➗ Relating Decimals to Fractions
📖 What the Section Is About
In this section, students learn how to change between decimals and fractions. They understand that decimals are another way of writing fractions with denominators of 10, 100, or 1000. Students practice converting, simplifying, and applying this skill in real-life situations.
🎯 Learning Objectives
✅ Recognize that decimals can be written as fractions
✅ Convert decimals to fractions with denominators of 10 or 100
✅ Simplify fractions to lowest terms when possible
✅ Convert fractions to decimals by dividing numerator by denominator
✅ Apply conversions in real-life problems like money, measurement, and data
🧮 Examples
Example 1: Decimal to Fraction
• 0.4 = 4/10 = 2/5
Example 2: Fraction to Decimal
• 3/10 = 0.3
Example 3: Hundredths Example
• 0.75 = 75/100 = 3/4
Example 4: Real-World Context
• $0.25 = 25/100 of a dollar (one quarter)
🔢 Understanding the Connection
1️⃣ Place Value – Tenths, hundredths, and thousandths correspond to fraction denominators 10, 100, and 1000
2️⃣ Decimal to Fraction – Read the decimal and use its place value as the denominator
3️⃣ Simplify – Reduce fractions to lowest terms when possible
4️⃣ Fraction to Decimal – Divide numerator by denominator or adjust denominator to a power of ten
📘 Key Vocabulary and Definitions
• Decimal – A number showing parts of a whole using place value
• Fraction – A number that shows parts of a whole using a numerator and denominator
• Simplify – To write a fraction in its smallest form
• Tenths – One of ten equal parts (0.1)
• Hundredths – One of one hundred equal parts (0.01)
🎲 Fun Practice Activities
🎲 Decimal–Fraction Flip – Flip a card with a decimal and find its matching fraction
🎲 Simplify Race – Convert decimals to fractions and simplify quickly
🎲 Money Match – Use coins to represent decimals and fractions of a dollar
🏡 Offline Homework Idea: “Home Price Hunt”
Find five prices at home (from receipts or packages), write them as decimals, and convert them to fractions in simplest form.