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Compare Like Denominators

Grade 3 · Fractions · Worksheet 2

  1. Liam and Emma are painting a mural on the school wall. Liam painted 7/10 of the mural, while Emma painted 5/10 of the mural. Who painted a greater portion of the mural?
    • A. Liam
    • B. They painted equal portions
    • C. Emma
  2. A rectangular classroom bulletin board is divided into 15 equal sections. The teacher displays math projects in 8 sections and science projects in 7 sections. Looking at the bulletin board layout, which type of project takes up more space?
    • A. Cannot be determined
    • B. They take up equal space
    • C. Science projects
    • D. Math projects
  3. 3/5 < 4/5 = ?
    • A. false
    • B. true
  4. 5/12 ? 7/12 Answer: ______________
  5. 3/8 < 5/8 ?
    • A. true
    • B. false
  6. Liam and Emma are painting a large mural for their school. The mural is divided into 12 equal sections. Liam painted 7/12 of the mural, while Emma painted 5/12 of the mural. Who painted a larger portion of the mural?
    • A. Emma
    • B. Cannot be determined
    • C. Liam
    • D. They painted equal portions
  7. A farmer harvested 120 apples from her orchard. She noticed that 7/12 of the apples were perfectly round, while 5/12 of the apples were slightly irregular. Which type of apple did she harvest more of?
    • A. Not enough information
    • B. Perfectly round apples
    • C. Both types equally
    • D. Slightly irregular apples
  8. 7/8 > 5/8 ?
    • A. no
    • B. yes
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Answer Key & Explanations

Compare Like Denominators · Grade 3 · Worksheet 2

  1. Liam and Emma are painting a mural on the school wall. Liam painted 7/10 of the mural, while Emma painted 5/10 of the mural. Who painted a greater portion of the mural? Answer: A. Liam Solution: Both fractions have the same denominator of 10, which means the mural is divided into 10 equal parts. Compare the numerators: 7 versus 5. Since 7 is greater than 5, 7/10 is greater than 5/10.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 10, which means the mural is divided into 10 equal parts. Step 2: Compare the numerators: 7 versus 5. Step 3: Since 7 is greater than 5, 7/10 is greater than 5/10. Step 4: Therefore, Liam painted a greater portion of the mural than Emma. The correct answer is Liam.

  2. A rectangular classroom bulletin board is divided into 15 equal sections. The teacher displays math projects in 8 sections and science projects in 7 sections. Looking at the bulletin board layout, which type of project takes up more space? Answer: D. Math projects Solution: The bulletin board is divided into 15 equal sections, so each section represents 1/15 of the total space. Math projects occupy 8 out of 15 sections, which is 8/15 of the bulletin board.
    Full step-by-step solution

    Step 1: The bulletin board is divided into 15 equal sections, so each section represents 1/15 of the total space. Step 2: Math projects occupy 8 out of 15 sections, which is 8/15 of the bulletin board. Step 3: Science projects occupy 7 out of 15 sections, which is 7/15 of the bulletin board. Step 4: Since both fractions have the same denominator (15), we compare the numerators: 8 is greater than 7. Step 5: Therefore, 8/15 is greater than 7/15, so math projects take up more space. The correct answer is Math projects.

  3. 3/5 < 4/5 = ? Answer: B. true Solution: We are given the inequality 3/5 < 4/5 and asked whether it is true. Compare the two fractions. Both fractions have the same denominator (5).
    Full step-by-step solution

    Step 1: Understand the problem. We are given the inequality 3/5 < 4/5 and asked whether it is true. Step 2: Compare the two fractions. Both fractions have the same denominator (5). When denominators are the same, we only need to compare the numerators. Step 3: Compare the numerators. Numerator of first fraction: 3 Numerator of second fraction: 4 Since 3 is less than 4, the fraction 3/5 is less than 4/5. Step 4: Write the conclusion. 3/5 < 4/5 is a true statement. Final Answer: true

  4. 5/12 ? 7/12 Answer: < Solution: Both fractions have the same denominator of 12. Compare the numerators: 5 and 7. Since 5 is less than 7, 5/12 is less than 7/12.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 12. Step 2: Compare the numerators: 5 and 7. Step 3: Since 5 is less than 7, 5/12 is less than 7/12. Step 4: The correct comparison symbol is <. The answer is <.

  5. 3/8 < 5/8 ? Answer: A. true Solution: Compare the denominators of the two fractions. Both fractions have the same denominator, which is 8. When denominators are the same, compare the numerators.
    Full step-by-step solution

    Step 1: Compare the denominators of the two fractions. Both fractions have the same denominator, which is 8. Step 2: When denominators are the same, compare the numerators. The first fraction has numerator 3, the second fraction has numerator 5. Step 3: Determine which numerator is larger. Since 3 is less than 5, the fraction 3/8 is less than 5/8. Step 4: Write the inequality. 3/8 < 5/8 is a true statement. Final Answer: true

  6. Liam and Emma are painting a large mural for their school. The mural is divided into 12 equal sections. Liam painted 7/12 of the mural, while Emma painted 5/12 of the mural. Who painted a larger portion of the mural? Answer: C. Liam Solution: Both fractions have the same denominator of 12, which means the mural is divided into 12 equal sections. Compare the numerators: 7 (Liam's portion) and 5 (Emma's portion).
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 12, which means the mural is divided into 12 equal sections. Step 2: Compare the numerators: 7 (Liam's portion) and 5 (Emma's portion). Step 3: Since 7 is greater than 5, 7/12 is greater than 5/12. Step 4: Therefore, Liam painted a larger portion of the mural than Emma. The correct answer is Liam.

  7. A farmer harvested 120 apples from her orchard. She noticed that 7/12 of the apples were perfectly round, while 5/12 of the apples were slightly irregular. Which type of apple did she harvest more of? Answer: B. Perfectly round apples Solution: Both fractions have the same denominator of 12, so we can compare the numerators directly. The fraction for perfectly round apples is 7/12, and the fraction for slightly irregular apples is 5/12.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 12, so we can compare the numerators directly. Step 2: The fraction for perfectly round apples is 7/12, and the fraction for slightly irregular apples is 5/12. Step 3: Compare the numerators: 7 is greater than 5. Step 4: Since 7/12 > 5/12, there are more perfectly round apples than slightly irregular apples. The correct answer is Perfectly round apples.

  8. 7/8 > 5/8 ? Answer: B. yes Solution: Both fractions have the same denominator of 8 Compare the numerators: 7 and 5 Since 7 is greater than 5, 7/8 is greater than 5/8 Therefore, the statement 7/8 > 5/8 is true The answer is yes.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 8 Step 2: Compare the numerators: 7 and 5 Step 3: Since 7 is greater than 5, 7/8 is greater than 5/8 Step 4: Therefore, the statement 7/8 > 5/8 is true The answer is yes.