To express the decimal 52.7 as a fraction, we can follow these steps:
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Recognize that 52.7 can be written as \( 52.7 = 52 + 0.7 \).
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Convert the decimal part (0.7) to a fraction. Since \( 0.7 = \frac{7}{10} \), we can now write: \[ 52.7 = 52 + \frac{7}{10} \]
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To combine this into a single fraction, we can convert 52 into a fraction with a denominator of 10: \[ 52 = \frac{520}{10} \]
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Now add the two fractions: \[ 52.7 = \frac{520}{10} + \frac{7}{10} = \frac{520 + 7}{10} = \frac{527}{10} \]
Thus, the decimal 52.7 can be expressed as the fraction \( \frac{527}{10} \).