To convert 0.54 to a fraction, we can follow these steps:
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Write 0.54 as a fraction over 1:
\[ 0.54 = \frac{0.54}{1} \]
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To eliminate the decimal, multiply both the numerator and denominator by 100:
\[ \frac{0.54 \times 100}{1 \times 100} = \frac{54}{100} \]
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Now, simplify the fraction \(\frac{54}{100}\). To do this, find the greatest common divisor (GCD) of 54 and 100. The GCD is 2.
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Divide both the numerator and denominator by their GCD:
\[ \frac{54 \div 2}{100 \div 2} = \frac{27}{50} \]
Thus, \(0.54\) written as a fraction in simplified form is:
\[ \frac{27}{50} \]