To simplify \(27 \frac{1}{3}\), you can convert the mixed number into an improper fraction or a decimal.
-
Convert to an improper fraction: \[ 27 \frac{1}{3} = 27 + \frac{1}{3} = \frac{27 \times 3}{3} + \frac{1}{3} = \frac{81}{3} + \frac{1}{3} = \frac{82}{3} \]
-
Convert to decimal: To convert \(27 \frac{1}{3}\) to a decimal: \[ 27 + \frac{1}{3} \approx 27 + 0.3333... \approx 27.3333... \]
So, \(27 \frac{1}{3}\) can be expressed as either \(\frac{82}{3}\) (as an improper fraction) or approximately \(27.33\) (as a decimal). The simplified form as an improper fraction is \(\frac{82}{3}\).