Subtract the fractions \( \frac{47}{9} - \frac{15}{6} \).
Finding a common denominator.
The least common multiple of 9 and 6 is 18. We convert the fractions:
\( \frac{47}{9} = \frac{47 \times 2}{9 \times 2} = \frac{94}{18} \) and \( \frac{15}{6} = \frac{15 \times 3}{6 \times 3} = \frac{45}{18} \).
Performing the subtraction.
Now we subtract the numerators:
\( \frac{94}{18} - \frac{45}{18} = \frac{94 - 45}{18} = \frac{49}{18} \).
The result of the subtraction is \( \boxed{\frac{49}{18}} \).
Calculate the divisions: \( \frac{21}{3} \), \( \frac{21}{18} \), \( \frac{22}{3} \), and \( \frac{217}{18} \).
Calculating \( \frac{21}{3} \).
\( \frac{21}{3} = 7 \).
Calculating \( \frac{21}{18} \).
\( \frac{21}{18} = \frac{7}{6} \).
Calculating \( \frac{22}{3} \).
\( \frac{22}{3} \) remains as is.
Calculating \( \frac{217}{18} \).
\( \frac{217}{18} \) remains as is.
The results of the divisions are \( \boxed{7} \), \( \boxed{\frac{7}{6}} \), \( \boxed{\frac{22}{3}} \), and \( \boxed{\frac{217}{18}} \).
The result of the subtraction is \( \boxed{\frac{49}{18}} \).
The results of the divisions are \( \boxed{7} \), \( \boxed{\frac{7}{6}} \), \( \boxed{\frac{22}{3}} \), and \( \boxed{\frac{217}{18}} \).
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