Compare Like Denominators

lessonbunny.com

Answer Key & Explanations

Compare Like Denominators · Grade 3 · Worksheet 1

1. Emma has a rectangular fruit tart divided into 9 equal square slices. She puts blueberries on 5 slices and strawberries on the remaining 4 slices. Looking at the tart layout, which fruit covers more of the tart: blueberries or strawberries? Answer: blueberries Solution: The tart is divided into 9 equal square slices, so each slice is 1/9 of the whole tart. Blueberries cover 5 slices, which is 5/9 of the tart. Strawberries cover 4 slices, which is 4/9 of the tart.
   Full step-by-step solution

   Step 1: The tart is divided into 9 equal square slices, so each slice is 1/9 of the whole tart. Step 2: Blueberries cover 5 slices, which is 5/9 of the tart. Step 3: Strawberries cover 4 slices, which is 4/9 of the tart. Step 4: Both fractions have the same denominator (9), so compare the numerators: 5 and 4. Step 5: 5 is greater than 4, so 5/9 is greater than 4/9. Step 6: Therefore, the blueberries cover more of the tart than the strawberries. The answer is blueberries.

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. 7/9 ? 4/9 Answer: > Solution: Both fractions have the same denominator of 9. Compare the numerators: 7 and 4. Since 7 is greater than 4, 7/9 is greater than 4/9.
   Full step-by-step solution

   Step 1: Both fractions have the same denominator of 9. Step 2: Compare the numerators: 7 and 4. Step 3: Since 7 is greater than 4, 7/9 is greater than 4/9. Step 4: The correct comparison symbol is >. The answer is >.

4. 7/8 > 5/8 ? Answer: A. 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.

5. 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 larger portion of the mural? Answer: B. Liam Solution: Both fractions have the same denominator of 10 Compare the numerators: 7 versus 5 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 versus 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 The correct answer is Liam.

6. A rectangular classroom bulletin board is divided into 20 equal square sections. The teacher displays student artwork in 11 sections and math posters in 9 sections. Looking at the bulletin board layout, which display takes up more space? Answer: B. Student artwork Solution: The bulletin board has 20 equal sections total Student artwork uses 11 sections Math posters use 9 sections Compare 11 and 9 - 11 is greater than 9 Since 11 > 9, student artwork takes up more space The correct answer is Student artwork.
   Full step-by-step solution

   Step 1: The bulletin board has 20 equal sections total Step 2: Student artwork uses 11 sections Step 3: Math posters use 9 sections Step 4: Compare 11 and 9 - 11 is greater than 9 Step 5: Since 11 > 9, student artwork takes up more space The correct answer is Student artwork.

7. Charlotte has a rectangular garden divided into 12 equal square plots. She plants sunflowers in 7 plots and roses in the remaining 5 plots. Looking at the garden layout, which type of flower takes up more space: sunflowers or roses? Answer: sunflowers Solution: The garden is divided into 12 equal square plots, so each plot is 1/12 of the whole garden. Sunflowers are planted in 7 plots, which is 7/12 of the garden.
   Full step-by-step solution

   Step 1: The garden is divided into 12 equal square plots, so each plot is 1/12 of the whole garden. Step 2: Sunflowers are planted in 7 plots, which is 7/12 of the garden. Step 3: Roses are planted in 5 plots (the remaining plots), which is 5/12 of the garden. Step 4: Both fractions have the same denominator (12), so compare the numerators: 7 and 5. Step 5: Since 7 is greater than 5, 7/12 is greater than 5/12. Step 6: Therefore, sunflowers take up more space than roses. The answer is sunflowers.

8. Isabella and Mason are baking cookies for a school fundraiser. They baked 96 cookies in total. Isabella decorated 8/12 of the cookies with sprinkles, and Mason decorated 9/12 of the cookies with frosting. Who decorated a larger portion of the cookies? Answer: Mason Solution: Both fractions have the same denominator (12), meaning the cookies are divided into 12 equal groups. Step 2: Compare the numerators: Isabella decorated 8 parts, Mason decorated 9 parts.
   Full step-by-step solution

   Step 1: Both fractions have the same denominator (12), meaning the cookies are divided into 12 equal groups. Step 2: Compare the numerators: Isabella decorated 8 parts, Mason decorated 9 parts. Step 3: Since 9 is greater than 8, Mason decorated a larger portion. The answer is Mason.