\(\frac{3}{5}\) × \(4 \frac{1}{6}\)
First, convert \(4\frac{1}{6}\) to an improper fraction. Use this rule: \(a \frac{b}{c}\) = \(\frac{ac+b}{c}\) / Your problem should look like: \(\frac{3}{5}\) × \(\frac{4x6+1}{6}\)
Second, simplify 4 × 6 to 24. / Your problem should look like: \(\frac{3}{5}\) × \(\frac{24+1}{6}\)
Third, simplify 24 + 1 to 25. / Your problem should look like: \(\frac{3}{5}\) × \(\frac{25}{6}\)
Fourth, apply this rule: \(\frac{a}{b}\) × \(\frac{c}{d}\) = \(\frac{ac}{bd}\) / Your problem should look like: \(\frac{3x25}{5x6}\)
Fifth, simplify 3 × 25 to 75. / Your problem should look like: \(\frac{75}{5x6}\)
Sixth, simplify 5 × 6 to 30. / Your problem should look like: \(\frac{75}{30}\)
Seventh, simplify. / Your problem should look like: \(\frac{5}{2}\)
Eighth, convert to mixed fraction. / Your problem should look like: \(2\frac{1}{2}\)
Answer: \(2 \frac{1}{2}\)
