Bereken
- \(+\left(\frac{4}{3}\right)
-\left(\frac{2}{-7}\right)
-\left(\frac{-3}{-7}\right)\)
- \(-\left(\frac{-8}{-9}\right)
-\left(\frac{9}{-3}\right)
-\left(\frac{-9}{-7}\right)\)
- \(-\left(\frac{-10}{-3}\right)
-\left(\frac{3}{9}\right)
+\left(\frac{4}{8}\right)\)
- \(-\left(\frac{-10}{-9}\right)
-\left(\frac{4}{-9}\right)
-\left(\frac{8}{4}\right)\)
- \(+\left(\frac{5}{-7}\right)
+\left(\frac{2}{-5}\right)
-\left(\frac{10}{7}\right)\)
- \(+\left(\frac{-3}{2}\right)
+\left(\frac{3}{-4}\right)
+\left(\frac{-10}{8}\right)\)
- \(-\left(\frac{-5}{-2}\right)
-\left(\frac{4}{-3}\right)
+\left(\frac{2}{12}\right)\)
- \(-\left(\frac{4}{7}\right)
+\left(\frac{-10}{2}\right)
+\left(\frac{-5}{9}\right)\)
- \(+\left(\frac{10}{7}\right)
+\left(\frac{7}{-5}\right)
-\left(\frac{-10}{12}\right)\)
- \(-\left(\frac{10}{-3}\right)
+\left(\frac{2}{-8}\right)
+\left(\frac{-9}{-2}\right)\)
- \(+\left(\frac{-2}{9}\right)
-\left(\frac{9}{10}\right)
+\left(\frac{7}{5}\right)\)
- \(+\left(\frac{-9}{8}\right)
+\left(\frac{-5}{5}\right)
+\left(\frac{-3}{-10}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{4}{3}\right)
-\left(\frac{2}{-7}\right)
-\left(\frac{-3}{-7}\right)\\= \frac{4}{3}+
\frac{2}{7}-\frac{3}{7}\\=\frac{28}{21}+\frac{6}{21}-\frac{9}{21}\\=\frac{28+6-9}{21}\\=\frac{25}{21}\)
- \(-\left(\frac{-8}{-9}\right)
-\left(\frac{9}{-3}\right)
-\left(\frac{-9}{-7}\right)\\= \frac{-8}{9}+
\frac{9}{3}-\frac{9}{7}\\=\frac{-8}{9}+\frac{3}{1}-\frac{9}{7}\\=\frac{-56}{63}+\frac{189}{63}-\frac{81}{63}\\=\frac{-56+189-81}{63}\\=\frac{52}{63}\)
- \(-\left(\frac{-10}{-3}\right)
-\left(\frac{3}{9}\right)
+\left(\frac{4}{8}\right)\\= \frac{-10}{3}-
\frac{3}{9}+\frac{4}{8}\\=\frac{-10}{3}-\frac{1}{3}+\frac{1}{2}\\=\frac{-20}{6}-\frac{2}{6}+\frac{3}{6}\\=\frac{-20-2+3}{6}\\=\frac{-19}{6}\)
- \(-\left(\frac{-10}{-9}\right)
-\left(\frac{4}{-9}\right)
-\left(\frac{8}{4}\right)\\= \frac{-10}{9}+
\frac{4}{9}-\frac{8}{4}\\=\frac{-10}{9}+\frac{4}{9}-\frac{2}{1}\\=\frac{-10+4-2}{9}\\=\frac{-8}{9}\)
- \(+\left(\frac{5}{-7}\right)
+\left(\frac{2}{-5}\right)
-\left(\frac{10}{7}\right)\\= \frac{-5}{7}-
\frac{2}{5}-\frac{10}{7}\\=\frac{-25}{35}-\frac{14}{35}-\frac{50}{35}\\=\frac{-25-14-50}{35}\\=\frac{-89}{35}\)
- \(+\left(\frac{-3}{2}\right)
+\left(\frac{3}{-4}\right)
+\left(\frac{-10}{8}\right)\\= \frac{-3}{2}-
\frac{3}{4}-\frac{10}{8}\\=\frac{-3}{2}-\frac{3}{4}-\frac{5}{4}\\=\frac{-6}{4}-\frac{3}{4}-\frac{5}{4}\\=\frac{-6-3-5}{4}\\=\frac{-14}{4}\\=\frac{-7}{2}\)
- \(-\left(\frac{-5}{-2}\right)
-\left(\frac{4}{-3}\right)
+\left(\frac{2}{12}\right)\\= \frac{-5}{2}+
\frac{4}{3}+\frac{2}{12}\\=\frac{-5}{2}+\frac{4}{3}+\frac{1}{6}\\=\frac{-15}{6}+\frac{8}{6}+\frac{1}{6}\\=\frac{-15+8+1}{6}\\=\frac{-6}{6}\\=\frac{-1}{1}\)
- \(-\left(\frac{4}{7}\right)
+\left(\frac{-10}{2}\right)
+\left(\frac{-5}{9}\right)\\= \frac{-4}{7}-
\frac{10}{2}-\frac{5}{9}\\=\frac{-4}{7}-\frac{5}{1}-\frac{5}{9}\\=\frac{-36}{63}-\frac{315}{63}-\frac{35}{63}\\=\frac{-36-315-35}{63}\\=\frac{-386}{63}\)
- \(+\left(\frac{10}{7}\right)
+\left(\frac{7}{-5}\right)
-\left(\frac{-10}{12}\right)\\= \frac{10}{7}-
\frac{7}{5}+\frac{10}{12}\\=\frac{10}{7}-\frac{7}{5}+\frac{5}{6}\\=\frac{300}{210}-\frac{294}{210}+\frac{175}{210}\\=\frac{300-294+175}{210}\\=\frac{181}{210}\)
- \(-\left(\frac{10}{-3}\right)
+\left(\frac{2}{-8}\right)
+\left(\frac{-9}{-2}\right)\\= \frac{10}{3}-
\frac{2}{8}+\frac{9}{2}\\=\frac{10}{3}-\frac{1}{4}+\frac{9}{2}\\=\frac{40}{12}-\frac{3}{12}+\frac{54}{12}\\=\frac{40-3+54}{12}\\=\frac{91}{12}\)
- \(+\left(\frac{-2}{9}\right)
-\left(\frac{9}{10}\right)
+\left(\frac{7}{5}\right)\\= \frac{-2}{9}-
\frac{9}{10}+\frac{7}{5}\\=\frac{-20}{90}-\frac{81}{90}+\frac{126}{90}\\=\frac{-20-81+126}{90}\\=\frac{25}{90}\\=\frac{5}{18}\)
- \(+\left(\frac{-9}{8}\right)
+\left(\frac{-5}{5}\right)
+\left(\frac{-3}{-10}\right)\\= \frac{-9}{8}-
\frac{5}{5}+\frac{3}{10}\\=\frac{-9}{8}-\frac{1}{1}+\frac{3}{10}\\=\frac{-45}{40}-\frac{40}{40}+\frac{12}{40}\\=\frac{-45-40+12}{40}\\=\frac{-73}{40}\)