Bereken
- \(+\left(\frac{4}{-9}\right)
+\left(\frac{6}{4}\right)
+\left(\frac{9}{5}\right)\)
- \(-\left(\frac{10}{-7}\right)
+\left(\frac{7}{4}\right)
+\left(\frac{11}{11}\right)\)
- \(-\left(\frac{2}{5}\right)
-\left(\frac{-3}{-9}\right)
+\left(\frac{8}{-4}\right)\)
- \(+\left(\frac{-7}{6}\right)
-\left(\frac{5}{-4}\right)
+\left(\frac{-11}{12}\right)\)
- \(+\left(\frac{2}{9}\right)
+\left(\frac{4}{-10}\right)
+\left(\frac{-7}{-10}\right)\)
- \(-\left(\frac{3}{2}\right)
-\left(\frac{3}{6}\right)
-\left(\frac{-10}{-7}\right)\)
- \(+\left(\frac{-6}{-7}\right)
-\left(\frac{-7}{4}\right)
-\left(\frac{-4}{7}\right)\)
- \(-\left(\frac{-4}{-9}\right)
-\left(\frac{10}{3}\right)
-\left(\frac{-12}{-7}\right)\)
- \(+\left(\frac{5}{6}\right)
-\left(\frac{-7}{-7}\right)
+\left(\frac{-2}{4}\right)\)
- \(+\left(\frac{4}{-3}\right)
-\left(\frac{-7}{10}\right)
+\left(\frac{5}{-6}\right)\)
- \(+\left(\frac{-8}{3}\right)
+\left(\frac{5}{2}\right)
-\left(\frac{-9}{-7}\right)\)
- \(-\left(\frac{-4}{5}\right)
-\left(\frac{-8}{10}\right)
-\left(\frac{11}{5}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{4}{-9}\right)
+\left(\frac{6}{4}\right)
+\left(\frac{9}{5}\right)\\= \frac{-4}{9}+
\frac{6}{4}+\frac{9}{5}\\=\frac{-4}{9}+\frac{3}{2}+\frac{9}{5}\\=\frac{-40}{90}+\frac{135}{90}+\frac{162}{90}\\=\frac{-40+135+162}{90}\\=\frac{257}{90}\)
- \(-\left(\frac{10}{-7}\right)
+\left(\frac{7}{4}\right)
+\left(\frac{11}{11}\right)\\= \frac{10}{7}+
\frac{7}{4}+\frac{11}{11}\\=\frac{10}{7}+\frac{7}{4}+\frac{1}{1}\\=\frac{40}{28}+\frac{49}{28}+\frac{28}{28}\\=\frac{40+49+28}{28}\\=\frac{117}{28}\)
- \(-\left(\frac{2}{5}\right)
-\left(\frac{-3}{-9}\right)
+\left(\frac{8}{-4}\right)\\= \frac{-2}{5}-
\frac{3}{9}-\frac{8}{4}\\=\frac{-2}{5}-\frac{1}{3}-\frac{2}{1}\\=\frac{-6}{15}-\frac{5}{15}-\frac{30}{15}\\=\frac{-6-5-30}{15}\\=\frac{-41}{15}\)
- \(+\left(\frac{-7}{6}\right)
-\left(\frac{5}{-4}\right)
+\left(\frac{-11}{12}\right)\\= \frac{-7}{6}+
\frac{5}{4}-\frac{11}{12}\\=\frac{-14}{12}+\frac{15}{12}-\frac{11}{12}\\=\frac{-14+15-11}{12}\\=\frac{-10}{12}\\=\frac{-5}{6}\)
- \(+\left(\frac{2}{9}\right)
+\left(\frac{4}{-10}\right)
+\left(\frac{-7}{-10}\right)\\= \frac{2}{9}-
\frac{4}{10}+\frac{7}{10}\\=\frac{2}{9}-\frac{2}{5}+\frac{7}{10}\\=\frac{20}{90}-\frac{36}{90}+\frac{63}{90}\\=\frac{20-36+63}{90}\\=\frac{47}{90}\)
- \(-\left(\frac{3}{2}\right)
-\left(\frac{3}{6}\right)
-\left(\frac{-10}{-7}\right)\\= \frac{-3}{2}-
\frac{3}{6}-\frac{10}{7}\\=\frac{-3}{2}-\frac{1}{2}-\frac{10}{7}\\=\frac{-21}{14}-\frac{7}{14}-\frac{20}{14}\\=\frac{-21-7-20}{14}\\=\frac{-48}{14}\\=\frac{-24}{7}\)
- \(+\left(\frac{-6}{-7}\right)
-\left(\frac{-7}{4}\right)
-\left(\frac{-4}{7}\right)\\= \frac{6}{7}+
\frac{7}{4}+\frac{4}{7}\\=\frac{24}{28}+\frac{49}{28}+\frac{16}{28}\\=\frac{24+49+16}{28}\\=\frac{89}{28}\)
- \(-\left(\frac{-4}{-9}\right)
-\left(\frac{10}{3}\right)
-\left(\frac{-12}{-7}\right)\\= \frac{-4}{9}-
\frac{10}{3}-\frac{12}{7}\\=\frac{-28}{63}-\frac{210}{63}-\frac{108}{63}\\=\frac{-28-210-108}{63}\\=\frac{-346}{63}\)
- \(+\left(\frac{5}{6}\right)
-\left(\frac{-7}{-7}\right)
+\left(\frac{-2}{4}\right)\\= \frac{5}{6}-
\frac{7}{7}-\frac{2}{4}\\=\frac{5}{6}-\frac{1}{1}-\frac{1}{2}\\=\frac{5-1-1}{6}\\=\frac{3}{6}\\=\frac{1}{2}\)
- \(+\left(\frac{4}{-3}\right)
-\left(\frac{-7}{10}\right)
+\left(\frac{5}{-6}\right)\\= \frac{-4}{3}+
\frac{7}{10}-\frac{5}{6}\\=\frac{-40}{30}+\frac{21}{30}-\frac{25}{30}\\=\frac{-40+21-25}{30}\\=\frac{-44}{30}\\=\frac{-22}{15}\)
- \(+\left(\frac{-8}{3}\right)
+\left(\frac{5}{2}\right)
-\left(\frac{-9}{-7}\right)\\= \frac{-8}{3}+
\frac{5}{2}-\frac{9}{7}\\=\frac{-112}{42}+\frac{105}{42}-\frac{54}{42}\\=\frac{-112+105-54}{42}\\=\frac{-61}{42}\)
- \(-\left(\frac{-4}{5}\right)
-\left(\frac{-8}{10}\right)
-\left(\frac{11}{5}\right)\\= \frac{4}{5}+
\frac{8}{10}-\frac{11}{5}\\=\frac{4}{5}+\frac{4}{5}-\frac{11}{5}\\=\frac{4+4-11}{5}\\=\frac{-3}{5}\)