Question

Simplify ⅔ + ¼ of ( 1½ / 1½)

Answer 1

`\stackrel{mixed}{1(1)/(2)}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}`

`\cfrac{2}{3}+\cfrac{1}{4}\implies \cfrac{(4)2~~ + ~~(3)1}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{11}{12} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ ~~ 1(1)/(2) ~~ }{1(1)/(2)}\implies \cfrac{~~ (3 )/(2 ) ~~}{(3 )/(2 )}\implies \cfrac{3}{2}\cdot \cfrac{2}{3}\implies \text{\LARGE 1} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{what is }}{\cfrac{11}{12} ~~ of ~~ \text{\LARGE 1}?}\implies \cfrac{11}{12}\cdot 1\implies \boxed{\cfrac{11}{12}}`