Bereken
- \(-\left(\frac{10}{3}\right)
+\left(\frac{10}{-10}\right)
+\left(\frac{-3}{-6}\right)\)
- \(+\left(\frac{9}{-8}\right)
-\left(\frac{-6}{6}\right)
+\left(\frac{-4}{-2}\right)\)
- \(+\left(\frac{5}{6}\right)
-\left(\frac{4}{9}\right)
+\left(\frac{-6}{11}\right)\)
- \(-\left(\frac{-10}{7}\right)
-\left(\frac{-10}{-6}\right)
+\left(\frac{2}{4}\right)\)
- \(-\left(\frac{7}{-6}\right)
+\left(\frac{6}{-8}\right)
-\left(\frac{-6}{8}\right)\)
- \(-\left(\frac{-8}{3}\right)
-\left(\frac{-4}{8}\right)
-\left(\frac{-6}{-10}\right)\)
- \(+\left(\frac{9}{7}\right)
+\left(\frac{9}{-6}\right)
+\left(\frac{2}{-7}\right)\)
- \(+\left(\frac{-3}{-4}\right)
+\left(\frac{-2}{2}\right)
+\left(\frac{-10}{-10}\right)\)
- \(+\left(\frac{8}{-7}\right)
+\left(\frac{-7}{4}\right)
-\left(\frac{5}{11}\right)\)
- \(-\left(\frac{5}{4}\right)
+\left(\frac{-7}{-3}\right)
-\left(\frac{-4}{-2}\right)\)
- \(-\left(\frac{-10}{9}\right)
+\left(\frac{7}{6}\right)
+\left(\frac{-5}{9}\right)\)
- \(-\left(\frac{-7}{-8}\right)
-\left(\frac{7}{-5}\right)
+\left(\frac{-10}{-10}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{10}{3}\right)
+\left(\frac{10}{-10}\right)
+\left(\frac{-3}{-6}\right)\\= \frac{-10}{3}-
\frac{10}{10}+\frac{3}{6}\\=\frac{-10}{3}-\frac{1}{1}+\frac{1}{2}\\=\frac{-20}{6}-\frac{6}{6}+\frac{3}{6}\\=\frac{-20-6+3}{6}\\=\frac{-23}{6}\)
- \(+\left(\frac{9}{-8}\right)
-\left(\frac{-6}{6}\right)
+\left(\frac{-4}{-2}\right)\\= \frac{-9}{8}+
\frac{6}{6}+\frac{4}{2}\\=\frac{-9}{8}+\frac{1}{1}+\frac{2}{1}\\=\frac{-9+1+2}{8}\\=\frac{-6}{8}\\=\frac{-3}{4}\)
- \(+\left(\frac{5}{6}\right)
-\left(\frac{4}{9}\right)
+\left(\frac{-6}{11}\right)\\= \frac{5}{6}-
\frac{4}{9}-\frac{6}{11}\\=\frac{165}{198}-\frac{88}{198}-\frac{108}{198}\\=\frac{165-88-108}{198}\\=\frac{-31}{198}\)
- \(-\left(\frac{-10}{7}\right)
-\left(\frac{-10}{-6}\right)
+\left(\frac{2}{4}\right)\\= \frac{10}{7}-
\frac{10}{6}+\frac{2}{4}\\=\frac{10}{7}-\frac{5}{3}+\frac{1}{2}\\=\frac{60}{42}-\frac{70}{42}+\frac{21}{42}\\=\frac{60-70+21}{42}\\=\frac{11}{42}\)
- \(-\left(\frac{7}{-6}\right)
+\left(\frac{6}{-8}\right)
-\left(\frac{-6}{8}\right)\\= \frac{7}{6}-
\frac{6}{8}+\frac{6}{8}\\=\frac{7}{6}-\frac{3}{4}+\frac{3}{4}\\=\frac{14}{12}-\frac{9}{12}+\frac{9}{12}\\=\frac{14-9+9}{12}\\=\frac{14}{12}\\=\frac{7}{6}\)
- \(-\left(\frac{-8}{3}\right)
-\left(\frac{-4}{8}\right)
-\left(\frac{-6}{-10}\right)\\= \frac{8}{3}+
\frac{4}{8}-\frac{6}{10}\\=\frac{8}{3}+\frac{1}{2}-\frac{3}{5}\\=\frac{80}{30}+\frac{15}{30}-\frac{18}{30}\\=\frac{80+15-18}{30}\\=\frac{77}{30}\)
- \(+\left(\frac{9}{7}\right)
+\left(\frac{9}{-6}\right)
+\left(\frac{2}{-7}\right)\\= \frac{9}{7}-
\frac{9}{6}-\frac{2}{7}\\=\frac{9}{7}-\frac{3}{2}-\frac{2}{7}\\=\frac{18}{14}-\frac{21}{14}-\frac{4}{14}\\=\frac{18-21-4}{14}\\=\frac{-7}{14}\\=\frac{-1}{2}\)
- \(+\left(\frac{-3}{-4}\right)
+\left(\frac{-2}{2}\right)
+\left(\frac{-10}{-10}\right)\\= \frac{3}{4}-
\frac{2}{2}+\frac{10}{10}\\=\frac{3}{4}-\frac{1}{1}+\frac{1}{1}\\=\frac{3-1+1}{4}\\=\frac{3}{4}\)
- \(+\left(\frac{8}{-7}\right)
+\left(\frac{-7}{4}\right)
-\left(\frac{5}{11}\right)\\= \frac{-8}{7}-
\frac{7}{4}-\frac{5}{11}\\=\frac{-352}{308}-\frac{539}{308}-\frac{140}{308}\\=\frac{-352-539-140}{308}\\=\frac{-1031}{308}\)
- \(-\left(\frac{5}{4}\right)
+\left(\frac{-7}{-3}\right)
-\left(\frac{-4}{-2}\right)\\= \frac{-5}{4}+
\frac{7}{3}-\frac{4}{2}\\=\frac{-5}{4}+\frac{7}{3}-\frac{2}{1}\\=\frac{-15}{12}+\frac{28}{12}-\frac{24}{12}\\=\frac{-15+28-24}{12}\\=\frac{-11}{12}\)
- \(-\left(\frac{-10}{9}\right)
+\left(\frac{7}{6}\right)
+\left(\frac{-5}{9}\right)\\= \frac{10}{9}+
\frac{7}{6}-\frac{5}{9}\\=\frac{20}{18}+\frac{21}{18}-\frac{10}{18}\\=\frac{20+21-10}{18}\\=\frac{31}{18}\)
- \(-\left(\frac{-7}{-8}\right)
-\left(\frac{7}{-5}\right)
+\left(\frac{-10}{-10}\right)\\= \frac{-7}{8}+
\frac{7}{5}+\frac{10}{10}\\=\frac{-7}{8}+\frac{7}{5}+\frac{1}{1}\\=\frac{-35}{40}+\frac{56}{40}+\frac{40}{40}\\=\frac{-35+56+40}{40}\\=\frac{61}{40}\)