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Add/Subtract Like Denominators

Grade 4 · Fractions · Worksheet 1

  1. 7/12 - 5/12 = ? Answer: ______________
  2. 5/9 + 3/9 = ? Answer: ______________
  3. 3/8 + 5/8 = ? Answer: ______________
  4. 7/11 + 3/11 = ? Answer: ______________
  5. 7/15 + 5/15 = ? Answer: ______________
  6. 9/14 + 3/14 = ? Answer: ______________
  7. 13/19 + 5/19 = ? Answer: ______________
  8. Noah is painting a mural on the classroom wall. On Monday, he painted 5/12 of the mural. On Tuesday, he painted 4/12 more of the mural. What fraction of the entire mural has Noah painted so far? Answer: ______________
  9. Maria was painting a mural on the school wall. On Monday, she painted 5/12 of the total area. On Tuesday, she painted 4/12 more of the wall. What fraction of the entire mural did Maria paint over the two days? Answer: ______________
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Answer Key & Explanations

Add/Subtract Like Denominators · Grade 4 · Worksheet 1

  1. 7/12 - 5/12 = ? Answer: 1/6 Solution: Both fractions have the same denominator (12), so we can subtract the numerators directly.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator (12), so we can subtract the numerators directly. Step 2: Subtract the numerators: 7 - 5 = 2 Step 3: Write the result over the common denominator: 2/12 Step 4: Simplify the fraction by dividing numerator and denominator by their greatest common factor (2): 2 ÷ 2 = 1 and 12 ÷ 2 = 6 Step 5: The simplified fraction is 1/6 The answer is 1/6.

  2. 5/9 + 3/9 = ? Answer: 8/9 Solution: Identify the denominators - both fractions have denominator 9 Add the numerators: 5 + 3 = 8 Keep the same denominator: 8/9 The fraction 8/9 is already in simplest form The answer is 8/9.
    Full step-by-step solution

    Step 1: Identify the denominators - both fractions have denominator 9 Step 2: Add the numerators: 5 + 3 = 8 Step 3: Keep the same denominator: 8/9 Step 4: The fraction 8/9 is already in simplest form The answer is 8/9.

  3. 3/8 + 5/8 = ? Answer: 1 Solution: The fractions have the same denominator (8), so we add the numerators: 3 + 5 = 8. Write the sum over the common denominator: 8/8. Simplify the fraction: 8/8 = 1.
    Full step-by-step solution

    Step 1: The fractions have the same denominator (8), so we add the numerators: 3 + 5 = 8. Step 2: Write the sum over the common denominator: 8/8. Step 3: Simplify the fraction: 8/8 = 1. The answer is 1.

  4. 7/11 + 3/11 = ? Answer: 10/11 Solution: Both fractions have the same denominator (11), so we can add the numerators directly. Add the numerators: 7 + 3 = 10 Keep the same denominator: 10/11 The fraction 10/11 is already in simplest form.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator (11), so we can add the numerators directly. Step 2: Add the numerators: 7 + 3 = 10 Step 3: Keep the same denominator: 10/11 Step 4: The fraction 10/11 is already in simplest form. The answer is 10/11.

  5. 7/15 + 5/15 = ? Answer: 12/15 Solution: Both fractions have the same denominator (15), so we can add the numerators directly.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator (15), so we can add the numerators directly. Step 2: Add the numerators: 7 + 5 = 12 Step 3: Write the result over the common denominator: 12/15 Step 4: The fraction 12/15 is already in simplest form for Grade 4 standards. The answer is 12/15.

  6. 9/14 + 3/14 = ? Answer: 12/14 Solution: Both fractions have the same denominator (14), so we can add the numerators directly.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator (14), so we can add the numerators directly. Step 2: Add the numerators: 9 + 3 = 12 Step 3: Write the result over the common denominator: 12/14 Step 4: The fraction 12/14 can be simplified, but for Grade 4 we leave it as is. The answer is 12/14.

  7. 13/19 + 5/19 = ? Answer: 18/19 Solution: Both fractions have the same denominator (19), so we can add the numerators directly. Add the numerators: 13 + 5 = 18 Write the result over the common denominator: 18/19 The fraction 18/19 is already in simplest form.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator (19), so we can add the numerators directly. Step 2: Add the numerators: 13 + 5 = 18 Step 3: Write the result over the common denominator: 18/19 Step 4: The fraction 18/19 is already in simplest form. The answer is 18/19.

  8. Noah is painting a mural on the classroom wall. On Monday, he painted 5/12 of the mural. On Tuesday, he painted 4/12 more of the mural. What fraction of the entire mural has Noah painted so far? Answer: 9/12 Solution: Identify the fractions to add: 5/12 (Monday) + 4/12 (Tuesday) Since the denominators are the same (12), add the numerators: 5 + 4 = 9 Keep the same denominator: 9/12 Noah has painted 9/12 of the mural in total.
    Full step-by-step solution

    Step 1: Identify the fractions to add: 5/12 (Monday) + 4/12 (Tuesday) Step 2: Since the denominators are the same (12), add the numerators: 5 + 4 = 9 Step 3: Keep the same denominator: 9/12 Step 4: Noah has painted 9/12 of the mural in total.

  9. Maria was painting a mural on the school wall. On Monday, she painted 5/12 of the total area. On Tuesday, she painted 4/12 more of the wall. What fraction of the entire mural did Maria paint over the two days? Answer: 9/12 Solution: Maria painted 5/12 of the mural on Monday. She painted 4/12 more on Tuesday.
    Full step-by-step solution

    Step 1: Maria painted 5/12 of the mural on Monday. Step 2: She painted 4/12 more on Tuesday. Step 3: To find the total fraction painted, add the numerators: 5 + 4 = 9 Step 4: Keep the same denominator: 12 Step 5: The total fraction painted is 9/12 Maria painted 9/12 of the entire mural over the two days.