Fraction Applications

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Fraction Applications · Grade 5 · Worksheet 2

1. Matiu is filling water balloons for a water fight. Each water balloon holds 1 cup of water. Matiu has a container with 8 cups of water. How many water balloons can Matiu fill completely? Answer: 8 Solution: Each water balloon holds 1 cup of water. Matiu has 8 cups of water total. Divide the total water by the amount per balloon: 8 ÷ 1 = 8.
   Full step-by-step solution

   Step 1: Each water balloon holds 1 cup of water. Step 2: Matiu has 8 cups of water total. Step 3: Divide the total water by the amount per balloon: 8 ÷ 1 = 8. Step 4: Matiu can fill 8 water balloons completely.

2. A recipe requires 3/4 cup of milk per batch of pancakes. If you need to make 2 2/3 batches for a family breakfast, how many total cups of milk are needed? 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 milk 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 milk 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 milk needed is 2 cups.

3. A construction crew needs 3/4 yard of concrete for each section of sidewalk. If they need to build 2 2/3 sections, how many total yards of concrete are needed? 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 concrete per section (3/4 yard) by the number of sections (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 concrete per section (3/4 yard) by the number of sections (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 concrete needed is 2 yards.

4. A construction project requires 2/3 of a ton of gravel for each section. If there are 4 1/2 sections to complete, how many tons of gravel are needed in total? Answer: 3 Solution: Convert the mixed number 4 1/2 to an improper fraction. 4 1/2 = (4 × 2 + 1)/2 = (8 + 1)/2 = 9/2 Multiply the gravel per section (2/3 ton) by the number of sections (9/2).
   Full step-by-step solution

   Step 1: Convert the mixed number 4 1/2 to an improper fraction. 4 1/2 = (4 × 2 + 1)/2 = (8 + 1)/2 = 9/2 Step 2: Multiply the gravel per section (2/3 ton) by the number of sections (9/2). 2/3 × 9/2 = (2 × 9)/(3 × 2) = 18/6 Step 3: Simplify the fraction 18/6. 18 ÷ 6 = 3 Step 4: The total gravel needed is 3 tons.

5. Leo is following a recipe for granola bars that calls for 2 cup of honey. Leo wants to make 3 batches of the recipe. How many cups of honey does Leo need in total? Answer: 6 Solution: The recipe uses 2 cup of honey for one batch. To make 3 batches, multiply the honey per batch by the number of batches: 2 × 3 = 6. So Leo needs 6 cups of honey in total.
   Full step-by-step solution

   Step 1: The recipe uses 2 cup of honey for one batch. Step 2: To make 3 batches, multiply the honey per batch by the number of batches: 2 × 3 = 6. Step 3: So Leo needs 6 cups of honey in total.

6. Leo is baking cookies. The recipe calls for 2 cup of sugar for one batch. Leo wants to make 3 batches of cookies. How many cups of sugar will Leo need in total? Answer: 6 Solution: Identify the amount of sugar needed for one batch: 2 cup. Multiply by the number of batches: 2 × 3 = 6. Leo needs 6 cups of sugar for 3 batches.
   Full step-by-step solution

   Step 1: Identify the amount of sugar needed for one batch: 2 cup. Step 2: Multiply by the number of batches: 2 × 3 = 6. Step 3: Leo needs 6 cups of sugar for 3 batches. The answer is 6.

7. Liam is building a rectangular garden bed that measures 3/4 meter long and 2/5 meter wide. He wants to cover the entire garden bed with soil. What is the area of Liam's garden bed in square meters? Answer: 3/10 Solution: To find the area of a rectangle, we multiply its length by its width. Write down the length and width. Length = 3/4 meter Width = 2/5 meter Multiply the length by the width to find the area.
   Full step-by-step solution

   To find the area of a rectangle, we multiply its length by its width. Step 1: Write down the length and width. Length = 3/4 meter Width = 2/5 meter Step 2: Multiply the length by the width to find the area. Area = (3/4) * (2/5) Step 3: Multiply the numerators (the top numbers) together. 3 * 2 = 6 Step 4: Multiply the denominators (the bottom numbers) together. 4 * 5 = 20 Step 5: Write the result of the multiplication as a new fraction. Area = 6/20 Step 6: Simplify the fraction to its lowest terms. Both 6 and 20 can be divided by 2. 6 divided by 2 = 3 20 divided by 2 = 10 Step 7: Write the simplified fraction. Area = 3/10 Therefore, the area of Liam's garden bed is 3/10 square meters.

8. A construction project requires 3/5 of a ton of gravel for each section. If there are 6 2/3 sections to complete, how many tons of gravel are needed in total? Answer: 4 Solution: Convert the mixed number 6 2/3 to an improper fraction. 6 2/3 = (6 × 3 + 2)/3 = (18 + 2)/3 = 20/3 Multiply the gravel per section (3/5 ton) by the number of sections (20/3).
   Full step-by-step solution

   Step 1: Convert the mixed number 6 2/3 to an improper fraction. 6 2/3 = (6 × 3 + 2)/3 = (18 + 2)/3 = 20/3 Step 2: Multiply the gravel per section (3/5 ton) by the number of sections (20/3). 3/5 × 20/3 = (3 × 20)/(5 × 3) = 60/15 Step 3: Simplify the fraction 60/15. 60 ÷ 15 = 4 Step 4: The total gravel needed is 4 tons.

9. A shipping company has 840 packages to deliver. In the morning, they delivered 3/7 of all packages. In the afternoon, they delivered 2/5 of the remaining packages. What fraction of the original 840 packages were delivered in the afternoon? Answer: 8/35 Solution: Morning delivery was 3/7 of all packages Remaining packages after morning = 1 - 3/7 = 7/7 - 3/7 = 4/7 of original Afternoon delivery was 2/5 of the remaining packages Fraction of original delivered in afternoon = 2/5 × 4/7 = 8/35 Check: 8/35 is in simplest form since 8 and 35 share no common…
   Full step-by-step solution

   Step 1: Morning delivery was 3/7 of all packages Step 2: Remaining packages after morning = 1 - 3/7 = 7/7 - 3/7 = 4/7 of original Step 3: Afternoon delivery was 2/5 of the remaining packages Step 4: Fraction of original delivered in afternoon = 2/5 × 4/7 = 8/35 Step 5: Check: 8/35 is in simplest form since 8 and 35 share no common factors The answer is 8/35.