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