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Add/Subtract Mixed Numbers

Grade 4 · Mathematics · Worksheet 3

  1. A rectangular classroom floor is drawn with a length of 12.75 meters and a width of 9.5 meters. What is the total perimeter of the classroom floor?
    Answer: ______________
  2. Maya is reading a book that has 14 pages. Maya has already read 3 pages. How many pages does Maya have left to read? Answer: ______________
  3. 3 2/6 + 2 3/6 = ? Answer: ______________
  4. 4 3/8 + 2 2/8 = ? Answer: ______________
  5. 5 3/8 + 2 2/8 = ? Answer: ______________
  6. 3 2/5 + 1 4/10 = ? Answer: ______________
  7. 3 1/4 + 2 3/8 = ? Answer: ______________
  8. 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: ______________
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Answer Key & Explanations

Add/Subtract Mixed Numbers · Grade 4 · Worksheet 3

  1. A rectangular classroom floor is drawn with a length of 12.75 meters and a width of 9.5 meters. What is the total perimeter of the classroom floor? Answer: 44.5 Solution: Recall the perimeter formula for a rectangle: Perimeter = 2 × length + 2 × width Substitute the given values: Perimeter = 2 × 12.75 + 2 × 9.5 Calculate 2 × 12.75 = 25.5 Calculate 2 × 9.5 = 19 Add the results: 25.5 + 19 = 44.5 The total perimeter is 44.5 meters.
    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 × 12.75 + 2 × 9.5 Step 3: Calculate 2 × 12.75 = 25.5 Step 4: Calculate 2 × 9.5 = 19 Step 5: Add the results: 25.5 + 19 = 44.5 Step 6: The total perimeter is 44.5 meters.

  2. Maya is reading a book that has 14 pages. Maya has already read 3 pages. How many pages does Maya have left to read? Answer: 11 Solution: The book has 14 pages in total. Maya has read 3 pages so far. Subtract to find how many are left: 14 - 3 = 11 pages.
    Full step-by-step solution

    Step 1: The book has 14 pages in total. Step 2: Maya has read 3 pages so far. Step 3: Subtract to find how many are left: 14 - 3 = 11 pages. The answer is 11.

  3. 3 2/6 + 2 3/6 = ? Answer: 5 5/6 Solution: Add the whole numbers: 3 + 2 = 5 Add the fractions: 2/6 + 3/6 = 5/6 Combine the results: 5 + 5/6 = 5 5/6 The answer is 5 5/6.
    Full step-by-step solution

    Step 1: Add the whole numbers: 3 + 2 = 5 Step 2: Add the fractions: 2/6 + 3/6 = 5/6 Step 3: Combine the results: 5 + 5/6 = 5 5/6 The answer is 5 5/6.

  4. 4 3/8 + 2 2/8 = ? Answer: 6 5/8 Solution: Add the whole numbers: 4 + 2 = 6 Add the fractions: 3/8 + 2/8 = 5/8 Combine the results: 6 + 5/8 = 6 5/8 The answer is 6 5/8.
    Full step-by-step solution

    Step 1: Add the whole numbers: 4 + 2 = 6 Step 2: Add the fractions: 3/8 + 2/8 = 5/8 Step 3: Combine the results: 6 + 5/8 = 6 5/8 The answer is 6 5/8.

  5. 5 3/8 + 2 2/8 = ? Answer: 7 5/8 Solution: Add the whole numbers: 5 + 2 = 7 Add the fractions: 3/8 + 2/8 = 5/8 Combine the results: 7 + 5/8 = 7 5/8 The answer is 7 5/8.
    Full step-by-step solution

    Step 1: Add the whole numbers: 5 + 2 = 7 Step 2: Add the fractions: 3/8 + 2/8 = 5/8 Step 3: Combine the results: 7 + 5/8 = 7 5/8 The answer is 7 5/8.

  6. 3 2/5 + 1 4/10 = ? Answer: 4 4/5 Solution: Convert 3 2/5 to an improper fraction: (3 × 5 + 2)/5 = (15 + 2)/5 = 17/5 Convert 1 4/10 to an improper fraction: (1 × 10 + 4)/10 = (10 + 4)/10 = 14/10 Find a common denominator for 17/5 and 14/10.
    Full step-by-step solution

    Step 1: Convert 3 2/5 to an improper fraction: (3 × 5 + 2)/5 = (15 + 2)/5 = 17/5 Step 2: Convert 1 4/10 to an improper fraction: (1 × 10 + 4)/10 = (10 + 4)/10 = 14/10 Step 3: Find a common denominator for 17/5 and 14/10. Since 10 is a multiple of 5, convert 17/5 to 34/10 Step 4: Add the fractions: 34/10 + 14/10 = 48/10 Step 5: Simplify 48/10 by dividing numerator and denominator by 2: 24/5 Step 6: Convert 24/5 back to a mixed number: 24 ÷ 5 = 4 with remainder 4, so 4 4/5 The answer is 4 4/5.

  7. 3 1/4 + 2 3/8 = ? Answer: 5 5/8 Solution: Convert 3 1/4 to an improper fraction: 3 × 4 + 1 = 13/4 Convert 2 3/8 to an improper fraction: 2 × 8 + 3 = 19/8 Find a common denominator for 13/4 and 19/8: The least common denominator is 8 Convert 13/4 to have denominator 8: 13/4 = 26/8 Add the fractions: 26/8 + 19/8 = 45/8 Convert 45/8 back…
    Full step-by-step solution

    Step 1: Convert 3 1/4 to an improper fraction: 3 × 4 + 1 = 13/4 Step 2: Convert 2 3/8 to an improper fraction: 2 × 8 + 3 = 19/8 Step 3: Find a common denominator for 13/4 and 19/8: The least common denominator is 8 Step 4: Convert 13/4 to have denominator 8: 13/4 = 26/8 Step 5: Add the fractions: 26/8 + 19/8 = 45/8 Step 6: Convert 45/8 back to a mixed number: 45 ÷ 8 = 5 with remainder 5, so 5 5/8 The answer is 5 5/8.

  8. 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.