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Decimal Fractions

Decimal fractions are numbers that have a decimal point, such as 0.25, 4.75, and 8.12. They are a type of fraction where the denominator is a power of 10, such as 10, 100 or 1000. Decimal fractions can be used to express any fraction, allowing us to write fractions with greater precision.

example

\begin{align*} 0.1 &= \frac{1}{10} = 1 \: tenth \\ 0.01 &= \frac{1}{100} = 1 \: hundredth \\ 0.99 &= \frac{99}{100} = 99 \: hundredths \\ 0.008 &= \frac{8}{1000} = 8 \: thousandths \\ \end{align*} \begin{align*} 4.7 &= \frac{47}{10} \\ 8.12 &= \frac{812}{100}\\ 0.25 &= \frac{1}{4} \\ \end{align*}

Examples

\begin{align*} 0.5 &= \frac{1}{2} \\ 0.33333333333 = &= \frac{1}{3} \\ 0.25 &= \frac{1}{4} \\ 0.2 &= \frac{1}{5} \\ 0.16666666666 &= \frac{1}{6} \\ 0.14285714285 &= \frac{1}{7} \\ 0.125 &= \frac{1}{8} \\ 0.11111111111 &= \frac{1}{9} \\ 0.1 &= \frac{1}{10} &= 1 \: tenth \\ \end{align*}

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