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Jinsi ya kukokotoa Fraction To Decimal

Fraction To Decimal ni nini?

Fraction/decimal converters translate between fractions and decimal representations, handling repeating and terminating decimals.

Fomula

Divide numerator by denominator: 1/4 = 0.25

Mwongozo wa Hatua kwa Hatua

  1. 1Divide numerator by denominator: 1/4 = 0.25
  2. 2Repeating decimals: 1/3 = 0.333... use bar notation
  3. 3Terminating decimals: exact representation

Mifano Iliyotatuliwa

Ingizo
5/8 fraction
Matokeo
0.625 decimal (exact, terminating)
Powers of 2 denominator = terminating

Makosa ya Kawaida ya Kuepuka

  • Assuming all fractions have short decimal representations
  • Not recognizing repeating pattern (can span many digits)

Maswali yanayoulizwa mara kwa mara

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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