Respuesta :

Answer:

3388.625

Step-by-step explanation:

Simplify the expression.

Exact form 27109/8

Decimal form 3388.625

Mixed number 3388 5/8

let's firstly convert the mixed fractions to improper fractions and then proceed.

[tex]\bf \stackrel{mixed}{10\frac{3}{4}}\implies \cfrac{10\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{43}{4}}~\hfill \stackrel{mixed}{110\frac{3}{4}}\implies \cfrac{110\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{443}{4}} \\\\\\ \stackrel{mixed}{30\frac{1}{2}}\implies \cfrac{30\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{61}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \left( \cfrac{43}{4}+\cfrac{443}{4} \right)-\cfrac{61}{2}\implies \left( \cfrac{43+443}{4} \right)-\cfrac{61}{2}\implies \cfrac{486}{4}-\cfrac{61}{2}\implies \cfrac{243}{2}-\cfrac{61}{2} \\\\\\ \cfrac{243-61}{2}\implies \cfrac{182}{2}\implies 91[/tex]