Bereken
- \(-\left(\frac{-8}{7}\right)
+\left(\frac{7}{-6}\right)
+\left(\frac{3}{-10}\right)\)
- \(-\left(\frac{3}{2}\right)
+\left(\frac{2}{-3}\right)
-\left(\frac{-9}{-7}\right)\)
- \(-\left(\frac{-10}{7}\right)
+\left(\frac{-9}{-10}\right)
-\left(\frac{11}{9}\right)\)
- \(-\left(\frac{2}{5}\right)
+\left(\frac{-4}{2}\right)
+\left(\frac{-11}{-4}\right)\)
- \(-\left(\frac{-6}{5}\right)
+\left(\frac{-2}{-2}\right)
-\left(\frac{10}{8}\right)\)
- \(-\left(\frac{7}{-8}\right)
+\left(\frac{-5}{-4}\right)
+\left(\frac{-10}{10}\right)\)
- \(-\left(\frac{7}{-9}\right)
+\left(\frac{-10}{-6}\right)
-\left(\frac{3}{3}\right)\)
- \(+\left(\frac{-2}{-3}\right)
+\left(\frac{-3}{6}\right)
+\left(\frac{-4}{-9}\right)\)
- \(+\left(\frac{2}{3}\right)
-\left(\frac{-4}{-6}\right)
+\left(\frac{3}{8}\right)\)
- \(-\left(\frac{-7}{-2}\right)
-\left(\frac{-6}{9}\right)
+\left(\frac{-9}{-11}\right)\)
- \(-\left(\frac{5}{-6}\right)
-\left(\frac{7}{-2}\right)
-\left(\frac{-3}{5}\right)\)
- \(+\left(\frac{-2}{-3}\right)
-\left(\frac{-3}{-8}\right)
+\left(\frac{11}{-8}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{-8}{7}\right)
+\left(\frac{7}{-6}\right)
+\left(\frac{3}{-10}\right)\\= \frac{8}{7}-
\frac{7}{6}-\frac{3}{10}\\=\frac{240}{210}-\frac{245}{210}-\frac{63}{210}\\=\frac{240-245-63}{210}\\=\frac{-68}{210}\\=\frac{-34}{105}\)
- \(-\left(\frac{3}{2}\right)
+\left(\frac{2}{-3}\right)
-\left(\frac{-9}{-7}\right)\\= \frac{-3}{2}-
\frac{2}{3}-\frac{9}{7}\\=\frac{-63}{42}-\frac{28}{42}-\frac{54}{42}\\=\frac{-63-28-54}{42}\\=\frac{-145}{42}\)
- \(-\left(\frac{-10}{7}\right)
+\left(\frac{-9}{-10}\right)
-\left(\frac{11}{9}\right)\\= \frac{10}{7}+
\frac{9}{10}-\frac{11}{9}\\=\frac{900}{630}+\frac{567}{630}-\frac{770}{630}\\=\frac{900+567-770}{630}\\=\frac{697}{630}\)
- \(-\left(\frac{2}{5}\right)
+\left(\frac{-4}{2}\right)
+\left(\frac{-11}{-4}\right)\\= \frac{-2}{5}-
\frac{4}{2}+\frac{11}{4}\\=\frac{-2}{5}-\frac{2}{1}+\frac{11}{4}\\=\frac{-8}{20}-\frac{40}{20}+\frac{55}{20}\\=\frac{-8-40+55}{20}\\=\frac{7}{20}\)
- \(-\left(\frac{-6}{5}\right)
+\left(\frac{-2}{-2}\right)
-\left(\frac{10}{8}\right)\\= \frac{6}{5}+
\frac{2}{2}-\frac{10}{8}\\=\frac{6}{5}+\frac{1}{1}-\frac{5}{4}\\=\frac{24}{20}+\frac{20}{20}-\frac{25}{20}\\=\frac{24+20-25}{20}\\=\frac{19}{20}\)
- \(-\left(\frac{7}{-8}\right)
+\left(\frac{-5}{-4}\right)
+\left(\frac{-10}{10}\right)\\= \frac{7}{8}+
\frac{5}{4}-\frac{10}{10}\\=\frac{7}{8}+\frac{5}{4}-\frac{1}{1}\\=\frac{7+5-1}{8}\\=\frac{11}{8}\)
- \(-\left(\frac{7}{-9}\right)
+\left(\frac{-10}{-6}\right)
-\left(\frac{3}{3}\right)\\= \frac{7}{9}+
\frac{10}{6}-\frac{3}{3}\\=\frac{7}{9}+\frac{5}{3}-\frac{1}{1}\\=\frac{7+5-1}{9}\\=\frac{11}{9}\)
- \(+\left(\frac{-2}{-3}\right)
+\left(\frac{-3}{6}\right)
+\left(\frac{-4}{-9}\right)\\= \frac{2}{3}-
\frac{3}{6}+\frac{4}{9}\\=\frac{2}{3}-\frac{1}{2}+\frac{4}{9}\\=\frac{12}{18}-\frac{9}{18}+\frac{8}{18}\\=\frac{12-9+8}{18}\\=\frac{11}{18}\)
- \(+\left(\frac{2}{3}\right)
-\left(\frac{-4}{-6}\right)
+\left(\frac{3}{8}\right)\\= \frac{2}{3}-
\frac{4}{6}+\frac{3}{8}\\=\frac{2}{3}-\frac{2}{3}+\frac{3}{8}\\=\frac{16}{24}-\frac{16}{24}+\frac{9}{24}\\=\frac{16-16+9}{24}\\=\frac{9}{24}\\=\frac{3}{8}\)
- \(-\left(\frac{-7}{-2}\right)
-\left(\frac{-6}{9}\right)
+\left(\frac{-9}{-11}\right)\\= \frac{-7}{2}+
\frac{6}{9}+\frac{9}{11}\\=\frac{-7}{2}+\frac{2}{3}+\frac{9}{11}\\=\frac{-231}{66}+\frac{44}{66}+\frac{54}{66}\\=\frac{-231+44+54}{66}\\=\frac{-133}{66}\)
- \(-\left(\frac{5}{-6}\right)
-\left(\frac{7}{-2}\right)
-\left(\frac{-3}{5}\right)\\= \frac{5}{6}+
\frac{7}{2}+\frac{3}{5}\\=\frac{25}{30}+\frac{105}{30}+\frac{18}{30}\\=\frac{25+105+18}{30}\\=\frac{148}{30}\\=\frac{74}{15}\)
- \(+\left(\frac{-2}{-3}\right)
-\left(\frac{-3}{-8}\right)
+\left(\frac{11}{-8}\right)\\= \frac{2}{3}-
\frac{3}{8}-\frac{11}{8}\\=\frac{16}{24}-\frac{9}{24}-\frac{33}{24}\\=\frac{16-9-33}{24}\\=\frac{-26}{24}\\=\frac{-13}{12}\)