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Compare Like Denominators

Grade 3 · Fractions · Worksheet 3

  1. 3/7 ? 5/7 Answer: ______________
  2. A school is organizing a reading challenge where students need to read 100 books total. The 3rd grade class read 7/10 of the books, while the 4th grade class read 5/10 of the books. Which class read a greater fraction of the total books? Answer: ______________
  3. Liam and Emma are painting a mural on their school wall. Liam painted 7/10 of the mural with blue paint, while Emma painted 5/10 of the mural with yellow paint. Who painted a larger portion of the mural?
    • A. Liam
    • B. Emma
    • C. They painted equal portions
  4. A rectangular classroom bulletin board is divided into 20 equal square sections. The teacher displays math projects in 11 sections and science projects in 9 sections. Looking at the bulletin board layout, which type of project takes up more space?
    • A. Science projects
    • B. They take equal space
    • C. Math projects
    • D. Cannot be determined
  5. 7/10 > 4/10 ?
    • 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. Who painted a larger portion of the wall?
    • A. Emma
    • B. They painted equal portions
    • C. Cannot be determined
    • D. Liam
  7. 8/12 ? 5/12 Answer: ______________
  8. 3/5 > 2/5 ?
    • A. no
    • B. yes
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Answer Key & Explanations

Compare Like Denominators · Grade 3 · Worksheet 3

  1. 3/7 ? 5/7 Answer: < Solution: Both fractions have the same denominator of 7. Compare the numerators: 3 and 5. Since 3 is less than 5, 3/7 is less than 5/7.
    Full step-by-step solution

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

  2. A school is organizing a reading challenge where students need to read 100 books total. The 3rd grade class read 7/10 of the books, while the 4th grade class read 5/10 of the books. Which class read a greater fraction of the total books? Answer: 3rd grade Solution: Both fractions have the same denominator of 10, which means the books are divided into 10 equal parts. Compare the numerators: 7 (from 7/10) and 5 (from 5/10). 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 books are divided into 10 equal parts. Step 2: Compare the numerators: 7 (from 7/10) and 5 (from 5/10). Step 3: Since 7 is greater than 5, 7/10 is greater than 5/10. Step 4: Therefore, the 3rd grade class read a greater fraction of the total books. The answer is 3rd grade.

  3. Liam and Emma are painting a mural on their school wall. Liam painted 7/10 of the mural with blue paint, while Emma painted 5/10 of the mural with yellow paint. Who painted a larger portion of the mural? Answer: A. Liam Solution: Both fractions have the same denominator of 10 Compare the numerators: 7 (from Liam's fraction) and 5 (from Emma's fraction) Since 7 is greater than 5, 7/10 is greater than 5/10 Therefore, Liam painted a larger portion of the mural The correct answer is Liam.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 10 Step 2: Compare the numerators: 7 (from Liam's fraction) and 5 (from Emma's fraction) 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 The correct answer is Liam.

  4. A rectangular classroom bulletin board is divided into 20 equal square sections. The teacher displays math projects in 11 sections and science projects in 9 sections. Looking at the bulletin board layout, which type of project takes up more space? Answer: C. Math projects Solution: The bulletin board has 20 equal sections total. Math projects use 11 sections out of 20. Science projects use 9 sections out of 20.
    Full step-by-step solution

    Step 1: The bulletin board has 20 equal sections total. Step 2: Math projects use 11 sections out of 20. Step 3: Science projects use 9 sections out of 20. Step 4: Compare 11 and 9 to see which is larger. Step 5: 11 is greater than 9, so math projects take up more space. The correct answer is Math projects.

  5. 7/10 > 4/10 ? Answer: B. true Solution: Both fractions have the same denominator of 10. Compare the numerators: 7 and 4. Since 7 is greater than 4, 7/10 is greater than 4/10.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 10. Step 2: Compare the numerators: 7 and 4. Step 3: Since 7 is greater than 4, 7/10 is greater than 4/10. Step 4: Therefore, the statement 7/10 > 4/10 is true. The answer is 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. Who painted a larger portion of the wall? Answer: D. Liam Solution: Both fractions have the same denominator of 10, which means the wall was divided into 10 equal parts. Liam painted 7 parts out of 10, which is 7/10. Emma painted 5 parts out of 10, which is 5/10.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 10, which means the wall was divided into 10 equal parts. Step 2: Liam painted 7 parts out of 10, which is 7/10. Step 3: Emma painted 5 parts out of 10, which is 5/10. Step 4: Compare the numerators: 7 is greater than 5. Step 5: Therefore, 7/10 is greater than 5/10. Step 6: Liam painted a larger portion of the wall than Emma.

  7. 8/12 ? 5/12 Answer: > Solution: Both fractions have the same denominator of 12. Compare the numerators: 8 and 5. Since 8 is greater than 5, 8/12 is greater than 5/12.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 12. Step 2: Compare the numerators: 8 and 5. Step 3: Since 8 is greater than 5, 8/12 is greater than 5/12. Step 4: The correct comparison symbol is >. The answer is >.

  8. 3/5 > 2/5 ? Answer: B. yes Solution: Identify the fractions to compare. We are comparing 3/5 and 2/5. Compare the denominators.
    Full step-by-step solution

    Step 1: Identify the fractions to compare. We are comparing 3/5 and 2/5. Step 2: Compare the denominators. Both fractions have the same denominator, which is 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: 2 Since 3 > 2, the fraction with numerator 3 is larger. Step 4: Write the conclusion. 3/5 > 2/5 is true. Final Answer: yes