Converting Decimal Expansion of Rational Number to Fraction/Examples
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Examples of Converting Decimal Expansion of Rational Number to Fraction
Decimal Number $0 \cdotp 7 \dot 1 82 \dot 8$
The number:
- $0. 7\dot 1 82 \dot 8$
can be expressed as a fraction as:
\(\ds 0. 7 \dot 1 82 \dot 8\) | \(=\) | \(\ds \dfrac {71828 - 7} {10^1 \paren {10^4 - 1} }\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac {71821} {99990}\) |
Decimal Number $0 \cdotp 14 \dot 1 \dot 6$
The number:
- $0. 14 \dot 1 \dot 6$
can be expressed as a fraction as:
\(\ds 0. 14 \dot 1 \dot 6\) | \(=\) | \(\ds \dfrac {1416 - 14} {10^2 \paren {10^2 - 1} }\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac {1402} {9900}\) |