Comparing Fractions
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Fractions represent parts of a whole. The numerator (top) counts how many parts you have; the denominator (bottom) shows how many equal parts the whole is divided into.
- 1Add/subtract: find the LCD, convert, then combine numerators
- 2Multiply: multiply numerators, multiply denominators
- 3Divide: multiply by the reciprocal of the divisor
- 4Simplify: divide both parts by their GCF
1/2 + 1/3=5/6LCD=6: 3/6+2/6=5/6
2/3 × 3/4=1/26/12 simplified = 1/2
3/4 ÷ 1/2=3/2Multiply by reciprocal: 3/4 × 2/1
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333 | 33.3% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 3/4 | 0.75 | 75% |
| 2/3 | 0.667 | 66.7% |
| 3/5 | 0.6 | 60% |
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Fun Fact
Ancient Egyptians only used unit fractions (1/n). They wrote 3/4 as 1/2 + 1/4. A papyrus from 1650 BC shows a fraction table with 87 entries.
References
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