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