Converting Decimal Expansion of Rational Number to Fraction/Examples/0.1416
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Example of Converting Decimal Expansion of Rational Number to Fraction
The number:
- $0. 14 \dot 1 \dot 6$
can be expressed as a fraction as:
\(\ds 0. 14 \dot 1 \dot 6\) | \(=\) | \(\ds \dfrac {1416 - 14} {10^2 \paren {10^2 - 1} }\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac {1402} {9900}\) |