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0.09




What is the fraction for the decimal expansion above?
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1 answer

The decimal 0.09 can be expressed as a fraction. To convert the decimal to a fraction:

  1. Write the decimal as a fraction over 1: \[ 0.09 = \frac{0.09}{1} \]

  2. To eliminate the decimal, multiply the numerator and the denominator by 100 (since there are two decimal places): \[ \frac{0.09 \times 100}{1 \times 100} = \frac{9}{100} \]

Thus, the fraction equivalent of the decimal 0.09 is: \[ \frac{9}{100} \]