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Convert each decimal to a fraction. \( \begin{array}{ll}\text { a. } 4.875 & \text { b. } 16.232\end{array} \)

Ask by Flynn Rogers. in the United States
Mar 21,2025

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\(4.875 = \frac{39}{8}\) and \(16.232 = \frac{2029}{125}\).

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The Deep Dive

To convert the decimal 4.875 to a fraction, recognize that it has three decimal places. This can be expressed as \( \frac{4875}{1000} \). Simplifying this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 125, yielding \( \frac{39}{8} \). For 16.232, since it has three decimal places as well, it can be expressed as \( \frac{16232}{1000} \). Simplifying this by finding the GCD again, which is 8, we get \( \frac{2029}{125} \). Both fractions are now in their simplest forms!

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