Respuesta :
Mason is 11 ¾ years old.
Age of Mason = 11 ¾ years
[tex]\begin{gathered} 11\frac{3}{4}=\frac{11\times4+3}{4} \\ 11\frac{3}{4}=\frac{47}{4} \\ \frac{47}{4}=11.75 \end{gathered}[/tex]Age of Mason =47/4
Age of mason = 11 years and 8 months
Lucas is 1 ⅜ years younger than mason
Age of Lucas = Age of Mason - 1 ⅜
[tex]\begin{gathered} \text{Age of Lucas = Age of Mason -1}\frac{3}{8} \\ \text{Age of Lucas = }\frac{47}{4}-\frac{1\times8+3}{3} \\ \text{Age of Lucas = }\frac{47}{4}-\frac{11}{3} \\ \text{Age of Lucas = }\frac{141-44}{12} \\ \text{Age of Lucas = }\frac{97}{12} \\ \text{Age of Lucas =8.033} \\ \text{Age of Lucas = 8 years } \end{gathered}[/tex]Age of Lucas is 97/12 years old
Jane is 1 ⅕ years younger than Lucas.
Age of Jane = Age of Lucas - 1 1/5
[tex]\begin{gathered} \text{ Age of Jane = Age of Lucas - 1}\frac{1}{5} \\ \text{ Age of Jane = }\frac{97}{12}-\frac{1\times5+1}{5} \\ \text{ Age of Jane = }\frac{97}{12}-\frac{6}{5} \\ \text{ Age of Jane = }\frac{485-72}{60} \\ \text{ Age of Jane = }\frac{413}{60} \\ \text{ Age of Jane = }6.9 \\ \text{ Age of Jane = }6\text{ years }9\text{ months} \end{gathered}[/tex]Age of Jane is 6 years 9 months
