Question

What is 1 1/2 plus 2 1/4 minus 3 2/3

Answer 1

let's firstly convert the mixed fractions to improper fractions, and then add and subtract.

`\bf \stackrel{mixed}{1(1)/(2)}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2(1)/(4)}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\\\ \stackrel{mixed}{3(2)/(3)}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}} \\\\[-0.35em] ~\dotfill`

`\bf \cfrac{3}{2}+\cfrac{9}{4}-\cfrac{11}{3}\implies \stackrel{\textit{using an LCD of 12}}{\cfrac{(6)3+(3)9-(4)11}{12}}\implies \cfrac{18+27-44}{12}\implies \cfrac{1}{12}`

Answer 2

1/12

Explanation:

1 1/2=3/2

2 1/4=9/4

3 2/3=11/3

According to the question,

(3/2+9/4)-(11/3)

=(6/4+9/4)-(11/3)

=15/4-11/3

=45/12-44/12

=1/12