Question

{1/3+[5-(1/5+1/4)-(3-2 1/2)]}+(4 1/2-3)​

Answer 1

Resposta:

$5\frac{53}{60}$

Explicação passo-a-passo:

$\left\{\frac{1}{3}+\left[5-\left(\frac{1}{5}+\frac{1}{4}\right)-\left(3-2\frac{1}{2}\right)\right]\right\}+\left(4\frac{1}{2}-3\right)\\\\=\left\{\frac{1}{3}+\left[5-\left(\frac{1}{5}+\frac{1}{4}\right)-\left(3-\frac{5}{2}\right)\right]\right\}+\left(4\frac{1}{2}-3\right)\\\\=\left\{\frac{1}{3}+\left[5-\left(\frac{1}{5}+\frac{1}{4}\right)-\left(3-\frac{5}{2}\right)\right]\right\}+\left(\frac{9}{2}-3\right)$

$=\frac{1}{3}+5-\left(\frac{1}{5}+\frac{1}{4}\right)-\left(3-\frac{5}{2}\right)+\frac{9}{2}-3\\\\=\frac{1}{3}+5-\frac{9}{20}-\left(-\frac{5}{2}+3\right)+\frac{9}{2}-3\\\\=\frac{1}{3}+5-\frac{9}{20}-\frac{1}{2}+\frac{9}{2}-3\\\\=\frac{1}{3}-\frac{1}{2}+\frac{9}{2}-\frac{9}{20}+5-3\\\\=\frac{1}{3}+4-\frac{9}{20}+5-3\\\\=6+\frac{1}{3}-\frac{9}{20}\\\\=\frac{6}{1}+\frac{1}{3}-\frac{9}{20}\\\\=\frac{360}{60}+\frac{20}{60}-\frac{27}{60}\\\\=\frac{353}{60}\\\\=5\frac{53}{60}$