Convert fractions to decimals
key notes :
✅ Fraction to Decimal Means…
A fraction can be changed into a decimal by dividing the numerator ÷ denominator
Example: 12=1÷2=0.5\frac{1}{2} = 1 ÷ 2 = 0.521=1÷2=0.5 ✨
➗ Use Division (Top ÷ Bottom)
- Numerator = Top number 🔼
- Denominator = Bottom number 🔽
Fraction → Decimal = Top ÷ Bottom
🍰 Common Fractions to Decimals
| Fraction | Decimal |
|---|---|
| ½ | 0.5 |
| ¼ | 0.25 |
| ¾ | 0.75 |
| ⅕ | 0.2 |
| ⅒ | 0.1 |
🔟 Tenths and Hundredths
Fractions with 10 or 100 are easier!
- 310=0.3\frac{3}{10} = 0.3103=0.3 🍭
- 25100=0.25\frac{25}{100} = 0.2510025=0.25 🎯
👉 Denominator 10 = 1 decimal place
👉 Denominator 100 = 2 decimal places
🔁 Equivalent Fractions Help
Before dividing, you can change the fraction to one with 10 or 100
Example:
25\frac{2}{5}52 → multiply top & bottom by 2
= 410=0.4\frac{4}{10} = 0.4104=0.4 🎉
🔍 Some Fractions Have Repeating Decimals
If the number repeats, put a bar on top
Example:
13=0.3333…=0.3‾\frac{1}{3} = 0.3333… = 0.\overline{3}31=0.3333…=0.3 ♻️
📏 Decimals Show Parts of a Whole
Fractions and decimals both show parts of a number
Example:
Half of a chocolate 🍫 = 0.5 = ½
🧠 Practice Makes It Easy
Try with simple fractions first, then harder ones.
The more you practice, the faster you convert! 🚀
💡 Quick Steps to Convert
1️⃣ Write the fraction
2️⃣ Divide numerator by denominator
3️⃣ Write the answer as a decimal ✔️
Learn with an example
🎯 Write 9/10 as a decimal number.
- Write the fraction as a decimal number with 1 decimal place.
- 9/10= 0.9
🎯 Write 3/100 as a decimal number.
- Write the fraction as a decimal number with 2 decimal places.
- 3/100= 0.03
🎯 Write 3/10 as a decimal number.
- Write the fraction as a decimal number with 1 decimal place.
- 3/10= 0.3

