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Fraction/decimal converters translate between fractions and decimal representations, handling repeating and terminating decimals.
Formel
Divide numerator by denominator: 1/4 = 0.25
Steg-för-steg-guide
- 1Divide numerator by denominator: 1/4 = 0.25
- 2Repeating decimals: 1/3 = 0.333... use bar notation
- 3Terminating decimals: exact representation
Lösta exempel
Ingång
5/8 fraction
Resultat
0.625 decimal (exact, terminating)
Powers of 2 denominator = terminating
Vanliga misstag att undvika
- ✕Assuming all fractions have short decimal representations
- ✕Not recognizing repeating pattern (can span many digits)
Vanliga frågor
Which fractions create repeating decimals?
If denominator (reduced) has only factors 2 and 5: terminating. Others: repeating.
How long is the repeating cycle?
Varies: 1/3 repeats with period 1, 1/7 repeats with period 6. Related to modular arithmetic.
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