Free Printable WorksheetMathGrade 3Math CurriculumMATH.3.78

3.78 Fraction Comparison Statements and Justifications Worksheet

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Q: What grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 3 Math students. It aligns with educational standard MATH.3.78 (Grade 3 number and operations—fractions practice focused on fraction comparison statements and justifications.).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 3 Math worksheet provides structured practice on 3.78 Fraction Comparison Statements and Justifications. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Select the correct comparison symbol for two fractions and choose the justification statement that correctly references the same whole. (CCSS 3.NF.A.3.d)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 3

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 3.78 Fraction Comparison Statements and Justifications skill assessments:

Problem 1Difficulty: Mastery

Compare 4/8 and 5/8. Choose the option with the correct symbol and a justification that refers to the same whole.

A4/8 > 5/8 because the denominator is 8.

B4/8 < 5/8 because the wholes are the same size and both are split into 8 equal parts. 4 is less than 5, so 4/8 < 5/8.

C4/8 > 5/8 because 4 is less than 5.

D4/8 < 5/8 because Leo's rectangle is larger.

Solution & Explanation:The wholes are the same size and both fractions have denominator 8, so the pieces are the same size. Compare numerators: 4 < 5, so 4/8 < 5/8.

Problem 2Difficulty: Mastery

Compare 3/6 and 4/6. Choose the option with the correct symbol and a justification that refers to the same whole.

A3/6 < 4/6 because Ivy's rectangle is larger.

B3/6 > 4/6 because the denominator is 6.

C3/6 < 4/6 because the wholes are the same size and both are split into 6 equal parts. 3 is less than 4, so 3/6 < 4/6.

D3/6 > 4/6 because 3 is less than 4.

Solution & Explanation:The wholes are the same size and both fractions have denominator 6, so the pieces are the same size. Compare numerators: 3 < 4, so 3/6 < 4/6.

Problem 3Difficulty: Mastery

Compare 2/5 and 3/5. Choose the option with the correct symbol and a justification that refers to the same whole.

A2/5 > 3/5 because 2 is less than 3.

B2/5 < 3/5 because Mason's rectangle is larger.

C2/5 > 3/5 because the denominator is 5.

D2/5 < 3/5 because the wholes are the same size and both are split into 5 equal parts. 2 is less than 3, so 2/5 < 3/5.

Solution & Explanation:The wholes are the same size and both fractions have denominator 5, so the pieces are the same size. Compare numerators: 2 < 3, so 2/5 < 3/5.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 3.78 Fraction Comparison Statements and Justifications worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 3.78 Fraction Comparison Statements and Justifications worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 3.78 Fraction Comparison Statements and Justifications online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 3.78 Fraction Comparison Statements and Justifications interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 3 Math students. It aligns with educational standard MATH.3.78 (Grade 3 number and operations—fractions practice focused on fraction comparison statements and justifications.).