To convert the decimal 5.875 into a mixed fraction, follow these steps:
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Identify the whole number part: The whole number part is 5.
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Convert the decimal part into a fraction: The decimal part is 0.875. To convert 0.875 into a fraction, recognize that 0.875 can be expressed as:
\[ 0.875 = \frac{875}{1000} \]
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Simplify the fraction: Next, simplify \(\frac{875}{1000}\). Both the numerator and the denominator can be divided by 125:
\[ \frac{875 \div 125}{1000 \div 125} = \frac{7}{8} \]
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Combine the whole number with the fraction: Now, write the mixed fraction by combining the whole number with the simplified fraction:
\[ 5.875 = 5 \frac{7}{8} \]
So, \(5.875\) as a mixed fraction is:
\[ 5 \frac{7}{8} \]