Number SystemReal Numbers

Terminating or Recurring?

Check whether a fraction gives a terminating decimal expansion.

Numerator13

Denominator125

Simplified fraction

13/125

Decimal

0.104

Expansion

Terminating

p/q — does the denominator have only 2s and 5s?Simplified fraction: 13/125

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p/q terminates only when q (in lowest terms) is of the form 2ᵐ × 5ⁿ.

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