The Effortless Shortcut to Turning Any Decimal into a Simplified Fraction
The following reference table maps standard decimal types, their mathematical setups, and the exact factoring path required to reach fully simplified fractions.
| Decimal Type | Raw Fraction Setup | Factor Reduction Path | Simplified Result |
|---|---|---|---|
| 0.6 (Tenths) | 6 / 10 | Divide numerator & denominator by 2 | 3/5 |
| 0.64 (Hundredths) | 64 / 100 | Divide numerator & denominator by 4 | 16/25 |
| 0.125 (Thousandths) | 125 / 1000 | Divide numerator & denominator by 125 | 1/8 |
| 0.333... (Simple Repeating) | 3 / 9 | Divide numerator & denominator by 3 | 1/3 |
| 0.1818... (Dual Repeating) | 18 / 99 | Divide numerator & denominator by 9 | 2/11 |
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how to turn a decimal into a fraction