Bereken
- \(+\left(\frac{-10}{-7}\right)
-\left(\frac{3}{-4}\right)
+\left(\frac{4}{-7}\right)\)
- \(+\left(\frac{-2}{-7}\right)
-\left(\frac{2}{-6}\right)
-\left(\frac{-7}{-6}\right)\)
- \(-\left(\frac{-4}{3}\right)
+\left(\frac{-9}{8}\right)
+\left(\frac{-9}{-4}\right)\)
- \(+\left(\frac{-7}{6}\right)
-\left(\frac{5}{-6}\right)
+\left(\frac{-5}{-10}\right)\)
- \(+\left(\frac{-8}{-9}\right)
+\left(\frac{9}{-5}\right)
+\left(\frac{-11}{7}\right)\)
- \(+\left(\frac{2}{-5}\right)
+\left(\frac{5}{-8}\right)
+\left(\frac{-5}{-6}\right)\)
- \(+\left(\frac{-9}{-4}\right)
-\left(\frac{-6}{-5}\right)
+\left(\frac{7}{12}\right)\)
- \(+\left(\frac{-3}{8}\right)
+\left(\frac{-10}{-6}\right)
+\left(\frac{10}{-2}\right)\)
- \(+\left(\frac{3}{8}\right)
-\left(\frac{-3}{-6}\right)
+\left(\frac{-7}{8}\right)\)
- \(+\left(\frac{7}{8}\right)
+\left(\frac{-8}{-4}\right)
-\left(\frac{-12}{9}\right)\)
- \(+\left(\frac{-7}{-6}\right)
+\left(\frac{-6}{-7}\right)
-\left(\frac{-8}{4}\right)\)
- \(+\left(\frac{4}{-5}\right)
+\left(\frac{-8}{10}\right)
+\left(\frac{-6}{-12}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{-10}{-7}\right)
-\left(\frac{3}{-4}\right)
+\left(\frac{4}{-7}\right)\\= \frac{10}{7}+
\frac{3}{4}-\frac{4}{7}\\=\frac{40}{28}+\frac{21}{28}-\frac{16}{28}\\=\frac{40+21-16}{28}\\=\frac{45}{28}\)
- \(+\left(\frac{-2}{-7}\right)
-\left(\frac{2}{-6}\right)
-\left(\frac{-7}{-6}\right)\\= \frac{2}{7}+
\frac{2}{6}-\frac{7}{6}\\=\frac{2}{7}+\frac{1}{3}-\frac{7}{6}\\=\frac{12}{42}+\frac{14}{42}-\frac{49}{42}\\=\frac{12+14-49}{42}\\=\frac{-23}{42}\)
- \(-\left(\frac{-4}{3}\right)
+\left(\frac{-9}{8}\right)
+\left(\frac{-9}{-4}\right)\\= \frac{4}{3}-
\frac{9}{8}+\frac{9}{4}\\=\frac{32}{24}-\frac{27}{24}+\frac{54}{24}\\=\frac{32-27+54}{24}\\=\frac{59}{24}\)
- \(+\left(\frac{-7}{6}\right)
-\left(\frac{5}{-6}\right)
+\left(\frac{-5}{-10}\right)\\= \frac{-7}{6}+
\frac{5}{6}+\frac{5}{10}\\=\frac{-7}{6}+\frac{5}{6}+\frac{1}{2}\\=\frac{-7+5+1}{6}\\=\frac{-1}{6}\)
- \(+\left(\frac{-8}{-9}\right)
+\left(\frac{9}{-5}\right)
+\left(\frac{-11}{7}\right)\\= \frac{8}{9}-
\frac{9}{5}-\frac{11}{7}\\=\frac{280}{315}-\frac{567}{315}-\frac{495}{315}\\=\frac{280-567-495}{315}\\=\frac{-782}{315}\)
- \(+\left(\frac{2}{-5}\right)
+\left(\frac{5}{-8}\right)
+\left(\frac{-5}{-6}\right)\\= \frac{-2}{5}-
\frac{5}{8}+\frac{5}{6}\\=\frac{-48}{120}-\frac{75}{120}+\frac{100}{120}\\=\frac{-48-75+100}{120}\\=\frac{-23}{120}\)
- \(+\left(\frac{-9}{-4}\right)
-\left(\frac{-6}{-5}\right)
+\left(\frac{7}{12}\right)\\= \frac{9}{4}-
\frac{6}{5}+\frac{7}{12}\\=\frac{135}{60}-\frac{72}{60}+\frac{35}{60}\\=\frac{135-72+35}{60}\\=\frac{98}{60}\\=\frac{49}{30}\)
- \(+\left(\frac{-3}{8}\right)
+\left(\frac{-10}{-6}\right)
+\left(\frac{10}{-2}\right)\\= \frac{-3}{8}+
\frac{10}{6}-\frac{10}{2}\\=\frac{-3}{8}+\frac{5}{3}-\frac{5}{1}\\=\frac{-9}{24}+\frac{40}{24}-\frac{120}{24}\\=\frac{-9+40-120}{24}\\=\frac{-89}{24}\)
- \(+\left(\frac{3}{8}\right)
-\left(\frac{-3}{-6}\right)
+\left(\frac{-7}{8}\right)\\= \frac{3}{8}-
\frac{3}{6}-\frac{7}{8}\\=\frac{3}{8}-\frac{1}{2}-\frac{7}{8}\\=\frac{3-1-7}{8}\\=\frac{-5}{8}\)
- \(+\left(\frac{7}{8}\right)
+\left(\frac{-8}{-4}\right)
-\left(\frac{-12}{9}\right)\\= \frac{7}{8}+
\frac{8}{4}+\frac{12}{9}\\=\frac{7}{8}+\frac{2}{1}+\frac{4}{3}\\=\frac{21}{24}+\frac{48}{24}+\frac{32}{24}\\=\frac{21+48+32}{24}\\=\frac{101}{24}\)
- \(+\left(\frac{-7}{-6}\right)
+\left(\frac{-6}{-7}\right)
-\left(\frac{-8}{4}\right)\\= \frac{7}{6}+
\frac{6}{7}+\frac{8}{4}\\=\frac{7}{6}+\frac{6}{7}+\frac{2}{1}\\=\frac{49}{42}+\frac{36}{42}+\frac{84}{42}\\=\frac{49+36+84}{42}\\=\frac{169}{42}\)
- \(+\left(\frac{4}{-5}\right)
+\left(\frac{-8}{10}\right)
+\left(\frac{-6}{-12}\right)\\= \frac{-4}{5}-
\frac{8}{10}+\frac{6}{12}\\=\frac{-4}{5}-\frac{4}{5}+\frac{1}{2}\\=\frac{-8}{10}-\frac{8}{10}+\frac{5}{10}\\=\frac{-8-8+5}{10}\\=\frac{-11}{10}\)