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Add/Subtract Mixed Numbers

Grade 4 · Mathematics · Worksheet 1

  1. Maria is making trail mix for her hiking trip. She adds 2 3/4 cups of peanuts and 1 2/3 cups of raisins to her bowl. How many total cups of trail mix ingredients has Maria added? Answer: ______________
  2. A rectangular playground is drawn with a length of 24.5 meters and a width of 18.75 meters. What is the total perimeter of the playground?
    Answer: ______________
  3. Liam is baking cookies for a school bake sale. He needs 2 1/4 cups of flour for the chocolate chip cookies and 1 3/4 cups of flour for the sugar cookies. How many cups of flour does Liam need in total? Answer: ______________
  4. 3 2/5 + 4 1/5 = ? Answer: ______________
  5. A rectangular bulletin board is drawn with a length of 3 2/5 feet and a width of 2 1/5 feet. What is the total perimeter of the bulletin board? Answer: ______________
  6. Hana is reading a book that has 40 pages. Hana has already read 11 pages. How many pages does Hana have left to read? Answer: ______________
  7. Noah is building a treehouse and needs to cut two wooden boards. The first board needs to be 4 2/3 feet long and the second board needs to be 3 1/2 feet long. What is the total length of wood Noah needs to cut for both boards? Answer: ______________
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Answer Key & Explanations

Add/Subtract Mixed Numbers · Grade 4 · Worksheet 1

  1. Maria is making trail mix for her hiking trip. She adds 2 3/4 cups of peanuts and 1 2/3 cups of raisins to her bowl. How many total cups of trail mix ingredients has Maria added? Answer: 4 5/12 Solution: Add the whole numbers: 2 + 1 = 3 Find a common denominator for the fractions 3/4 and 2/3. The least common denominator is 12.
    Full step-by-step solution

    Step 1: Add the whole numbers: 2 + 1 = 3 Step 2: Find a common denominator for the fractions 3/4 and 2/3. The least common denominator is 12. Step 3: Convert 3/4 to twelfths: 3/4 = 9/12 Step 4: Convert 2/3 to twelfths: 2/3 = 8/12 Step 5: Add the fractions: 9/12 + 8/12 = 17/12 Step 6: Convert 17/12 to a mixed number: 17/12 = 1 5/12 Step 7: Add the mixed number to the whole number sum: 3 + 1 5/12 = 4 5/12 Maria has added 4 5/12 cups of trail mix ingredients.

  2. A rectangular playground is drawn with a length of 24.5 meters and a width of 18.75 meters. What is the total perimeter of the playground? Answer: 86.5 Solution: Recall the perimeter formula for a rectangle: P = 2 × length + 2 × width Substitute the given values: P = 2 × 24.5 + 2 × 18.75 Calculate 2 × 24.5 = 49 Calculate 2 × 18.75 = 37.5 Add the results: 49 + 37.5 = 86.5 The total perimeter is 86.5 meters
    Full step-by-step solution

    Step 1: Recall the perimeter formula for a rectangle: P = 2 × length + 2 × width Step 2: Substitute the given values: P = 2 × 24.5 + 2 × 18.75 Step 3: Calculate 2 × 24.5 = 49 Step 4: Calculate 2 × 18.75 = 37.5 Step 5: Add the results: 49 + 37.5 = 86.5 Step 6: The total perimeter is 86.5 meters

  3. Liam is baking cookies for a school bake sale. He needs 2 1/4 cups of flour for the chocolate chip cookies and 1 3/4 cups of flour for the sugar cookies. How many cups of flour does Liam need in total? Answer: 4 Solution: Write the amounts as mixed numbers. Chocolate chip cookies: 2 1/4 cups Sugar cookies: 1 3/4 cups Add the whole numbers first. 2 + 1 = 3 Add the fractions.
    Full step-by-step solution

    Let's add the amounts of flour step by step. Step 1: Write the amounts as mixed numbers. Chocolate chip cookies: 2 1/4 cups Sugar cookies: 1 3/4 cups Step 2: Add the whole numbers first. 2 + 1 = 3 Step 3: Add the fractions. 1/4 + 3/4 = (1 + 3)/4 = 4/4 Step 4: Simplify 4/4. 4/4 = 1 Step 5: Add the result from Step 2 and Step 4. 3 + 1 = 4 So, Liam needs 4 cups of flour in total.

  4. 3 2/5 + 4 1/5 = ? Answer: 7 3/5 Solution: Add the whole numbers: 3 + 4 = 7 Add the fractions: 2/5 + 1/5 = 3/5 Combine the results: 7 + 3/5 = 7 3/5 The answer is 7 3/5.
    Full step-by-step solution

    Step 1: Add the whole numbers: 3 + 4 = 7 Step 2: Add the fractions: 2/5 + 1/5 = 3/5 Step 3: Combine the results: 7 + 3/5 = 7 3/5 The answer is 7 3/5.

  5. A rectangular bulletin board is drawn with a length of 3 2/5 feet and a width of 2 1/5 feet. What is the total perimeter of the bulletin board? Answer: 11 1/5 Solution: Recall the perimeter formula for a rectangle: Perimeter = 2 × length + 2 × width Substitute the given values: Perimeter = 2 × 3 2/5 + 2 × 2 1/5 Calculate 2 × 3 2/5 = 2 × 17/5 = 34/5 = 6 4/5 Calculate 2 × 2 1/5 = 2 × 11/5 = 22/5 = 4 2/5 Add the results: 6 4/5 + 4 2/5 = 10 6/5 Simplify 10 6/5 = 10…
    Full step-by-step solution

    Step 1: Recall the perimeter formula for a rectangle: Perimeter = 2 × length + 2 × width Step 2: Substitute the given values: Perimeter = 2 × 3 2/5 + 2 × 2 1/5 Step 3: Calculate 2 × 3 2/5 = 2 × 17/5 = 34/5 = 6 4/5 Step 4: Calculate 2 × 2 1/5 = 2 × 11/5 = 22/5 = 4 2/5 Step 5: Add the results: 6 4/5 + 4 2/5 = 10 6/5 Step 6: Simplify 10 6/5 = 10 + 1 1/5 = 11 1/5 Step 7: The total perimeter is 11 1/5 feet.

  6. Hana is reading a book that has 40 pages. Hana has already read 11 pages. How many pages does Hana have left to read? Answer: 29 Solution: The book has 40 pages in total. Hana has read 11 pages so far. Subtract to find how many are left: 40 - 11 = 29 pages.
    Full step-by-step solution

    Step 1: The book has 40 pages in total. Step 2: Hana has read 11 pages so far. Step 3: Subtract to find how many are left: 40 - 11 = 29 pages. The answer is 29.

  7. Noah is building a treehouse and needs to cut two wooden boards. The first board needs to be 4 2/3 feet long and the second board needs to be 3 1/2 feet long. What is the total length of wood Noah needs to cut for both boards? Answer: 8 1/6 Solution: Add the whole numbers: 4 + 3 = 7 Find a common denominator for the fractions 2/3 and 1/2. The least common denominator is 6.
    Full step-by-step solution

    Step 1: Add the whole numbers: 4 + 3 = 7 Step 2: Find a common denominator for the fractions 2/3 and 1/2. The least common denominator is 6. Step 3: Convert 2/3 to 4/6 (multiply numerator and denominator by 2) Step 4: Convert 1/2 to 3/6 (multiply numerator and denominator by 3) Step 5: Add the fractions: 4/6 + 3/6 = 7/6 Step 6: Convert 7/6 to a mixed number: 7/6 = 1 1/6 Step 7: Add this to the whole number sum: 7 + 1 1/6 = 8 1/6 The answer is 8 1/6 feet.