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Printable Fractions and Decimals Review | Grades 5-7

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Description

Mastery of fractions and decimals is a cornerstone of middle school mathematics. This comprehensive review worksheet provides students with targeted practice in converting between these two numerical representations, comparing values, and solving real-world word problems. By the end of these exercises, learners will demonstrate increased fluency in decimal notation and fraction simplification.

At a Glance

  • Grade: 5-7 · Subject: Math
  • Standard: CCSS.MATH.CONTENT.5.NF.B.3 — Interpret a fraction as division of the numerator by the denominator
  • Skill Focus: Fraction and decimal conversion, comparison, and application
  • Format: 3 pages · 28 problems · Answer key included · PDF
  • Best For: End-of-unit review or assessment preparation
  • Time: 30–45 minutes

This three-page PDF features 28 diverse tasks organized into four logical segments. Page one begins with conversion drills for fractions with denominators of 10, 100, and 1000. Page two transitions to decimal-to-fraction conversions and mixed comparison practice using inequality symbols. The final page challenges students with four multi-step word problems involving currency, measurement, and percentages. The layout is clean and focused, ensuring students can work independently.

  • Guided practice: Students start with basic conversions using visual cues and standard place value denominators (10, 100, 1000) for 12 introductory problems.
  • Supported practice: The worksheet shifts to reverse conversions and comparison tasks, requiring students to identify equivalent values across 12 items.
  • Independent practice: Four word problems require students to apply their conversion skills to solve practical money and measurement scenarios.

This sequence ensures a smooth gradual-release from teacher-led modeling to independent student mastery.

Primary focus is CCSS.MATH.CONTENT.5.NF.B.3: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. This resource also supports CCSS.MATH.CONTENT.5.NBT.A.3 by requiring students to read, write, and compare decimals to thousandths. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

For formative assessment, assign the first two pages as an in-class activity to gauge student mastery of conversion rules before proceeding to word problems. Alternatively, use the worksheet in math stations by dividing it into its four parts, allowing students to focus on specific sub-skills in small groups. Expected completion time for the full set is 35 minutes; observe students during Part 3 to see if they convert to a common format before comparing.

This resource is designed for students in Grades 5 through 7 who are strengthening their rational number sense. It is particularly effective for learners needing extra scaffolding with place value or those transitioning from concrete fractions to abstract decimal values. It can be used as a primary practice tool or as a remedial resource for older students. Pair this with a place value anchor chart for maximum student independence during the comparison phase.

Instructional materials that bridge abstract fraction notation and decimal representations are vital for algebraic readiness, as highlighted by the RAND AIRS 2024 report. This worksheet directly addresses this by offering 28 structured problems emphasizing the relationship between numerators and denominators as division operations. Aligned with CCSS.MATH.CONTENT.5.NF.B.3, it helps students internalize fractions as expressions of division—a critical concept for higher-level thinking. By integrating real-world applications (currency, measurement), the worksheet ensures practical utility. Educators can rely on this proven resource to enhance decimal fluency and meet rigorous standards for rational number comparison, aligning with evidence-based practices in middle-grade mathematics.