This printable Grade 6 worksheet builds fluency in converting terminating decimals to fractions in simplest form across 18 carefully sequenced problems. Students practice identifying place-value denominators, applying the Greatest Common Factor (GCF), and expressing results as proper fractions, improper fractions, and mixed numbers.
At a Glance
- Grade: 6 · Subject: Math
- Standard: Number Systems & Equivalence — Convert terminating decimals to equivalent fractions in simplest form
- Skill Focus: Decimal-to-fraction conversion using place value and GCF
- Format: 5 pages · 18 problems · Answer key included · PDF
- Best For: Guided practice and independent skill reinforcement
- Time: 30–45 minutes
The worksheet is organized into three labeled parts. Part A (Foundation Practice) contains 4 problems with straightforward tenths and hundredths decimals such as 0.6 and 0.25. Part B (Core Application) includes 10 problems featuring mixed numbers and two real-world contexts — a track athlete's split time and a laboratory specimen mass. Part C (Challenge & Extension) presents 4 multi-step problems, including a ten-thousandths conversion and a comparison task requiring students to find a common denominator and justify their reasoning. A full answer key covers all 18 items.
- Guided practice (Part A, 4 problems): Students convert simple decimals with a Core Concept rule box visible above, fully modeling the three-step conversion process.
- Supported practice (Part B, 10 problems): Students show their initial fraction and the factor used to simplify, providing a structured workspace. Thousandths and mixed numbers appear here.
- Independent practice (Part C, 4 problems): Multi-step challenges with no additional scaffolding, mirroring the gradual-release (I Do, We Do, You Do) model.
How to Use It
Assign Part A as a warm-up after direct instruction on place value and GCF review. Use Parts B and C to gauge depth of understanding. As a formative-assessment tip: scan Part B problem 9 (2.375) — students who correctly identify thousandths and apply GCF = 125 are ready for Part C; those who stall need GCF reteaching. Expected completion time is 30–45 minutes for a full session, or Parts A–B alone in 20–25 minutes.
Who It's For
This worksheet suits Grade 6 students within a fractions-and-decimals unit and also serves as review for Grade 7 students consolidating rational number fluency. Students needing support benefit from pairing it with a place-value anchor chart; those ready for extension will find the Part C comparison task a natural bridge to ordering rational numbers on a number line.
Fluency with decimal-to-fraction conversion is a foundational rational number skill for Grade 6 students. This worksheet addresses the core understanding that terminating decimals have exact fractional equivalents determined by place value, simplified through the Greatest Common Factor. According to Fisher & Frey (2014), structured gradual-release frameworks — in which modeled examples precede supported and then independent practice — significantly improve procedural accuracy and conceptual retention in middle-grades mathematics. This 18-problem resource applies that framework directly: a rule box models the process, Part B requires intermediate steps, and Part C demands multi-step reasoning. The included answer key supports immediate corrective feedback, a practice consistently linked to stronger skill retention. Teachers can use this worksheet for in-class practice, homework, or sub-plan assignments without additional preparation.