Bereken
- \(-\left(\frac{10}{-7}\right)
-\left(\frac{-4}{5}\right)
-\left(\frac{-8}{-11}\right)\)
- \(-\left(\frac{-7}{-9}\right)
+\left(\frac{-3}{7}\right)
-\left(\frac{-12}{11}\right)\)
- \(-\left(\frac{-4}{-7}\right)
+\left(\frac{4}{-2}\right)
-\left(\frac{2}{11}\right)\)
- \(-\left(\frac{-5}{2}\right)
+\left(\frac{-7}{5}\right)
-\left(\frac{-8}{2}\right)\)
- \(-\left(\frac{-2}{5}\right)
-\left(\frac{-10}{3}\right)
+\left(\frac{-2}{9}\right)\)
- \(-\left(\frac{-7}{4}\right)
+\left(\frac{5}{-8}\right)
-\left(\frac{9}{6}\right)\)
- \(-\left(\frac{-2}{-7}\right)
+\left(\frac{-8}{8}\right)
-\left(\frac{-7}{2}\right)\)
- \(-\left(\frac{-10}{-3}\right)
+\left(\frac{-6}{7}\right)
-\left(\frac{7}{-11}\right)\)
- \(-\left(\frac{-3}{5}\right)
-\left(\frac{9}{8}\right)
+\left(\frac{-12}{-5}\right)\)
- \(+\left(\frac{-10}{-3}\right)
-\left(\frac{10}{-9}\right)
+\left(\frac{10}{2}\right)\)
- \(-\left(\frac{5}{-6}\right)
+\left(\frac{6}{-7}\right)
+\left(\frac{3}{-3}\right)\)
- \(+\left(\frac{-9}{7}\right)
-\left(\frac{-7}{-10}\right)
+\left(\frac{-2}{-10}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{10}{-7}\right)
-\left(\frac{-4}{5}\right)
-\left(\frac{-8}{-11}\right)\\= \frac{10}{7}+
\frac{4}{5}-\frac{8}{11}\\=\frac{550}{385}+\frac{308}{385}-\frac{280}{385}\\=\frac{550+308-280}{385}\\=\frac{578}{385}\)
- \(-\left(\frac{-7}{-9}\right)
+\left(\frac{-3}{7}\right)
-\left(\frac{-12}{11}\right)\\= \frac{-7}{9}-
\frac{3}{7}+\frac{12}{11}\\=\frac{-539}{693}-\frac{297}{693}+\frac{756}{693}\\=\frac{-539-297+756}{693}\\=\frac{-80}{693}\)
- \(-\left(\frac{-4}{-7}\right)
+\left(\frac{4}{-2}\right)
-\left(\frac{2}{11}\right)\\= \frac{-4}{7}-
\frac{4}{2}-\frac{2}{11}\\=\frac{-4}{7}-\frac{2}{1}-\frac{2}{11}\\=\frac{-44}{77}-\frac{154}{77}-\frac{14}{77}\\=\frac{-44-154-14}{77}\\=\frac{-212}{77}\)
- \(-\left(\frac{-5}{2}\right)
+\left(\frac{-7}{5}\right)
-\left(\frac{-8}{2}\right)\\= \frac{5}{2}-
\frac{7}{5}+\frac{8}{2}\\=\frac{5}{2}-\frac{7}{5}+\frac{4}{1}\\=\frac{25}{10}-\frac{14}{10}+\frac{40}{10}\\=\frac{25-14+40}{10}\\=\frac{51}{10}\)
- \(-\left(\frac{-2}{5}\right)
-\left(\frac{-10}{3}\right)
+\left(\frac{-2}{9}\right)\\= \frac{2}{5}+
\frac{10}{3}-\frac{2}{9}\\=\frac{18}{45}+\frac{150}{45}-\frac{10}{45}\\=\frac{18+150-10}{45}\\=\frac{158}{45}\)
- \(-\left(\frac{-7}{4}\right)
+\left(\frac{5}{-8}\right)
-\left(\frac{9}{6}\right)\\= \frac{7}{4}-
\frac{5}{8}-\frac{9}{6}\\=\frac{7}{4}-\frac{5}{8}-\frac{3}{2}\\=\frac{14}{8}-\frac{5}{8}-\frac{12}{8}\\=\frac{14-5-12}{8}\\=\frac{-3}{8}\)
- \(-\left(\frac{-2}{-7}\right)
+\left(\frac{-8}{8}\right)
-\left(\frac{-7}{2}\right)\\= \frac{-2}{7}-
\frac{8}{8}+\frac{7}{2}\\=\frac{-2}{7}-\frac{1}{1}+\frac{7}{2}\\=\frac{-4}{14}-\frac{14}{14}+\frac{49}{14}\\=\frac{-4-14+49}{14}\\=\frac{31}{14}\)
- \(-\left(\frac{-10}{-3}\right)
+\left(\frac{-6}{7}\right)
-\left(\frac{7}{-11}\right)\\= \frac{-10}{3}-
\frac{6}{7}+\frac{7}{11}\\=\frac{-770}{231}-\frac{198}{231}+\frac{147}{231}\\=\frac{-770-198+147}{231}\\=\frac{-821}{231}\)
- \(-\left(\frac{-3}{5}\right)
-\left(\frac{9}{8}\right)
+\left(\frac{-12}{-5}\right)\\= \frac{3}{5}-
\frac{9}{8}+\frac{12}{5}\\=\frac{24}{40}-\frac{45}{40}+\frac{96}{40}\\=\frac{24-45+96}{40}\\=\frac{75}{40}\\=\frac{15}{8}\)
- \(+\left(\frac{-10}{-3}\right)
-\left(\frac{10}{-9}\right)
+\left(\frac{10}{2}\right)\\= \frac{10}{3}+
\frac{10}{9}+\frac{10}{2}\\=\frac{10}{3}+\frac{10}{9}+\frac{5}{1}\\=\frac{30}{9}+\frac{10}{9}+\frac{45}{9}\\=\frac{30+10+45}{9}\\=\frac{85}{9}\)
- \(-\left(\frac{5}{-6}\right)
+\left(\frac{6}{-7}\right)
+\left(\frac{3}{-3}\right)\\= \frac{5}{6}-
\frac{6}{7}-\frac{3}{3}\\=\frac{5}{6}-\frac{6}{7}-\frac{1}{1}\\=\frac{35}{42}-\frac{36}{42}-\frac{42}{42}\\=\frac{35-36-42}{42}\\=\frac{-43}{42}\)
- \(+\left(\frac{-9}{7}\right)
-\left(\frac{-7}{-10}\right)
+\left(\frac{-2}{-10}\right)\\= \frac{-9}{7}-
\frac{7}{10}+\frac{2}{10}\\=\frac{-9}{7}-\frac{7}{10}+\frac{1}{5}\\=\frac{-90}{70}-\frac{49}{70}+\frac{14}{70}\\=\frac{-90-49+14}{70}\\=\frac{-125}{70}\\=\frac{-25}{14}\)