Fractions to decimals (repeating)

Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Encourage students to talk through their thinking as they work: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These fractions to decimals (repeating) worksheets work well as daily practice, homework, or a focused review activity.

These fractions to decimals (repeating) worksheets for 5th grade give students the structured, hands-on practice they need to build confidence and fluency. Students work through a range of problem formats, from visual models and diagrams to written equations and word problems, so they encounter fractions to decimals (repeating) from every angle. Each worksheet is designed to build on prior knowledge while introducing the level of challenge appropriate for 5th grade. Practicing fractions to decimals (repeating) at this stage strengthens the mathematical foundations that support more advanced concepts in later grades.

This worksheet is designed for 5th Grade students (Ages 10-11), aligned to Common Core standard 5.NF.B.3. It can also be used as review for early students at the next grade level or as an introduction for advanced students.

Yes. This worksheet works for homeschool, classroom, and tutoring settings. Print individual pages for targeted practice, or print the full set as a packet. Works great as a morning warm-up, independent center activity, or fast-finisher task.

Fractions and decimals are two notations for the same rational numbers, and fifth grade is when students explicitly build the bridge between them (CCSS 5.NBT.A.3, 5.NF.C). A decimal with one decimal place represents tenths: 0.3 equals 3/10. A decimal with two places represents hundredths: 0.47 equals 47/100. The connection runs both ways: fractions with denominators of 10 or 100 convert directly to decimals, while fractions with other denominators require dividing the numerator by the denominator (a process that introduces repeating decimals for some fractions). Understanding this equivalence is foundational: a student who knows 1/4 equals 0.25 can quickly estimate that 3/4 of 20 equals 15 without computing. Worksheets that show both representations side by side (a fraction bar alongside a decimal grid shaded to the same amount) make the equivalence visual before students compute conversions abstractly. This topic also prepares students for comparing and ordering mixed sets of fractions and decimals, which requires fluency with both notations.

The general procedure for converting a fraction to a decimal is long division: divide the numerator by the denominator. For 3/4: 3 divided by 4 is 0.75 (0 remainder 3, then 30 divided by 4 is 7 remainder 2, then 20 divided by 4 is 5). For fractions with denominators of 10, 100, or 1000, the conversion is direct and no division is needed: 7/10 equals 0.7, 23/100 equals 0.23. A useful shortcut applies to fractions whose denominators can be rewritten as powers of 10: 1/4 equals 25/100 equals 0.25 (multiply both by 25). Students should also know key benchmark conversions by heart: 1/2 equals 0.5, 1/4 equals 0.25, 3/4 equals 0.75, 1/5 equals 0.2, 1/3 approximately equals 0.333. Worksheets that include both the direct-denominator method and the long-division method help students see that the results are identical. Repeating decimals (1/3 equals 0.333..., 1/6 equals 0.1666...) should be introduced at the exploratory level so students encounter them without being expected to operate on them.

Benchmark fractions are key reference points that students should know as both fractions and decimals without computing. The most important benchmarks are: 1/2 equals 0.5, 1/4 equals 0.25, 3/4 equals 0.75, 1/5 equals 0.2, 2/5 equals 0.4, 3/5 equals 0.6, 4/5 equals 0.8, 1/10 equals 0.1, 1/100 equals 0.01, and 1/3 approximately equals 0.333. Knowing these benchmarks lets students estimate: is 7/8 closer to 0.5 or 1? Since 4/8 equals 0.5 and 8/8 equals 1.0, 7/8 is close to but less than 1. This kind of estimation is required on standardized assessments and is faster than computing from scratch. Worksheets that ask students to place fractions and their decimal equivalents on the same number line reinforce the idea that fractions and decimals are not two separate number systems but the same values expressed differently. Flashcard-style drill worksheets (convert 3/4 to a decimal without calculating) build the automaticity that supports estimation.