🧱 See It
Half a pizza is half a pizza, no matter which word you use for it. "One half," "0.5," "50%," and "1 out of 2 slices" all describe the exact same amount — they're just different costumes for one number.
✏️ Draw It
One picture, four names:
| Fraction | Decimal | Percent | Ratio |
|---|---|---|---|
| 1/2 | 0.5 | 50% | 1 : 2 |
Same shaded half, four different labels for it.
🔢 Write It
Every conversion routes through one question: "what's this out of 100?"
| From | To | How |
|---|---|---|
| Fraction | Decimal | Divide top by bottom |
| Decimal | Percent | Multiply by 100 |
| Percent | Fraction | Put over 100, simplify |
| Fraction | Ratio | Write as part : whole |
💡 Worked Examples
Example 1 — Convert 3/4 to decimal and percent
- Decimal:
3 ÷ 4 = 0.75 - Percent:
0.75 × 100 = 75% - Answer:
3/4 = 0.75 = 75%
Example 2 — Convert 0.6 to fraction and percent
- Fraction:
0.6 = 6/10 = 3/5(simplified using GCF) - Percent:
0.6 × 100 = 60% - Answer:
0.6 = 3/5 = 60%
🧠 Quick Reference
All four representations describe the same amount. Whenever one feels confusing, convert it to a percent first — "out of 100" is usually the easiest one to picture.