\(2 \frac{1}{2}\) × \(1\frac{2}{3}\)
First, convert \(2\frac{1}{2}\) to an improper fraction. Use this rule: \(a\frac{b}{c} = \frac{ac+b}{c}\) / Your problem should look like: \(\frac{2x2+1}{2}\) × \(1 \frac{2}{3}\)
Second, multiply 2 × 2 to get 4. / Your problem should look like: \(\frac{4+1}{2}\) × \(1 \frac{2}{3}\)
Third, add 4 + 1 to get 5. / Your problem should look like: \(\frac{5}{2}\) × \(1\frac{2}{3}\)
Fourth, convert \(1\frac{2}{3}\) to an improper fraction. Use this rule: \(a\frac{b}{c} = \frac{ac+b}{c}\) / Your problem should look like: \(\frac{5}{2}\) × \(\frac{3+2}{3}\)
Fifth, add 3 + 2 to get 5. / Your problem should look like: \(\frac{5}{2}\) × \(\frac{5}{3}\)
Sixth, apply this rule: \(\frac{a}{b}\) × \(\frac{c}{d} = \frac{ac}{bd}\) / Your problem should look like: \(\frac{5x5}{2x3}\)
Seventh, multiply 5 × 5 to get 25 and 2 × 3 to get 6. / Your problem should look like: \(\frac{25}{6}\)
Eighth, convert to mixed fraction. / Your problem should look like: \(4\frac{1}{6}\)
Answer as fraction: \(4\frac{1}{6}\)
Answer as decimal: 4.1667
