Convert decimals to fractions
key notes :
🔹 Decimal = A Part of a Whole
- A decimal shows parts of 1 whole 💯
Example: 0.5 means 5 parts out of 10.
🧮 Say the Decimal Name
- Read the decimal using its place value 🎯
Example:
0.4 → “four tenths” → 4/10
📍 Place Value Helps!
| Decimal | Place Value | Fraction |
|---|---|---|
| 0.1 | Tenths | 1/10 |
| 0.01 | Hundredths | 1/100 |
| 0.001 | Thousandths | 1/1000 |
Examples:
- 0.7 = 7/10
- 0.35 = 35/100
- 0.256 = 256/1000
✏️ Remove the Decimal Point
Steps to convert:
1️⃣ Write the digits as a fraction
2️⃣ Denominator = 10, 100, 1000… depending on decimal places
3️⃣ Simplify if needed
Example:
0.6 → 6/10 → 3/5 ✅
🔻 Simplify the Fraction
- Divide numerator and denominator by the GCF (Greatest Common Factor) ✂️
Example:
0.25 = 25/100 = 1/4 🍕
🧠 Whole Numbers with Decimals
- Mixed form → Write the decimal part as a fraction
Example:
2.5 = 2 5/10 = 2 1/2 😊
🌈 Quick Trick
Count decimal places 👇
- 1 digit → denominator 10
- 2 digits → denominator 100
- 3 digits → denominator 1000
Example:
0.034 → 34/1000 → 17/500
📌 Remember
✔ Fractions and decimals show the same value
✔ Always simplify the fraction for the final answer
🌟 Examples for Practice
Convert to fractions:
- 0.8 = ?
- 0.09 = ?
- 1.2 = ?
Learn with an example
✈️ Write 0.91 as a fraction._________
- Write the decimal as a fraction with 100 as the denominator.
- 0.91 =91/100
- 91/100 is written in simplest form.
✈️ Write 0.7 as a fraction.___
- Write the decimal as a fraction with 10 as the denominator.
- 0.7 =7/10
- 7/10 is written in simplest form.
✈️ Write 0.3 as a fraction.______
- Write the decimal as a fraction with 10 as the denominator.
- 0.3 =3/10
- 3/10 is written in simplest form.

