➗ Convert Fractions and Mixed Numbers to Decimals (Denominators of 10 and 100)

📖 What the Section Is About

In this lesson, students learn how to change fractions and mixed numbers into decimals when the denominator is 10 or 100. They practice seeing the link between fractions and place value. This makes decimals easier to understand and compare.

🎯 Learning Objectives

✅ Write fractions with denominator 10 as decimals
✅ Write fractions with denominator 100 as decimals
✅ Convert mixed numbers with tenths or hundredths to decimals
✅ Understand that fractions and decimals can show the same value
✅ Use place value to check decimal conversions

🧪 Examples

  • ³/₁₀ = 0.3

  • ⁴⁷/₁₀₀ = 0.47

  • 2 ⁵/₁₀ = 2.5

  • 1 ²⁵/₁₀₀ = 1.25

📘 Key Vocabulary and Definitions

  • Fraction: A number that shows part of a whole

  • Mixed Number: A whole number and a fraction together

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

  • Denominator: The bottom number of a fraction showing parts of a whole

🎲 Fun Practice Activities

  1. Activity Worksheet: Convert fractions with denominators 10 and 100 into decimals

  2. Test Yourself: Change mixed numbers like 3 ⁴/₁₀ or 5 ²⁵/₁₀₀ into decimals

🏡 Offline Homework Idea

Write five fractions with denominator 10 or 100 and convert them into decimals.