Question

The answer choices are

A. 2 1/4 inches
B. 3 inches
C. 4 1/2 inches
D. 5 inches

Answer 1

Check the picture below.

`\stackrel{X}{1(1)/(2)}~~ + ~~\stackrel{X}{1(3)/(4)}~~ + ~~\stackrel{X}{1(3)/(4)} \\\\[-0.35em] ~\dotfill`

`\stackrel{mixed}{1(1)/(2)}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1(3)/(4)}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5`