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Compare Like Denominators

Grade 3 · Fractions · Worksheet 1

  1. 3/5 > 2/5 = ?
    • A. false
    • B. true
  2. Liam and Emma are painting a large mural for their school. Liam painted 7/10 of the mural, while Emma painted 5/10 of the mural. Who painted a larger portion of the mural?
    • A. Liam
    • B. They painted equal portions
    • C. Emma
    • D. Cannot be determined
  3. A rectangular classroom bulletin board is divided into 15 equal sections. Students display science projects in 8 sections and art projects in 7 sections. Looking at the bulletin board layout, which type of project takes up more space?
    • A. Art projects
    • B. Cannot be determined
    • C. Science projects
    • D. They take up equal space
  4. Compare: 7/12 ? 5/12
    • A. >
    • B. <
    • C. =
  5. 3/8 > 5/8 ?
    • A. false
    • B. true
  6. Liam and Emma are painting a mural on their school wall. Liam painted 7/10 of the wall with blue paint, while Emma painted 5/10 of the wall with yellow paint. Which student painted a larger portion of the wall?
    • A. Emma
    • B. Cannot be determined
    • C. They painted equal portions
    • D. Liam
  7. A rectangular classroom bulletin board is divided into 20 equal square sections. Students display science projects in 11 sections and art projects in 9 sections. Looking at the bulletin board layout, which type of project takes up more space?
    • A. Art projects
    • B. They take equal space
    • C. Science projects
    • D. Cannot be determined
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Answer Key & Explanations

Compare Like Denominators · Grade 3 · Worksheet 1

  1. 3/5 > 2/5 = ? Answer: B. true Solution: 1. We are comparing the fractions 3/5 and 2/5. 2.
    Full step-by-step solution

    Step-by-step solution: 1. We are comparing the fractions 3/5 and 2/5. 2. Both fractions have the same denominator (5), which means they are divided into the same number of equal parts. 3. When denominators are the same, we can compare the fractions by simply comparing their numerators. 4. Compare the numerators: 3 versus 2. 5. Since 3 is greater than 2, the fraction 3/5 is greater than 2/5. 6. Therefore, the statement "3/5 > 2/5" is true. Final answer: true

  2. Liam and Emma are painting a large mural for their school. Liam painted 7/10 of the mural, while Emma painted 5/10 of the mural. Who painted a larger portion of the mural? Answer: A. Liam Solution: Both fractions have the same denominator of 10, which means they represent parts of the same whole mural. Compare the numerators: 7 and 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 they represent parts of the same whole mural. Step 2: Compare the numerators: 7 and 5. Step 3: Since 7 is greater than 5, 7/10 is greater than 5/10. Step 4: Therefore, Liam painted a larger portion of the mural than Emma. The correct answer is Liam.

  3. A rectangular classroom bulletin board is divided into 15 equal sections. Students display science projects in 8 sections and art projects in 7 sections. Looking at the bulletin board layout, which type of project takes up more space? Answer: C. Science projects Solution: The bulletin board is divided into 15 equal sections, so each section represents the same amount of space. Science projects use 8 sections out of 15. Art projects use 7 sections out of 15.
    Full step-by-step solution

    Step 1: The bulletin board is divided into 15 equal sections, so each section represents the same amount of space. Step 2: Science projects use 8 sections out of 15. Step 3: Art projects use 7 sections out of 15. Step 4: Compare 8 sections and 7 sections - 8 is greater than 7. Step 5: Since science projects use more sections than art projects, science projects take up more space on the bulletin board. The correct answer is Science projects.

  4. Compare: 7/12 ? 5/12 Answer: A. > Solution: Both fractions have the same denominator of 12 Compare the numerators: 7 and 5 Since 7 is greater than 5, 7/12 is greater than 5/12 The correct answer is >.
    Full step-by-step solution

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

  5. 3/8 > 5/8 ? Answer: A. false Solution: Compare the denominators. Both fractions have the same denominator, which is 8. Compare the numerators.
    Full step-by-step solution

    Step 1: Compare the denominators. Both fractions have the same denominator, which is 8. Step 2: Compare the numerators. The numerator of the first fraction is 3. The numerator of the second fraction is 5. Step 3: Apply the rule for comparing fractions with the same denominator. When denominators are equal, the fraction with the larger numerator is larger. Step 4: Compare 3 and 5. 3 is less than 5, so 3/8 is less than 5/8. Step 5: Check the original statement: "3/8 > 5/8". Since 3/8 is less than 5/8, the statement is false. Final Answer: false

  6. Liam and Emma are painting a mural on their school wall. Liam painted 7/10 of the wall with blue paint, while Emma painted 5/10 of the wall with yellow paint. Which student painted a larger portion of the wall? Answer: D. Liam Solution: Both fractions have the same denominator of 10, which means they represent parts of the same whole wall. 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 10, which means they represent parts of the same whole wall. Step 2: Compare the numerators: 7 (Liam's portion) and 5 (Emma's portion). Step 3: Since 7 is greater than 5, 7/10 is greater than 5/10. Step 4: Therefore, Liam painted a larger portion of the wall than Emma. The correct answer is Liam.

  7. A rectangular classroom bulletin board is divided into 20 equal square sections. Students display science projects in 11 sections and art projects in 9 sections. Looking at the bulletin board layout, which type of project takes up more space? Answer: C. Science projects Solution: The bulletin board has 20 equal sections total Science projects use 11 sections Art projects use 9 sections Compare 11 and 9: 11 is greater than 9 Since 11 > 9, science projects take up more space The correct answer is Science projects.
    Full step-by-step solution

    Step 1: The bulletin board has 20 equal sections total Step 2: Science projects use 11 sections Step 3: Art projects use 9 sections Step 4: Compare 11 and 9: 11 is greater than 9 Step 5: Since 11 > 9, science projects take up more space The correct answer is Science projects.