Problem

Simplify :
\[
8 \frac{1}{6}-2 \frac{1}{3}
\]

Answer

Expert–verified
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Answer

Convert the improper fraction back into a mixed number to get the final answer: \(\boxed{5 \frac{5}{6}}\).

Steps

Step 1 :Convert the mixed numbers into improper fractions. The first number, \(8 \frac{1}{6}\), becomes \(\frac{49}{6}\) and the second number, \(2 \frac{1}{3}\), becomes \(\frac{7}{3}\).

Step 2 :Subtract the two fractions: \(\frac{49}{6} - \frac{7}{3} = \frac{35}{6}\).

Step 3 :Convert the improper fraction back into a mixed number to get the final answer: \(\boxed{5 \frac{5}{6}}\).

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