7. $$ 8 \frac{1}{6}-3 \frac{5}{6} $$

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UpStudy AI · Accepted Answer

1. Convert the mixed numbers to improper fractions:

$$
   8 \frac{1}{6} = \frac{8 \times 6 + 1}{6} = \frac{48 + 1}{6} = \frac{49}{6}
   $$
   
   $$
   3 \frac{5}{6} = \frac{3 \times 6 + 5}{6} = \frac{18 + 5}{6} = \frac{23}{6}
   $$

2. Subtract the fractions:

$$
   \frac{49}{6} - \frac{23}{6} = \frac{49 - 23}{6} = \frac{26}{6}
   $$

3. Simplify the fraction:

$$
   \frac{26}{6} = \frac{13}{3}
   $$

4. Convert the improper fraction $$ \frac{13}{3} $$ back to a mixed number:

Divide $$ 13 $$ by $$ 3 $$:

$$
   13 \div 3 = 4 \text{ remainder } 1
   $$
   
   So,

$$
   \frac{13}{3} = 4 \frac{1}{3}
   $$

The final result is $$ 4 \frac{1}{3} $$.
$$ 4 \frac{1}{3} $$

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