5 ÷ 1/3 = ? Answer: 9/5 Solution: Write the division problem: 3/5 ÷ 1/3 Change division to multiplication by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1.
    Full step-by-step solution

    Step 1: Write the division problem: 3/5 ÷ 1/3 Step 2: Change division to multiplication by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1. Step 3: Rewrite the problem as multiplication: 3/5 × 3/1 Step 4: Multiply the numerators: 3 × 3 = 9 Step 5: Multiply the denominators: 5 × 1 = 5 Step 6: The fraction is 9/5, which is already in simplest form. The answer is 9/5.