🔄 Convert Decimals to Fractions and Mixed Numbers

📖 What the Section Is About

In this lesson, students learn how to change decimals into fractions and mixed numbers. They use place value to see if a decimal represents tenths or hundredths. This skill helps connect decimals and fractions as two ways of showing the same number.

🎯 Learning Objectives

✅ Convert decimals with tenths into fractions with denominator 10
✅ Convert decimals with hundredths into fractions with denominator 100
✅ Change decimals greater than 1 into mixed numbers
✅ Use place value to check accuracy of conversions
✅ Understand decimals and fractions represent equal values

🧪 Examples

  • 0.6 = ⁶/₁₀

  • 0.25 = ²⁵/₁₀₀

  • 1.7 = 1 ⁷/₁₀

  • 3.42 = 3 ⁴²/₁₀₀

📘 Key Vocabulary and Definitions

  • Decimal: A number with tenths, hundredths, or more, shown with a point

  • Fraction: A way to show part of a whole using a numerator and denominator

  • Mixed Number: A whole number with a fraction

  • Place Value: The value of each digit depending on its position

🎲 Fun Practice Activities

  1. Activity Worksheet: Convert decimals into fractions and mixed numbers

  2. Test Yourself: Write decimals like 2.5 or 0.47 as fractions or mixed numbers

🏡 Offline Homework Idea

Take five decimals from money or measurements (like 0.5 kg or $2.75) and write them as fractions or mixed numbers.