Question

Sarah is 11 4/5 years old. Greg is 1 1/6

years younger than Sarah and Jane is 1 1/3 years younger than Greg. How old is Jane?

Answer 1

first off, let's convert all those mixed fractions to improper fractions and then subtract.

`\stackrel{mixed}{11(4)/(5)}\implies \cfrac{11\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{59}{5}} ~\hfill \stackrel{mixed}{1(1)/(6)}\implies \cfrac{1\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{7}{6}} \\\\\\ \stackrel{mixed}{1(1)/(3)}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill`

`\stackrel{Sarah}{\cfrac{59}{5}}\hspace{5em}\stackrel{Greg}{Sarah - \cfrac{7}{6}} \hspace{5em}\stackrel{Jane}{Greg - \cfrac{4}{3}} \\\\\\ \stackrel{\textit{\LARGE Jane} }{\cfrac{59}{5}~ - ~\cfrac{7}{6}~ - ~\cfrac{4}{3}}\implies \cfrac{(6)59~~ - ~~(5)7~~ - ~~(10)4}{\underset{\textit{using this LCD}}{30}}\implies \cfrac{279}{30}\implies \cfrac{93}{10}\implies {\Large \begin{array}{llll} 9(3)/(10) \end{array}}`