Fraction Compare
About This Worksheet
This worksheet helps sixth-grade students compare the values of fraction expressions rather than looking at single fractions by themselves. Each item presents two expressions that may involve addition, subtraction, multiplication, or division with fractions and mixed numbers. Students solve or estimate both sides, then decide which expression is greater, which is less, or whether the two are equal. This makes the activity more thoughtful than a basic comparison page because students must combine computation with number sense. It is especially useful for students who are ready to connect mixed fraction operations with inequality reasoning.
What Students Practice
Students evaluate pairs of fraction expressions and place the correct comparison symbol between them. Some expressions involve mixed numbers, while others use proper fractions and multiple operation types. Students may need to find common denominators, convert mixed numbers, multiply, divide, or simplify before they can compare accurately. In some cases, estimation may be enough to tell which side is larger. This gives students practice choosing efficient strategies instead of automatically doing the longest calculation possible.
Why This Matters
Comparing completed expressions requires students to understand more than just how to calculate. They also need a sense of magnitude so they can judge whether one result should be larger or smaller than another. This helps strengthen the connection between fraction operations and inequalities. It also prepares students for later work with algebraic expressions, equations, and rational-number comparisons. Students who can estimate before solving are more likely to catch mistakes and explain why an answer makes sense.
Teaching Tips
Encourage students to estimate each side before finding exact values. Ask them whether one expression is clearly larger based on the size of the numbers and the operation being used. If exact work is needed, have them solve each side separately and simplify before comparing. Remind students that the comparison symbol should point toward the smaller value. Having them read the finished statement aloud can also help catch a symbol that was accidentally reversed.
Curriculum Standards
This worksheet supports CCSS.MATH.CONTENT.6.NS.A.1 through continued practice with fraction division and mixed fraction computation. It also reinforces comparison reasoning connected to CCSS.MATH.CONTENT.6.NS.C.7, where students compare and order rational values. The use of inequality symbols supports broader Grade 6 algebraic thinking as students interpret relationships between numerical expressions. The worksheet works well for independent practice, enrichment, review, or a formative check after mixed fraction operations have been introduced.