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 Applications

Grade 5 · Fractions · Worksheet 1

  1. Zoe is following a recipe for granola bars that calls for 1 cup of honey. Zoe wants to make 3 batches of the recipe. How many cups of honey does Zoe need in total? Answer: ______________
  2. Hana is making a batch of homemade playdough for her class. The recipe calls for 2 1/4 cups of flour and 3/4 cup of salt. She only has a 1/2-cup measuring cup. How many total scoops of the 1/2-cup measuring cup will she need to measure out both the flour and the salt combined? Answer: ______________
  3. Aroha is following a recipe for granola bars that calls for 4 cup of honey. Aroha wants to make 2 batches of the recipe. How many cups of honey does Aroha need in total? Answer: ______________
  4. A rectangular garden is divided into 8 equal sections. If 5 sections are planted with vegetables and the remaining sections are planted with flowers, what fraction of the garden is planted with flowers? Answer: ______________
  5. A construction project requires 3/4 yard of concrete per section. If the project has 5 1/3 sections, how many total yards of concrete are needed? Answer: ______________
  6. Matiu is building a traditional fence. Each section requires 7/9 of a meter of timber. If he needs to build 6 3/7 sections, how many total meters of timber does he need? Answer: ______________
  7. A recipe calls for 3/4 cup of flour per batch of cookies. If you need to make 2 2/3 batches for a class party, how many cups of flour are needed in total? Answer: ______________
  8. Kaia is making a rectangular quilt. The quilt is 7 1/2 feet long and 5 1/4 feet wide. She wants to add a decorative border of ribbon around the entire quilt. The ribbon is sold in rolls that are each 2 3/4 feet long. How many full rolls of ribbon does Kaia need to buy to have enough ribbon to go around the entire quilt? Answer: ______________
lessonbunny.com

Answer Key & Explanations

Fraction Applications · Grade 5 · Worksheet 1

  1. Zoe is following a recipe for granola bars that calls for 1 cup of honey. Zoe wants to make 3 batches of the recipe. How many cups of honey does Zoe need in total? Answer: 3 Solution: The recipe uses 1 cup of honey for one batch. To make 3 batches, multiply the honey per batch by the number of batches: 1 × 3 = 3. So Zoe needs 3 cups of honey in total.
    Full step-by-step solution

    Step 1: The recipe uses 1 cup of honey for one batch. Step 2: To make 3 batches, multiply the honey per batch by the number of batches: 1 × 3 = 3. Step 3: So Zoe needs 3 cups of honey in total.

  2. Hana is making a batch of homemade playdough for her class. The recipe calls for 2 1/4 cups of flour and 3/4 cup of salt. She only has a 1/2-cup measuring cup. How many total scoops of the 1/2-cup measuring cup will she need to measure out both the flour and the salt combined? Answer: 6 Solution: Write the amounts as fractions with denominator 2 to see how many half-cups each is. Flour: 2 1/4 cups = 9/4 cups. How many 1/2 cups in 9/4?
    Full step-by-step solution

    Step 1: Write the amounts as fractions with denominator 2 to see how many half-cups each is. Flour: 2 1/4 cups = 9/4 cups. How many 1/2 cups in 9/4? Divide: 9/4 ÷ 1/2 = 9/4 × 2/1 = 18/4 = 4 1/2 scoops. But we need whole scoops — actually we need the total number of scoops, so we keep it as a mixed number. Salt: 3/4 cup. Divide: 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 1 1/2 scoops. Step 2: Add the scoops: 4 1/2 + 1 1/2 = 6 scoops. The answer is 6 scoops.

  3. Aroha is following a recipe for granola bars that calls for 4 cup of honey. Aroha wants to make 2 batches of the recipe. How many cups of honey does Aroha need in total? Answer: 8 Solution: The recipe uses 4 cup of honey for one batch. To make 2 batches, multiply the honey per batch by the number of batches: 4 × 2 = 8. So Aroha needs 8 cups of honey in total.
    Full step-by-step solution

    Step 1: The recipe uses 4 cup of honey for one batch. Step 2: To make 2 batches, multiply the honey per batch by the number of batches: 4 × 2 = 8. Step 3: So Aroha needs 8 cups of honey in total.

  4. A rectangular garden is divided into 8 equal sections. If 5 sections are planted with vegetables and the remaining sections are planted with flowers, what fraction of the garden is planted with flowers? Answer: 3/8 Solution: The garden is divided into 8 equal sections. Determine how many sections are flowers. We know 5 sections are vegetables.
    Full step-by-step solution

    Step 1: Understand the problem. The garden is divided into 8 equal sections. So the whole garden is represented by 8 sections. Step 2: Determine how many sections are flowers. We know 5 sections are vegetables. The rest are flowers: 8 total sections - 5 vegetable sections = 3 flower sections. Step 3: Write the fraction for flowers. The fraction of the garden that is flowers is: (Number of flower sections) / (Total sections) = 3/8. Step 4: Conclusion. So, 3/8 of the garden is planted with flowers.

  5. A construction project requires 3/4 yard of concrete per section. If the project has 5 1/3 sections, how many total yards of concrete are needed? Answer: 4 Solution: Convert the mixed number 5 1/3 to an improper fraction. 5 1/3 = (5 × 3 + 1)/3 = (15 + 1)/3 = 16/3 Multiply the concrete per section (3/4 yard) by the number of sections (16/3).
    Full step-by-step solution

    Step 1: Convert the mixed number 5 1/3 to an improper fraction. 5 1/3 = (5 × 3 + 1)/3 = (15 + 1)/3 = 16/3 Step 2: Multiply the concrete per section (3/4 yard) by the number of sections (16/3). 3/4 × 16/3 = (3 × 16)/(4 × 3) = 48/12 Step 3: Simplify the fraction 48/12. 48 ÷ 12 = 4 Step 4: The total concrete needed is 4 yards.

  6. Matiu is building a traditional fence. Each section requires 7/9 of a meter of timber. If he needs to build 6 3/7 sections, how many total meters of timber does he need? Answer: 5 Solution: Convert the mixed number 6 3/7 to an improper fraction. 6 3/7 = (6 × 7 + 3)/7 = (42 + 3)/7 = 45/7. Multiply the timber per section (7/9 meter) by the number of sections (45/7).
    Full step-by-step solution

    Step 1: Convert the mixed number 6 3/7 to an improper fraction. 6 3/7 = (6 × 7 + 3)/7 = (42 + 3)/7 = 45/7. Step 2: Multiply the timber per section (7/9 meter) by the number of sections (45/7). 7/9 × 45/7 = (7 × 45)/(9 × 7) = 315/63. Step 3: Simplify the fraction 315/63 by dividing numerator and denominator by 63. 315 ÷ 63 = 5, 63 ÷ 63 = 1. So 315/63 = 5/1 = 5. Step 4: The total timber needed is 5 meters.

  7. A recipe calls for 3/4 cup of flour per batch of cookies. If you need to make 2 2/3 batches for a class party, how many cups of flour are needed in total? Answer: 2 Solution: Convert the mixed number 2 2/3 to an improper fraction. 2 2/3 = (2 × 3 + 2)/3 = (6 + 2)/3 = 8/3 Multiply the flour per batch (3/4 cup) by the number of batches (8/3).
    Full step-by-step solution

    Step 1: Convert the mixed number 2 2/3 to an improper fraction. 2 2/3 = (2 × 3 + 2)/3 = (6 + 2)/3 = 8/3 Step 2: Multiply the flour per batch (3/4 cup) by the number of batches (8/3). 3/4 × 8/3 = (3 × 8)/(4 × 3) = 24/12 Step 3: Simplify the fraction 24/12 by dividing numerator and denominator by 12. 24 ÷ 12 = 2 12 ÷ 12 = 1 24/12 = 2/1 = 2 Step 4: The total flour needed is 2 cups.

  8. Kaia is making a rectangular quilt. The quilt is 7 1/2 feet long and 5 1/4 feet wide. She wants to add a decorative border of ribbon around the entire quilt. The ribbon is sold in rolls that are each 2 3/4 feet long. How many full rolls of ribbon does Kaia need to buy to have enough ribbon to go around the entire quilt? Answer: 10 Solution: Find the perimeter of the quilt. Perimeter = 2 × (length + width). First, add the length and width: 7 1/2 + 5 1/4 = 7 2/4 + 5 1/4 = 12 3/4 feet.
    Full step-by-step solution

    Step 1: Find the perimeter of the quilt. Perimeter = 2 × (length + width). First, add the length and width: 7 1/2 + 5 1/4 = 7 2/4 + 5 1/4 = 12 3/4 feet. Then multiply by 2: 12 3/4 × 2 = 25 2/4 = 25 1/2 feet. The perimeter is 25 1/2 feet. Step 2: Each roll of ribbon is 2 3/4 feet long. Divide the total perimeter by the length of one roll: 25 1/2 ÷ 2 3/4. Convert to improper fractions: 25 1/2 = 51/2, 2 3/4 = 11/4. Then divide: 51/2 ÷ 11/4 = 51/2 × 4/11 = (51 × 4) / (2 × 11) = 204/22 = 102/11 = 9 3/11. Step 3: Since Kaia cannot buy a fraction of a roll, she needs to round up. 9 rolls would only give 9 × 2 3/4 = 24 3/4 feet, which is less than 25 1/2 feet. So she needs 10 full rolls. The answer is 10.