Question

1) Resolva e simplifique as frações:

Answer 1

a)

$-\frac{2}{3}+(-\frac{3}{4})-(-\frac{5}{6})= \\\\ -\frac{2}{3}-\frac{3}{4}+\frac{5}{6}= \\\\ \frac{-8-9+10}{12}= \\\\ -\frac{7}{12}$

b)

$\frac{5}{8}+\frac{5}{12}-\frac{25}{24}= \\\\ \frac{15+10-25}{24}= \\\\ \frac{0}{24}=0$

c)

$\frac{3}{10}*\frac{5}{9}+\frac{5}{6}= \\\\ \frac{15}{90}+\frac{5}{6}= \\\\ \frac{15+75}{90} \\\\ \frac{90}{90}=1$

d)

$(-\frac{15}{16}):(-\frac{3}{4})= \\\\ (-\frac{15}{16})*(-\frac{4}{3})= \\\\ \frac{60}{48}=\frac{5}{4}$

e)

$-\frac{1}{2}+\frac{8}{9}*\frac{27}{16}= \\\\ -\frac{1}{2}+\frac{216}{144}= \\\\ -\frac{1}{2}+\frac{3}{2}= \\\\ \frac{2}{2}=1$

f)

$\frac{1}{6}-\frac{15}{16}:\frac{15}{8}= \\\\ \frac{1}{6}-\frac{15}{16}*\frac{8}{15}= \\\\ \frac{1}{6}-\frac{120}{240}= \\\\ \frac{1}{6}-\frac{3}{6}= \\\\ -\frac{2}{6}=-\frac{1}{3}$

g)

$-\frac{2}{3}:\frac{5}{4}*(-\frac{15}{8})= \\\\ -\frac{2}{3}*\frac{4}{5}*(-\frac{15}{8})= \\\\ \frac{120}{120}=1$

h)

$-\frac{5}{12}*(-\frac{36}{25}):(-\frac{12}{35})= \\\\ -\frac{5}{12}*(-\frac{36}{25})*(-\frac{35}{12})= \\\\ -\frac{6300}{3600}=-\frac{63}{36}=-\frac{7}{4}$