To convert the decimal 0.54 into a fraction, you can follow these steps:
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Write 0.54 as a fraction with 1 as the denominator: \[ 0.54 = \frac{0.54}{1} \]
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To eliminate the decimal, multiply both the numerator and the denominator by 100 (because there are two digits after the decimal point): \[ \frac{0.54 \times 100}{1 \times 100} = \frac{54}{100} \]
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Simplify the fraction. The greatest common divisor (GCD) of 54 and 100 is 2: \[ \frac{54 \div 2}{100 \div 2} = \frac{27}{50} \]
Therefore, 0.54 as a fraction in simplest form is: \[ \frac{27}{50} \]