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Compare Like Denominators

Grade 3 · Fractions · Worksheet 2

  1. 7/12 ? 11/12 Answer: ______________
  2. 4/6 ? 2/6 Answer: ______________
  3. Liam and Emma are painting a mural on a long wall. Liam painted 7/10 of the wall with blue paint, while Emma painted 5/10 of the wall with red paint. Who painted a larger portion of the wall?
    • A. They painted equal portions
    • B. Emma
    • C. Cannot be determined
    • D. Liam
  4. 7/12 < 5/12 ?
    • A. false
    • B. true
  5. 3/8 + 2/8 = ? Answer: ______________
  6. Compare: 5/8 ? 3/8
    • A. <
    • B. >
    • C. =
  7. Aroha has a rectangular chocolate bar divided into 7 equal square pieces. She eats 3 pieces and gives 4 pieces to her friend Tane. Looking at the chocolate bar layout, who has more chocolate: Aroha or Tane? Answer: ______________
  8. Noah and Ava are planting flowers in a rectangular garden bed that is divided into 6 equal sections. Noah planted marigolds in 1/6 of the bed, and Ava planted sunflowers in 5/6 of the bed. Who planted a larger portion of the garden bed? Answer: ______________
  9. Matiu has a rectangular chocolate bar divided into 8 equal square pieces. He eats 3 pieces and gives the remaining 5 pieces to his sister Mere. Looking at the chocolate bar layout, who eats more of the chocolate bar: Matiu or Mere? Answer: ______________
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Answer Key & Explanations

Compare Like Denominators · Grade 3 · Worksheet 2

  1. 7/12 ? 11/12 Answer: < Solution: Both fractions have the same denominator of 12. Compare the numerators: 7 and 11. Since 7 is less than 11, 7/12 is less than 11/12.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator of 12. Step 2: Compare the numerators: 7 and 11. Step 3: Since 7 is less than 11, 7/12 is less than 11/12. Step 4: The correct comparison symbol is <. The answer is <.

  2. 4/6 ? 2/6 Answer: > Solution: Both fractions have the same denominator, 6. Compare the numerators: 4 and 2. Since 4 is greater than 2, 4/6 is greater than 2/6.
    Full step-by-step solution

    Step 1: Both fractions have the same denominator, 6. Step 2: Compare the numerators: 4 and 2. Step 3: Since 4 is greater than 2, 4/6 is greater than 2/6. Step 4: The correct symbol is >. The answer is >.

  3. Liam and Emma are painting a mural on a long wall. Liam painted 7/10 of the wall with blue paint, while Emma painted 5/10 of the wall with red 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 out of 10 parts (7/10). Emma painted 5 out of 10 parts (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 out of 10 parts (7/10). Step 3: Emma painted 5 out of 10 parts (5/10). Step 4: Compare the numerators: 7 is greater than 5. Step 5: Therefore, 7/10 is greater than 5/10, so Liam painted a larger portion of the wall. The correct answer is Liam.

  4. 7/12 < 5/12 ? Answer: A. false Solution: Both fractions have denominator 12 Compare the numerators: 7 and 5 Since 7 is greater than 5, 7/12 is greater than 5/12 The statement says 7/12 < 5/12, which means 7/12 is less than 5/12 This is false because 7/12 is actually greater than 5/12 The answer is false.
    Full step-by-step solution

    Step 1: Both fractions have denominator 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: The statement says 7/12 < 5/12, which means 7/12 is less than 5/12 Step 5: This is false because 7/12 is actually greater than 5/12 The answer is false.

  5. 3/8 + 2/8 = ? Answer: 5/8 Solution: Identify the problem. We are adding two fractions: 3/8 and 2/8. Check the denominators.
    Full step-by-step solution

    Step 1: Identify the problem. We are adding two fractions: 3/8 and 2/8. Step 2: Check the denominators. Both fractions have the same denominator, which is 8. When fractions have the same denominator, it means we are adding parts of the same size, so we can add the numerators directly. Step 3: Add the numerators. Take the numerator of the first fraction, which is 3, and add it to the numerator of the second fraction, which is 2. 3 + 2 = 5 Step 4: Write the result as a fraction. Keep the common denominator, which is 8, and place the sum of the numerators over it. This gives us 5/8. Step 5: Check if the fraction can be simplified. The fraction 5/8 is already in its simplest form because 5 and 8 have no common factors other than 1. Final Answer: 5/8

  6. Compare: 5/8 ? 3/8 Answer: B. > Solution: Both fractions have the same denominator of 8 Compare the numerators: 5 and 3 Since 5 is greater than 3, 5/8 is greater than 3/8
    Full step-by-step solution

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

  7. Aroha has a rectangular chocolate bar divided into 7 equal square pieces. She eats 3 pieces and gives 4 pieces to her friend Tane. Looking at the chocolate bar layout, who has more chocolate: Aroha or Tane? Answer: Tane Solution: The chocolate bar is divided into 7 equal pieces, so each piece is 1/7 of the whole bar. Aroha eats 3 pieces, which is 3/7 of the bar. Tane gets 4 pieces, which is 4/7 of the bar.
    Full step-by-step solution

    Step 1: The chocolate bar is divided into 7 equal pieces, so each piece is 1/7 of the whole bar. Step 2: Aroha eats 3 pieces, which is 3/7 of the bar. Step 3: Tane gets 4 pieces, which is 4/7 of the bar. Step 4: Both fractions have the same denominator (7), so compare the numerators: 3 and 4. Step 5: 4 is greater than 3, so 4/7 is greater than 3/7. Step 6: Therefore, Tane has more chocolate than Aroha. The answer is Tane.

  8. Noah and Ava are planting flowers in a rectangular garden bed that is divided into 6 equal sections. Noah planted marigolds in 1/6 of the bed, and Ava planted sunflowers in 5/6 of the bed. Who planted a larger portion of the garden bed? Answer: Ava Solution: The garden bed is divided into 6 equal sections, so the denominator is 6. Step 2: Noah planted in 1/6 of the bed, which means he planted in 1 out of the 6 sections.
    Full step-by-step solution

    Step 1: The garden bed is divided into 6 equal sections, so the denominator is 6. Step 2: Noah planted in 1/6 of the bed, which means he planted in 1 out of the 6 sections. Step 3: Ava planted in 5/6 of the bed, which means she planted in 5 out of the 6 sections. Step 4: Compare the numerators: 5 is greater than 1, so 5/6 is greater than 1/6. Step 5: Therefore, Ava planted a larger portion of the garden bed. The answer is Ava.

  9. Matiu has a rectangular chocolate bar divided into 8 equal square pieces. He eats 3 pieces and gives the remaining 5 pieces to his sister Mere. Looking at the chocolate bar layout, who eats more of the chocolate bar: Matiu or Mere? Answer: Mere Solution: The chocolate bar is divided into 8 equal square pieces, so each piece is 1/8 of the whole bar. Matiu eats 3 pieces, which is 3/8 of the bar. Mere gets the remaining 5 pieces, which is 5/8 of the bar.
    Full step-by-step solution

    Step 1: The chocolate bar is divided into 8 equal square pieces, so each piece is 1/8 of the whole bar. Step 2: Matiu eats 3 pieces, which is 3/8 of the bar. Step 3: Mere gets the remaining 5 pieces, which is 5/8 of the bar. Step 4: Both fractions have the same denominator (8), so compare the numerators: 3 and 5. Step 5: 5 is greater than 3, so 5/8 is greater than 3/8. Step 6: Therefore, Mere eats more of the chocolate bar than Matiu. The answer is Mere.