4) \( 3 \frac{4}{5}-2 \frac{1}{6} \)

Calculate or simplify the expression \( 3\frac{4}{5}-2\frac{1}{6} \). Calculate the value by following steps: - step0: Calculate: \(3\frac{4}{5}-2\frac{1}{6}\) - step1: Convert the expressions: \(\frac{19}{5}-\frac{13}{6}\) - step2: Reduce fractions to a common denominator: \(\frac{19\times 6}{5\times 6}-\frac{13\times 5}{6\times 5}\) - step3: Multiply the numbers: \(\frac{19\times 6}{30}-\frac{13\times 5}{6\times 5}\) - step4: Multiply the numbers: \(\frac{19\times 6}{30}-\frac{13\times 5}{30}\) - step5: Transform the expression: \(\frac{19\times 6-13\times 5}{30}\) - step6: Multiply the numbers: \(\frac{114-13\times 5}{30}\) - step7: Multiply the numbers: \(\frac{114-65}{30}\) - step8: Subtract the numbers: \(\frac{49}{30}\) The result of \(3\frac{4}{5}-2\frac{1}{6}\) is \(\frac{49}{30}\), which can also be written as \(1\frac{19}{30}\) or approximately \(1.6\dot{3}\).