Bereken
- \(+\left(\frac{-9}{-4}\right)
-\left(\frac{3}{-4}\right)
-\left(\frac{2}{-2}\right)\)
- \(-\left(\frac{3}{4}\right)
-\left(\frac{2}{2}\right)
+\left(\frac{4}{-5}\right)\)
- \(+\left(\frac{9}{-8}\right)
-\left(\frac{4}{3}\right)
-\left(\frac{3}{-9}\right)\)
- \(-\left(\frac{-4}{3}\right)
-\left(\frac{-6}{2}\right)
-\left(\frac{-8}{-11}\right)\)
- \(+\left(\frac{-5}{2}\right)
+\left(\frac{-9}{-10}\right)
+\left(\frac{4}{7}\right)\)
- \(+\left(\frac{3}{2}\right)
+\left(\frac{2}{-6}\right)
-\left(\frac{7}{-9}\right)\)
- \(+\left(\frac{-9}{8}\right)
-\left(\frac{9}{5}\right)
+\left(\frac{-8}{-10}\right)\)
- \(+\left(\frac{8}{-7}\right)
+\left(\frac{3}{-6}\right)
+\left(\frac{-9}{-2}\right)\)
- \(-\left(\frac{-7}{-2}\right)
-\left(\frac{3}{-10}\right)
-\left(\frac{8}{8}\right)\)
- \(-\left(\frac{-6}{-5}\right)
-\left(\frac{9}{-4}\right)
-\left(\frac{-10}{12}\right)\)
- \(+\left(\frac{6}{5}\right)
-\left(\frac{-4}{3}\right)
-\left(\frac{10}{-3}\right)\)
- \(+\left(\frac{-9}{-7}\right)
+\left(\frac{-8}{6}\right)
+\left(\frac{3}{-3}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{-9}{-4}\right)
-\left(\frac{3}{-4}\right)
-\left(\frac{2}{-2}\right)\\= \frac{9}{4}+
\frac{3}{4}+\frac{2}{2}\\=\frac{9}{4}+\frac{3}{4}+\frac{1}{1}\\=\frac{9+3+1}{4}\\=\frac{13}{4}\)
- \(-\left(\frac{3}{4}\right)
-\left(\frac{2}{2}\right)
+\left(\frac{4}{-5}\right)\\= \frac{-3}{4}-
\frac{2}{2}-\frac{4}{5}\\=\frac{-3}{4}-\frac{1}{1}-\frac{4}{5}\\=\frac{-15}{20}-\frac{20}{20}-\frac{16}{20}\\=\frac{-15-20-16}{20}\\=\frac{-51}{20}\)
- \(+\left(\frac{9}{-8}\right)
-\left(\frac{4}{3}\right)
-\left(\frac{3}{-9}\right)\\= \frac{-9}{8}-
\frac{4}{3}+\frac{3}{9}\\=\frac{-9}{8}-\frac{4}{3}+\frac{1}{3}\\=\frac{-27}{24}-\frac{32}{24}+\frac{8}{24}\\=\frac{-27-32+8}{24}\\=\frac{-51}{24}\\=\frac{-17}{8}\)
- \(-\left(\frac{-4}{3}\right)
-\left(\frac{-6}{2}\right)
-\left(\frac{-8}{-11}\right)\\= \frac{4}{3}+
\frac{6}{2}-\frac{8}{11}\\=\frac{4}{3}+\frac{3}{1}-\frac{8}{11}\\=\frac{44}{33}+\frac{99}{33}-\frac{24}{33}\\=\frac{44+99-24}{33}\\=\frac{119}{33}\)
- \(+\left(\frac{-5}{2}\right)
+\left(\frac{-9}{-10}\right)
+\left(\frac{4}{7}\right)\\= \frac{-5}{2}+
\frac{9}{10}+\frac{4}{7}\\=\frac{-175}{70}+\frac{63}{70}+\frac{40}{70}\\=\frac{-175+63+40}{70}\\=\frac{-72}{70}\\=\frac{-36}{35}\)
- \(+\left(\frac{3}{2}\right)
+\left(\frac{2}{-6}\right)
-\left(\frac{7}{-9}\right)\\= \frac{3}{2}-
\frac{2}{6}+\frac{7}{9}\\=\frac{3}{2}-\frac{1}{3}+\frac{7}{9}\\=\frac{27}{18}-\frac{6}{18}+\frac{14}{18}\\=\frac{27-6+14}{18}\\=\frac{35}{18}\)
- \(+\left(\frac{-9}{8}\right)
-\left(\frac{9}{5}\right)
+\left(\frac{-8}{-10}\right)\\= \frac{-9}{8}-
\frac{9}{5}+\frac{8}{10}\\=\frac{-9}{8}-\frac{9}{5}+\frac{4}{5}\\=\frac{-45}{40}-\frac{72}{40}+\frac{32}{40}\\=\frac{-45-72+32}{40}\\=\frac{-85}{40}\\=\frac{-17}{8}\)
- \(+\left(\frac{8}{-7}\right)
+\left(\frac{3}{-6}\right)
+\left(\frac{-9}{-2}\right)\\= \frac{-8}{7}-
\frac{3}{6}+\frac{9}{2}\\=\frac{-8}{7}-\frac{1}{2}+\frac{9}{2}\\=\frac{-16}{14}-\frac{7}{14}+\frac{63}{14}\\=\frac{-16-7+63}{14}\\=\frac{40}{14}\\=\frac{20}{7}\)
- \(-\left(\frac{-7}{-2}\right)
-\left(\frac{3}{-10}\right)
-\left(\frac{8}{8}\right)\\= \frac{-7}{2}+
\frac{3}{10}-\frac{8}{8}\\=\frac{-7}{2}+\frac{3}{10}-\frac{1}{1}\\=\frac{-35}{10}+\frac{3}{10}-\frac{10}{10}\\=\frac{-35+3-10}{10}\\=\frac{-42}{10}\\=\frac{-21}{5}\)
- \(-\left(\frac{-6}{-5}\right)
-\left(\frac{9}{-4}\right)
-\left(\frac{-10}{12}\right)\\= \frac{-6}{5}+
\frac{9}{4}+\frac{10}{12}\\=\frac{-6}{5}+\frac{9}{4}+\frac{5}{6}\\=\frac{-72}{60}+\frac{135}{60}+\frac{50}{60}\\=\frac{-72+135+50}{60}\\=\frac{113}{60}\)
- \(+\left(\frac{6}{5}\right)
-\left(\frac{-4}{3}\right)
-\left(\frac{10}{-3}\right)\\= \frac{6}{5}+
\frac{4}{3}+\frac{10}{3}\\=\frac{18}{15}+\frac{20}{15}+\frac{50}{15}\\=\frac{18+20+50}{15}\\=\frac{88}{15}\)
- \(+\left(\frac{-9}{-7}\right)
+\left(\frac{-8}{6}\right)
+\left(\frac{3}{-3}\right)\\= \frac{9}{7}-
\frac{8}{6}-\frac{3}{3}\\=\frac{9}{7}-\frac{4}{3}-\frac{1}{1}\\=\frac{27}{21}-\frac{28}{21}-\frac{21}{21}\\=\frac{27-28-21}{21}\\=\frac{-22}{21}\)