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Fraction Word Problems

Grade 5 · Fractions · Worksheet 1

  1. 3/5 + 2/7 = ? Answer: ______________
  2. 3/5 + 1/6 = ? Answer: ______________
  3. A rectangular prism is drawn with dimensions: length = 6.4 cm, width = 5.2 cm, and height = 8.7 cm. What is the volume of this prism? Answer: ______________
  4. A farmer planted 3/8 of his field with corn and 2/5 with wheat. What fraction of his field is planted with these crops? Answer: ______________
  5. A baker used 3/7 cup of sugar for cookies and 1/3 cup for frosting. How much sugar was used in total? Answer: ______________
  6. A baker used 2/3 cup of sugar for cookies and 3/8 cup of sugar for frosting. How much sugar was used in total? Answer: ______________
  7. A baker used 3/8 cup of sugar for cookies and 1/6 cup for frosting. How much sugar was used in total? Answer: ______________
  8. A rectangular prism is drawn with a length of 8.4 cm, a width of 5.6 cm, and a height of 7.2 cm. What is the volume of this prism in cubic centimeters?
    Answer: ______________
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Answer Key & Explanations

Fraction Word Problems · Grade 5 · Worksheet 1

  1. 3/5 + 2/7 = ? Answer: 31/35 Solution: Find a common denominator for 3/5 and 2/7. The least common multiple of 5 and 7 is 35.
    Full step-by-step solution

    Step 1: Find a common denominator for 3/5 and 2/7. The least common multiple of 5 and 7 is 35. Step 2: Convert 3/5 to have denominator 35: 3/5 = (3 × 7)/(5 × 7) = 21/35 Step 3: Convert 2/7 to have denominator 35: 2/7 = (2 × 5)/(7 × 5) = 10/35 Step 4: Add the fractions: 21/35 + 10/35 = 31/35 Step 5: Check if the fraction can be simplified: 31/35 is already in simplest form since 31 and 35 have no common factors. The answer is 31/35.

  2. 3/5 + 1/6 = ? Answer: 23/30 Solution: Identify the fractions to add: 3/5 and 1/6 Find a common denominator. The least common multiple of 5 and 6 is 30.
    Full step-by-step solution

    Step 1: Identify the fractions to add: 3/5 and 1/6 Step 2: Find a common denominator. The least common multiple of 5 and 6 is 30. Step 3: Convert 3/5 to have denominator 30: (3 × 6)/(5 × 6) = 18/30 Step 4: Convert 1/6 to have denominator 30: (1 × 5)/(6 × 5) = 5/30 Step 5: Add the fractions: 18/30 + 5/30 = 23/30 Step 6: Check if the fraction can be simplified: 23/30 is already in simplest form since 23 and 30 have no common factors. The answer is 23/30.

  3. A rectangular prism is drawn with dimensions: length = 6.4 cm, width = 5.2 cm, and height = 8.7 cm. What is the volume of this prism? Answer: 289.536 Solution: Write the volume formula for a rectangular prism: Volume = length × width × height Substitute the given values: Volume = 6.4 × 5.2 × 8.7 First multiply 6.4 × 5.2 = 33.28 Then multiply 33.28 × 8.7 = 289.536 Include the units: 289.536 cubic centimeters The volume of the rectangular prism is…
    Full step-by-step solution

    Step 1: Write the volume formula for a rectangular prism: Volume = length × width × height Step 2: Substitute the given values: Volume = 6.4 × 5.2 × 8.7 Step 3: First multiply 6.4 × 5.2 = 33.28 Step 4: Then multiply 33.28 × 8.7 = 289.536 Step 5: Include the units: 289.536 cubic centimeters The volume of the rectangular prism is 289.536 cm³.

  4. A farmer planted 3/8 of his field with corn and 2/5 with wheat. What fraction of his field is planted with these crops? Answer: 31/40 Solution: Identify the fractions to add: 3/8 and 2/5 Find a common denominator. The least common multiple of 8 and 5 is 40.
    Full step-by-step solution

    Step 1: Identify the fractions to add: 3/8 and 2/5 Step 2: Find a common denominator. The least common multiple of 8 and 5 is 40. Step 3: Convert 3/8 to have denominator 40: (3 × 5)/(8 × 5) = 15/40 Step 4: Convert 2/5 to have denominator 40: (2 × 8)/(5 × 8) = 16/40 Step 5: Add the fractions: 15/40 + 16/40 = 31/40 Step 6: Check if the fraction can be simplified: 31/40 is already in simplest form since 31 and 40 have no common factors. The total fraction of the field planted is 31/40.

  5. A baker used 3/7 cup of sugar for cookies and 1/3 cup for frosting. How much sugar was used in total? Answer: 16/21 Solution: Identify the fractions to add: 3/7 and 1/3. Find a common denominator. The denominators are 7 and 3.
    Full step-by-step solution

    Step 1: Identify the fractions to add: 3/7 and 1/3. Step 2: Find a common denominator. The denominators are 7 and 3. The least common multiple of 7 and 3 is 21. Step 3: Convert 3/7 to have denominator 21: (3 × 3)/(7 × 3) = 9/21. Step 4: Convert 1/3 to have denominator 21: (1 × 7)/(3 × 7) = 7/21. Step 5: Add the fractions: 9/21 + 7/21 = 16/21. Step 6: Check if the fraction can be simplified. The numbers 16 and 21 have no common factors other than 1, so 16/21 is already in simplest form. The total amount of sugar used is 16/21 cup.

  6. A baker used 2/3 cup of sugar for cookies and 3/8 cup of sugar for frosting. How much sugar was used in total? Answer: 25/24 Solution: Identify the fractions to add: 2/3 and 3/8 Find a common denominator. The denominators are 3 and 8. The least common multiple of 3 and 8 is 24.
    Full step-by-step solution

    Step 1: Identify the fractions to add: 2/3 and 3/8 Step 2: Find a common denominator. The denominators are 3 and 8. The least common multiple of 3 and 8 is 24. Step 3: Convert 2/3 to have denominator 24: (2 × 8)/(3 × 8) = 16/24 Step 4: Convert 3/8 to have denominator 24: (3 × 3)/(8 × 3) = 9/24 Step 5: Add the fractions: 16/24 + 9/24 = 25/24 Step 6: Check if the fraction can be simplified: 25/24 is already in simplest form since 25 and 24 have no common factors. The total amount of sugar used is 25/24 cups.

  7. A baker used 3/8 cup of sugar for cookies and 1/6 cup for frosting. How much sugar was used in total? Answer: 13/24 Solution: Identify the fractions to add: 3/8 and 1/6 Find a common denominator. The denominators are 8 and 6. The least common multiple of 8 and 6 is 24.
    Full step-by-step solution

    Step 1: Identify the fractions to add: 3/8 and 1/6 Step 2: Find a common denominator. The denominators are 8 and 6. The least common multiple of 8 and 6 is 24. Step 3: Convert 3/8 to have denominator 24: (3 × 3)/(8 × 3) = 9/24 Step 4: Convert 1/6 to have denominator 24: (1 × 4)/(6 × 4) = 4/24 Step 5: Add the fractions: 9/24 + 4/24 = 13/24 Step 6: Check if the fraction can be simplified: 13/24 is already in simplest form since 13 and 24 have no common factors. The total amount of sugar used is 13/24 cup.

  8. A rectangular prism is drawn with a length of 8.4 cm, a width of 5.6 cm, and a height of 7.2 cm. What is the volume of this prism in cubic centimeters? Answer: 338.688 Solution: Recall the formula for volume of a rectangular prism: Volume = length × width × height Substitute the given values: Volume = 8.4 cm × 5.6 cm × 7.2 cm First multiply 8.4 × 5.6 = 47.04 Then multiply 47.04 × 7.2 = 338.688 The volume is 338.688 cubic centimeters
    Full step-by-step solution

    Step 1: Recall the formula for volume of a rectangular prism: Volume = length × width × height Step 2: Substitute the given values: Volume = 8.4 cm × 5.6 cm × 7.2 cm Step 3: First multiply 8.4 × 5.6 = 47.04 Step 4: Then multiply 47.04 × 7.2 = 338.688 Step 5: The volume is 338.688 cubic centimeters