To solve \( 8 - 3 \frac{5}{6} \), first convert 8 into a fraction that has the same denominator as \( \frac{5}{6} \).
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Convert 8 to a fraction: \[ 8 = \frac{8 \times 6}{6} = \frac{48}{6} \]
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Now, subtract \( 3 \frac{5}{6} \) from \( \frac{48}{6} \): \[ 3 \frac{5}{6} = \frac{3 \times 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6} \]
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Now perform the subtraction: \[ \frac{48}{6} - \frac{23}{6} = \frac{48 - 23}{6} = \frac{25}{6} \]
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The result can also be expressed as a mixed number: \[ \frac{25}{6} = 4 \frac{1}{6} \]
So, \( 8 - 3 \frac{5}{6} = 4 \frac{1}{6} \).