Bereken
- \(+\left(\frac{5}{-6}\right)
-\left(\frac{10}{7}\right)
-\left(\frac{-3}{5}\right)\)
- \(-\left(\frac{-9}{4}\right)
+\left(\frac{5}{-3}\right)
+\left(\frac{-2}{-2}\right)\)
- \(+\left(\frac{-9}{4}\right)
+\left(\frac{4}{-2}\right)
+\left(\frac{-2}{3}\right)\)
- \(+\left(\frac{10}{-7}\right)
-\left(\frac{3}{4}\right)
-\left(\frac{2}{7}\right)\)
- \(+\left(\frac{-2}{-9}\right)
-\left(\frac{-5}{3}\right)
-\left(\frac{5}{2}\right)\)
- \(-\left(\frac{-3}{-2}\right)
+\left(\frac{8}{-2}\right)
-\left(\frac{-7}{10}\right)\)
- \(-\left(\frac{5}{-2}\right)
-\left(\frac{-3}{-5}\right)
+\left(\frac{10}{6}\right)\)
- \(+\left(\frac{-4}{5}\right)
+\left(\frac{-8}{2}\right)
+\left(\frac{-10}{7}\right)\)
- \(+\left(\frac{-8}{-3}\right)
+\left(\frac{8}{-2}\right)
-\left(\frac{9}{-6}\right)\)
- \(-\left(\frac{-5}{-4}\right)
-\left(\frac{-10}{-10}\right)
-\left(\frac{-7}{-3}\right)\)
- \(-\left(\frac{8}{-5}\right)
-\left(\frac{-6}{10}\right)
-\left(\frac{-9}{-8}\right)\)
- \(-\left(\frac{-9}{-7}\right)
+\left(\frac{-5}{3}\right)
-\left(\frac{-9}{-4}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{5}{-6}\right)
-\left(\frac{10}{7}\right)
-\left(\frac{-3}{5}\right)\\= \frac{-5}{6}-
\frac{10}{7}+\frac{3}{5}\\=\frac{-175}{210}-\frac{300}{210}+\frac{126}{210}\\=\frac{-175-300+126}{210}\\=\frac{-349}{210}\)
- \(-\left(\frac{-9}{4}\right)
+\left(\frac{5}{-3}\right)
+\left(\frac{-2}{-2}\right)\\= \frac{9}{4}-
\frac{5}{3}+\frac{2}{2}\\=\frac{9}{4}-\frac{5}{3}+\frac{1}{1}\\=\frac{27}{12}-\frac{20}{12}+\frac{12}{12}\\=\frac{27-20+12}{12}\\=\frac{19}{12}\)
- \(+\left(\frac{-9}{4}\right)
+\left(\frac{4}{-2}\right)
+\left(\frac{-2}{3}\right)\\= \frac{-9}{4}-
\frac{4}{2}-\frac{2}{3}\\=\frac{-9}{4}-\frac{2}{1}-\frac{2}{3}\\=\frac{-27}{12}-\frac{24}{12}-\frac{8}{12}\\=\frac{-27-24-8}{12}\\=\frac{-59}{12}\)
- \(+\left(\frac{10}{-7}\right)
-\left(\frac{3}{4}\right)
-\left(\frac{2}{7}\right)\\= \frac{-10}{7}-
\frac{3}{4}-\frac{2}{7}\\=\frac{-40}{28}-\frac{21}{28}-\frac{8}{28}\\=\frac{-40-21-8}{28}\\=\frac{-69}{28}\)
- \(+\left(\frac{-2}{-9}\right)
-\left(\frac{-5}{3}\right)
-\left(\frac{5}{2}\right)\\= \frac{2}{9}+
\frac{5}{3}-\frac{5}{2}\\=\frac{4}{18}+\frac{30}{18}-\frac{45}{18}\\=\frac{4+30-45}{18}\\=\frac{-11}{18}\)
- \(-\left(\frac{-3}{-2}\right)
+\left(\frac{8}{-2}\right)
-\left(\frac{-7}{10}\right)\\= \frac{-3}{2}-
\frac{8}{2}+\frac{7}{10}\\=\frac{-3}{2}-\frac{4}{1}+\frac{7}{10}\\=\frac{-15}{10}-\frac{40}{10}+\frac{7}{10}\\=\frac{-15-40+7}{10}\\=\frac{-48}{10}\\=\frac{-24}{5}\)
- \(-\left(\frac{5}{-2}\right)
-\left(\frac{-3}{-5}\right)
+\left(\frac{10}{6}\right)\\= \frac{5}{2}-
\frac{3}{5}+\frac{10}{6}\\=\frac{5}{2}-\frac{3}{5}+\frac{5}{3}\\=\frac{75}{30}-\frac{18}{30}+\frac{50}{30}\\=\frac{75-18+50}{30}\\=\frac{107}{30}\)
- \(+\left(\frac{-4}{5}\right)
+\left(\frac{-8}{2}\right)
+\left(\frac{-10}{7}\right)\\= \frac{-4}{5}-
\frac{8}{2}-\frac{10}{7}\\=\frac{-4}{5}-\frac{4}{1}-\frac{10}{7}\\=\frac{-28}{35}-\frac{140}{35}-\frac{50}{35}\\=\frac{-28-140-50}{35}\\=\frac{-218}{35}\)
- \(+\left(\frac{-8}{-3}\right)
+\left(\frac{8}{-2}\right)
-\left(\frac{9}{-6}\right)\\= \frac{8}{3}-
\frac{8}{2}+\frac{9}{6}\\=\frac{8}{3}-\frac{4}{1}+\frac{3}{2}\\=\frac{16}{6}-\frac{24}{6}+\frac{9}{6}\\=\frac{16-24+9}{6}\\=\frac{1}{6}\)
- \(-\left(\frac{-5}{-4}\right)
-\left(\frac{-10}{-10}\right)
-\left(\frac{-7}{-3}\right)\\= \frac{-5}{4}-
\frac{10}{10}-\frac{7}{3}\\=\frac{-5}{4}-\frac{1}{1}-\frac{7}{3}\\=\frac{-15}{12}-\frac{12}{12}-\frac{28}{12}\\=\frac{-15-12-28}{12}\\=\frac{-55}{12}\)
- \(-\left(\frac{8}{-5}\right)
-\left(\frac{-6}{10}\right)
-\left(\frac{-9}{-8}\right)\\= \frac{8}{5}+
\frac{6}{10}-\frac{9}{8}\\=\frac{8}{5}+\frac{3}{5}-\frac{9}{8}\\=\frac{64}{40}+\frac{24}{40}-\frac{45}{40}\\=\frac{64+24-45}{40}\\=\frac{43}{40}\)
- \(-\left(\frac{-9}{-7}\right)
+\left(\frac{-5}{3}\right)
-\left(\frac{-9}{-4}\right)\\= \frac{-9}{7}-
\frac{5}{3}-\frac{9}{4}\\=\frac{-108}{84}-\frac{140}{84}-\frac{189}{84}\\=\frac{-108-140-189}{84}\\=\frac{-437}{84}\)