20
punti
Livello 0
300)
$\frac{3}{32}·\frac{2}{3}+\big(\frac{2}{7}+1\big)·\big[1+\frac{1}{6}-\big(\frac{5}{3}·\frac{1}{6}-\frac{1}{6}+\frac{1}{2}·\frac{5}{12}\big)-\frac{1}{2}·\frac{5}{18} : \frac{5}{27}\big]+\frac{1}{16}$ =
= $\frac{1}{16}·\frac{1}{1}+\big(\frac{2+7}{7}\big)·\big[1+\frac{1}{6}-\big(\frac{5}{18}-\frac{1}{6}+\frac{5}{24}\big)-\frac{5}{36} · \frac{27}{5}\big]+\frac{1}{16}$ =
= $\frac{1}{16}+\frac{9}{7}·\big[1+\frac{1}{6}-\big(\frac{20-12+15}{72}\big)-\frac{1}{4} · \frac{3}{1}\big]+\frac{1}{16}$ =
= $\frac{1}{16}+\frac{9}{7}·\big[1+\frac{1}{6}-\frac{23}{72}-\frac{3}{4} \big]+\frac{1}{16}$ =
= $\frac{1}{16}+\frac{9}{7}·\big[\frac{72+12-23-54}{72} \big]+\frac{1}{16}$ =
= $\frac{1}{16}+\frac{9}{7}·\frac{7}{72}+\frac{1}{16}$ =
= $\frac{1}{16}+\frac{1}{1}·\frac{1}{8}+\frac{1}{16}$ =
= $\frac{1}{16}+\frac{1}{8}+\frac{1}{16}$ =
= $\frac{1+2+1}{16}=\frac{4}{16}=\frac{1}{4}$
48776
punti
Genius I
@gramor grazie mi sapresti fare anche il 301?
301)
$\big(1-\frac{1}{2}\big)+\frac{1}{2} : \big[\frac{1}{7}·\big(\frac{1}{4}+\frac{1}{3}\big) : \frac{1}{4}+\frac{2}{5}\big]+\big(1+\frac{2}{5}\big) : \big(\frac{1}{5}+\frac{1}{2}\big)-\frac{2}{11}$ =
= $\big(\frac{2-1}{2}\big)+\frac{1}{2} : \big[\frac{1}{7}·\big(\frac{3+4}{12}\big) : \frac{1}{4}+\frac{2}{5}\big]+\big(\frac{5+2}{5}\big) : \big(\frac{2+5}{10}\big)-\frac{2}{11}$ =
= $\frac{1}{2}+\frac{1}{2} : \big[\frac{1}{7}·\frac{7}{12}·4+\frac{2}{5}\big]+\frac{7}{5} : \frac{7}{10}-\frac{2}{11}$ =
= $\frac{1}{2}+\frac{1}{2} : \big[\frac{1}{1}·\frac{1}{12}·4+\frac{2}{5}\big]+\frac{7}{5}· \frac{10}{7}-\frac{2}{11}$ =
= $\frac{1}{2}+\frac{1}{2} : \big[\frac{1}{3}+\frac{2}{5}\big]+\frac{1}{1}· \frac{2}{1}-\frac{2}{11}$ =
= $\frac{1}{2}+\frac{1}{2} : \big[\frac{5+6}{15}\big] + 2 - \frac{2}{11}$ =
= $\frac{1}{2}+\frac{1}{2} : \frac{11}{15} + 2 - \frac{2}{11}$ =
= $\frac{1}{2}+\frac{1}{2}·\frac{15}{11} + 2 - \frac{2}{11}$ =
= $\frac{1}{2}+\frac{15}{22} + 2 - \frac{2}{11}$ =
= $\frac{11+15+44-4}{22} = \frac{66}{22} = 3 $
48776
punti
Genius I