To convert the mixed number \(3 \frac{5}{6}\) into an improper fraction, follow these steps:
-
Multiply the whole number (3) by the denominator (6):
\(3 \times 6 = 18\) -
Add the numerator (5) to that result:
\(18 + 5 = 23\) -
Write the result over the original denominator (6):
\(\frac{23}{6}\)
Thus, \(3 \frac{5}{6}\) as an improper fraction is \(\frac{23}{6}\).
The correct response is: \(23 \frac{6}{6}\) or simply \(\frac{23}{6}\).