Bereken
- \(+\left(\frac{9}{2}\right)
+\left(\frac{-2}{4}\right)
+\left(\frac{4}{-12}\right)\)
- \(+\left(\frac{4}{-5}\right)
+\left(\frac{-3}{-5}\right)
-\left(\frac{2}{-6}\right)\)
- \(-\left(\frac{-5}{-3}\right)
-\left(\frac{2}{-6}\right)
+\left(\frac{-5}{9}\right)\)
- \(-\left(\frac{-4}{-9}\right)
+\left(\frac{10}{-3}\right)
+\left(\frac{-6}{12}\right)\)
- \(-\left(\frac{6}{5}\right)
-\left(\frac{-6}{-6}\right)
+\left(\frac{-10}{2}\right)\)
- \(-\left(\frac{10}{-7}\right)
-\left(\frac{4}{-10}\right)
+\left(\frac{-8}{-2}\right)\)
- \(-\left(\frac{-8}{3}\right)
-\left(\frac{-3}{5}\right)
+\left(\frac{2}{8}\right)\)
- \(+\left(\frac{-9}{8}\right)
+\left(\frac{-7}{-6}\right)
+\left(\frac{-11}{6}\right)\)
- \(+\left(\frac{7}{8}\right)
-\left(\frac{-8}{4}\right)
-\left(\frac{4}{11}\right)\)
- \(-\left(\frac{6}{7}\right)
-\left(\frac{-3}{-9}\right)
+\left(\frac{-6}{-11}\right)\)
- \(-\left(\frac{-4}{-7}\right)
-\left(\frac{2}{8}\right)
-\left(\frac{9}{-4}\right)\)
- \(+\left(\frac{-8}{9}\right)
-\left(\frac{5}{-7}\right)
+\left(\frac{-6}{-11}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{9}{2}\right)
+\left(\frac{-2}{4}\right)
+\left(\frac{4}{-12}\right)\\= \frac{9}{2}-
\frac{2}{4}-\frac{4}{12}\\=\frac{9}{2}-\frac{1}{2}-\frac{1}{3}\\=\frac{27}{6}-\frac{3}{6}-\frac{2}{6}\\=\frac{27-3-2}{6}\\=\frac{22}{6}\\=\frac{11}{3}\)
- \(+\left(\frac{4}{-5}\right)
+\left(\frac{-3}{-5}\right)
-\left(\frac{2}{-6}\right)\\= \frac{-4}{5}+
\frac{3}{5}+\frac{2}{6}\\=\frac{-4}{5}+\frac{3}{5}+\frac{1}{3}\\=\frac{-12}{15}+\frac{9}{15}+\frac{5}{15}\\=\frac{-12+9+5}{15}\\=\frac{2}{15}\)
- \(-\left(\frac{-5}{-3}\right)
-\left(\frac{2}{-6}\right)
+\left(\frac{-5}{9}\right)\\= \frac{-5}{3}+
\frac{2}{6}-\frac{5}{9}\\=\frac{-5}{3}+\frac{1}{3}-\frac{5}{9}\\=\frac{-15}{9}+\frac{3}{9}-\frac{5}{9}\\=\frac{-15+3-5}{9}\\=\frac{-17}{9}\)
- \(-\left(\frac{-4}{-9}\right)
+\left(\frac{10}{-3}\right)
+\left(\frac{-6}{12}\right)\\= \frac{-4}{9}-
\frac{10}{3}-\frac{6}{12}\\=\frac{-4}{9}-\frac{10}{3}-\frac{1}{2}\\=\frac{-8}{18}-\frac{60}{18}-\frac{9}{18}\\=\frac{-8-60-9}{18}\\=\frac{-77}{18}\)
- \(-\left(\frac{6}{5}\right)
-\left(\frac{-6}{-6}\right)
+\left(\frac{-10}{2}\right)\\= \frac{-6}{5}-
\frac{6}{6}-\frac{10}{2}\\=\frac{-6}{5}-\frac{1}{1}-\frac{5}{1}\\=\frac{-6-1-5}{5}\\=\frac{-12}{5}\)
- \(-\left(\frac{10}{-7}\right)
-\left(\frac{4}{-10}\right)
+\left(\frac{-8}{-2}\right)\\= \frac{10}{7}+
\frac{4}{10}+\frac{8}{2}\\=\frac{10}{7}+\frac{2}{5}+\frac{4}{1}\\=\frac{50}{35}+\frac{14}{35}+\frac{140}{35}\\=\frac{50+14+140}{35}\\=\frac{204}{35}\)
- \(-\left(\frac{-8}{3}\right)
-\left(\frac{-3}{5}\right)
+\left(\frac{2}{8}\right)\\= \frac{8}{3}+
\frac{3}{5}+\frac{2}{8}\\=\frac{8}{3}+\frac{3}{5}+\frac{1}{4}\\=\frac{160}{60}+\frac{36}{60}+\frac{15}{60}\\=\frac{160+36+15}{60}\\=\frac{211}{60}\)
- \(+\left(\frac{-9}{8}\right)
+\left(\frac{-7}{-6}\right)
+\left(\frac{-11}{6}\right)\\= \frac{-9}{8}+
\frac{7}{6}-\frac{11}{6}\\=\frac{-27}{24}+\frac{28}{24}-\frac{44}{24}\\=\frac{-27+28-44}{24}\\=\frac{-43}{24}\)
- \(+\left(\frac{7}{8}\right)
-\left(\frac{-8}{4}\right)
-\left(\frac{4}{11}\right)\\= \frac{7}{8}+
\frac{8}{4}-\frac{4}{11}\\=\frac{7}{8}+\frac{2}{1}-\frac{4}{11}\\=\frac{77}{88}+\frac{176}{88}-\frac{32}{88}\\=\frac{77+176-32}{88}\\=\frac{221}{88}\)
- \(-\left(\frac{6}{7}\right)
-\left(\frac{-3}{-9}\right)
+\left(\frac{-6}{-11}\right)\\= \frac{-6}{7}-
\frac{3}{9}+\frac{6}{11}\\=\frac{-6}{7}-\frac{1}{3}+\frac{6}{11}\\=\frac{-198}{231}-\frac{77}{231}+\frac{126}{231}\\=\frac{-198-77+126}{231}\\=\frac{-149}{231}\)
- \(-\left(\frac{-4}{-7}\right)
-\left(\frac{2}{8}\right)
-\left(\frac{9}{-4}\right)\\= \frac{-4}{7}-
\frac{2}{8}+\frac{9}{4}\\=\frac{-4}{7}-\frac{1}{4}+\frac{9}{4}\\=\frac{-16}{28}-\frac{7}{28}+\frac{63}{28}\\=\frac{-16-7+63}{28}\\=\frac{40}{28}\\=\frac{10}{7}\)
- \(+\left(\frac{-8}{9}\right)
-\left(\frac{5}{-7}\right)
+\left(\frac{-6}{-11}\right)\\= \frac{-8}{9}+
\frac{5}{7}+\frac{6}{11}\\=\frac{-616}{693}+\frac{495}{693}+\frac{378}{693}\\=\frac{-616+495+378}{693}\\=\frac{257}{693}\)