Fraction Applications

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Fraction Applications · Grade 5 · Worksheet 3

1. Max is filling water balloons for a water fight. Each water balloon holds 3 cup of water. Max has a container with 24 cups of water. How many water balloons can Max fill completely? Answer: 8 Solution: Each water balloon holds 3 cup of water. Max has 24 cups of water total. Divide the total water by the amount per balloon: 24 ÷ 3 = 8.
   Full step-by-step solution

   Step 1: Each water balloon holds 3 cup of water. Step 2: Max has 24 cups of water total. Step 3: Divide the total water by the amount per balloon: 24 ÷ 3 = 8. Step 4: Max can fill 8 water balloons completely.

2. Ava is filling water balloons for a water fight. Each water balloon holds 1 cup of water. Ava has a container with 23 cups of water. How many water balloons can Ava fill completely? Answer: 23 Solution: Each water balloon holds 1 cup of water. Ava has 23 cups of water total. Divide the total water by the amount per balloon: 23 ÷ 1 = 23.
   Full step-by-step solution

   Step 1: Each water balloon holds 1 cup of water. Step 2: Ava has 23 cups of water total. Step 3: Divide the total water by the amount per balloon: 23 ÷ 1 = 23. Step 4: Ava can fill 23 water balloons completely.

3. A construction project requires 3/4 yard of concrete per section. If the project has 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. 24 ÷ 12 = 2 Step 4: The total concrete needed is 2 yards.

4. Matiu is making a traditional feast. Each serving of rewena bread requires 7/8 cup of flour. If he needs to make 12 4/7 servings for the community gathering, how many total cups of flour does he need? Answer: 11 Solution: Convert the mixed number 12 4/7 to an improper fraction. 12 4/7 = (12 × 7 + 4)/7 = (84 + 4)/7 = 88/7. Multiply the flour per serving (7/8 cup) by the number of servings (88/7).
   Full step-by-step solution

   Step 1: Convert the mixed number 12 4/7 to an improper fraction. 12 4/7 = (12 × 7 + 4)/7 = (84 + 4)/7 = 88/7. Step 2: Multiply the flour per serving (7/8 cup) by the number of servings (88/7). 7/8 × 88/7 = (7 × 88)/(8 × 7) = 616/56. Step 3: Simplify the fraction 616/56 by dividing numerator and denominator by 56. 616 ÷ 56 = 11, 56 ÷ 56 = 1. So 616/56 = 11/1 = 11. Step 4: Matiu needs 11 cups of flour in total.

5. A farmer harvested 750 kilograms of apples from his orchard. He sold 3/5 of the harvest to a grocery store and used 1/4 of the remaining apples to make apple pies. What fraction of the original harvest was used for apple pies? Answer: 1/10 Solution: 1. The farmer harvested 750 kg of apples. He sold 3/5 of the harvest to a grocery store.
   Full step-by-step solution

   Let's go step-by-step. 1. The farmer harvested 750 kg of apples. He sold 3/5 of the harvest to a grocery store. Amount sold = 3/5 × 750 = (3 × 750) / 5 = 2250 / 5 = 450 kg. 2. Remaining apples after selling to grocery store: Remaining = 750 − 450 = 300 kg. 3. He used 1/4 of the remaining apples to make apple pies. Amount used for pies = 1/4 × 300 = 300 / 4 = 75 kg. 4. We need the fraction of the original harvest used for pies. Fraction = (Amount for pies) / (Original harvest) = 75 / 750. 5. Simplify 75/750: Divide numerator and denominator by 75: 75 ÷ 75 = 1, 750 ÷ 75 = 10. So, 75/750 = 1/10. Therefore, the fraction of the original harvest used for apple pies is 1/10.

6. Aroha is making a traditional kapa haka costume. Each costume requires 5/6 of a meter of fabric for the skirt and 2/3 of a meter for the top. If she needs to make 12 costumes for the performance, how many total meters of fabric does she need? Answer: 18 Solution: Find the fabric needed for one costume. Add the skirt fabric (5/6 meter) and top fabric (2/3 meter). Convert 2/3 to an equivalent fraction with denominator 6: 2/3 = 4/6.
   Full step-by-step solution

   Step 1: Find the fabric needed for one costume. Add the skirt fabric (5/6 meter) and top fabric (2/3 meter). Convert 2/3 to an equivalent fraction with denominator 6: 2/3 = 4/6. So 5/6 + 4/6 = 9/6 = 3/2 = 1 1/2 meters per costume. Step 2: Multiply the fabric per costume by the number of costumes: 3/2 × 12 = (3 × 12)/2 = 36/2 = 18. Step 3: Aroha needs 18 meters of fabric in total.

7. A recipe calls for 2/3 cup of sugar per batch. If you need to make 4 1/2 batches for a school bake sale, how many cups of sugar 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 sugar per batch (2/3 cup) by the number of batches (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 sugar per batch (2/3 cup) by the number of batches (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 sugar needed is 3 cups.

8. A rectangular garden is divided into 8 equal sections. If 3 sections are planted with tomatoes and 2 sections are planted with carrots, what fraction of the garden is planted with vegetables? Answer: 5/8 Solution: The garden is divided into 8 equal sections. So, each section is 1/8 of the garden. Identify the vegetable sections.
   Full step-by-step solution

   Step 1: Understand the problem. The garden is divided into 8 equal sections. So, each section is 1/8 of the garden. Step 2: Identify the vegetable sections. Tomatoes are planted in 3 sections. Carrots are planted in 2 sections. Step 3: Add the vegetable sections together. 3 sections (tomatoes) + 2 sections (carrots) = 5 sections. Step 4: Convert to a fraction of the whole garden. Since each section is 1/8, 5 sections = 5 × (1/8) = 5/8. Step 5: Conclusion. The fraction of the garden planted with vegetables is 5/8.

9. A recipe calls for 3/4 cup of sugar per batch of cookies. If you need to make 2 2/3 batches for a party, how many total cups of sugar 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 sugar 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 sugar 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 sugar needed is 2 cups.