Modes of Representation

Decimal Fraction

Fraction or fractional expression that can be expressed with a denominator that is a power of 10.

Property

All decimal fractions express a decimal number and all decimal numbers can be expressed as a decimal fraction.

Examples

The fractions [latex]\frac{3}{10}, \frac{17}{100}, \frac{27}{1000}[/latex] and [latex]\frac{83}{1\space 000\space 000}[/latex]are decimal fractions. The fractions [latex]\frac{3}{4},\frac{4}{5}, \frac{3}{20}[/latex] and [latex]\frac{17}{25}[/latex] might not seem like they are decimal fractions, because their denominators are not powers of 10. However, we can find an equivalent fraction where the denominator is a power of 10. Therefore, we find [latex]\frac{75}{100},\frac{8}{10}, \frac{15}{100}[/latex] and [latex]\frac{68}{100}[/latex].

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