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Grade 3/Fractions

Convert Mixed Numbers to Decimals

Students complete the conversion cycle by changing mixed numbers into decimal form. Working with problems like "1 1/10 = ___" (which equals 1.1) or "2 3/4 = ___" (which equals 2.75), students practice converting the fractional part to decimal form while keeping the whole number part. This requires understanding both fraction-to-decimal conversion and mixed number structure. Students discover that some fractions convert cleanly (halves, fifths, tenths) while others may require learning specific decimal equivalents (quarters = .25, .50, .75). This skill has immediate practical applications in measurement, money, science, and technology where decimal notation predominates.
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Easy
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12 questions
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12 questions
Medium
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12 questions
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12 questions
Hard
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12 questions
2
12 questions
Prerequisites
Convert Fractions to Decimals6 WS
110
= ____
Convert Decimals to Mixed Numbers6 WS
7.3 =
________
Add Mixed Numbers with Like Denominators6 WS
3 16 + 4 26 = ____

Practice Questions

  1. 1 110 = ?
    Show answer

    1.1

  2. 3 710 = ?
    Show answer

    3.7

  3. 2 12 = ?
    Show answer

    2.5

  4. 5 310 = ?
    Show answer

    5.3

  5. 4 910 = ?
    Show answer

    4.9

Teacher Resources
Teaching Notes

This completes the conversion triangle: fractions ↔ decimals ↔ mixed numbers. Strategy: (1) Keep whole number, (2) Convert fraction to decimal, (3) Combine. Students need to memorize common equivalents: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, x/10 = 0.x. Use money connections: 1/4 dollar = $0.25, 1/2 dollar = $0.50, 3/4 dollar = $0.75. Time connections: 1/2 hour = 0.5 hours. Create a reference poster showing common fraction-decimal equivalents. Some students find mixed numbers easier to visualize, others prefer decimals - both are valid and useful. The goal is flexibility to use whichever form fits the situation.

Vocabulary
Mixed Number: A whole number and a fraction.
Decimal: A number with a decimal point.
Common Mistakes
  • Not knowing common fraction-decimal equivalents (1/2, 1/4, 3/4)
  • Forgetting to convert the fraction part
  • Writing just the fraction as a decimal without the whole number
  • Confusing 1/4 with 1/10 (0.25 vs 0.1)
  • Forgetting the whole number
  • Incorrectly converting fraction
  • Misplacing decimal point
  • Confusing tenths/hundredths
Differentiation
SupportProvide a conversion chart showing 1/2=0.5, 1/4=0.25, 3/4=0.75, x/10=0.x. Start with tenths only (easier conversion). Use money models extensively. Break into explicit steps: "Step 1: Write whole number. Step 2: Find fraction as decimal. Step 3: Combine with decimal point." Color-code: wholes in one color, fractions/decimals in another. Allow students to look up equivalents initially.
ChallengeInclude fifths (1/5=0.2, 2/5=0.4, etc.). Challenge: "Find mixed numbers that equal 4.5" (4 1/2, 4 5/10). Mixed practice alternating between all three conversion types. Real-world problems: "A recipe needs 2 3/4 cups, your measuring cup shows decimals, what do you look for?" Ask students to create their own conversion reference materials.
Discussion Questions
  • Which is easier to use in real life: 2 1/2 or 2.5? Does it depend on the situation?
  • Why do calculators and computers prefer decimals?
  • Can you name three fraction-decimal equivalents from memory?
  • How are mixed numbers and decimals similar? Different?
  • When might you want to convert one form to the other?
  • When might you use decimals instead of mixed numbers?
  • How is 1/2 related to 0.5?
  • What patterns do you notice with tenths?
  • Why are 1/4 and 3/4 common conversions?
Extension Activities
  • Create a comprehensive fraction-decimal equivalency chart
  • Real-world measurement: Express room dimensions both ways
  • Money calculations: Convert mixed number dollars to decimal amounts
  • Sports statistics: Many use decimals, express as mixed numbers
  • Pattern investigation: What patterns exist in tenths conversions?
Parent Tip

Ask your child to write measurements like '2 and a half inches' as decimals.

Learning Path
Skill Cluster

Number Sense and Operations

Estimated Time

13 minutes

Skills Practiced
Mixed to decimal conversionFraction decimal equivalentsCommon fraction decimalsFlexible number representation