Bereken
- \(+\left(\frac{-2}{-3}\right)
-\left(\frac{6}{3}\right)
-\left(\frac{-6}{2}\right)\)
- \(-\left(\frac{3}{7}\right)
+\left(\frac{3}{6}\right)
+\left(\frac{4}{-7}\right)\)
- \(-\left(\frac{3}{4}\right)
+\left(\frac{10}{-5}\right)
-\left(\frac{-4}{-10}\right)\)
- \(-\left(\frac{-3}{-2}\right)
+\left(\frac{8}{8}\right)
-\left(\frac{4}{11}\right)\)
- \(-\left(\frac{-10}{9}\right)
-\left(\frac{9}{-3}\right)
+\left(\frac{7}{11}\right)\)
- \(+\left(\frac{6}{5}\right)
-\left(\frac{4}{8}\right)
+\left(\frac{-2}{2}\right)\)
- \(-\left(\frac{5}{2}\right)
-\left(\frac{-5}{7}\right)
-\left(\frac{2}{-2}\right)\)
- \(+\left(\frac{6}{-5}\right)
+\left(\frac{-7}{7}\right)
+\left(\frac{-3}{9}\right)\)
- \(-\left(\frac{-5}{9}\right)
+\left(\frac{5}{2}\right)
-\left(\frac{4}{8}\right)\)
- \(-\left(\frac{9}{2}\right)
+\left(\frac{-2}{10}\right)
+\left(\frac{-11}{-12}\right)\)
- \(-\left(\frac{5}{8}\right)
+\left(\frac{-10}{-6}\right)
+\left(\frac{11}{-5}\right)\)
- \(-\left(\frac{-9}{-8}\right)
-\left(\frac{7}{2}\right)
-\left(\frac{-12}{-11}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{-2}{-3}\right)
-\left(\frac{6}{3}\right)
-\left(\frac{-6}{2}\right)\\= \frac{2}{3}-
\frac{6}{3}+\frac{6}{2}\\=\frac{2}{3}-\frac{2}{1}+\frac{3}{1}\\=\frac{2-2+3}{3}\\=\frac{3}{3}\\=\frac{1}{1}\)
- \(-\left(\frac{3}{7}\right)
+\left(\frac{3}{6}\right)
+\left(\frac{4}{-7}\right)\\= \frac{-3}{7}+
\frac{3}{6}-\frac{4}{7}\\=\frac{-3}{7}+\frac{1}{2}-\frac{4}{7}\\=\frac{-6}{14}+\frac{7}{14}-\frac{8}{14}\\=\frac{-6+7-8}{14}\\=\frac{-7}{14}\\=\frac{-1}{2}\)
- \(-\left(\frac{3}{4}\right)
+\left(\frac{10}{-5}\right)
-\left(\frac{-4}{-10}\right)\\= \frac{-3}{4}-
\frac{10}{5}-\frac{4}{10}\\=\frac{-3}{4}-\frac{2}{1}-\frac{2}{5}\\=\frac{-15}{20}-\frac{40}{20}-\frac{8}{20}\\=\frac{-15-40-8}{20}\\=\frac{-63}{20}\)
- \(-\left(\frac{-3}{-2}\right)
+\left(\frac{8}{8}\right)
-\left(\frac{4}{11}\right)\\= \frac{-3}{2}+
\frac{8}{8}-\frac{4}{11}\\=\frac{-3}{2}+\frac{1}{1}-\frac{4}{11}\\=\frac{-33}{22}+\frac{22}{22}-\frac{8}{22}\\=\frac{-33+22-8}{22}\\=\frac{-19}{22}\)
- \(-\left(\frac{-10}{9}\right)
-\left(\frac{9}{-3}\right)
+\left(\frac{7}{11}\right)\\= \frac{10}{9}+
\frac{9}{3}+\frac{7}{11}\\=\frac{10}{9}+\frac{3}{1}+\frac{7}{11}\\=\frac{110}{99}+\frac{297}{99}+\frac{63}{99}\\=\frac{110+297+63}{99}\\=\frac{470}{99}\)
- \(+\left(\frac{6}{5}\right)
-\left(\frac{4}{8}\right)
+\left(\frac{-2}{2}\right)\\= \frac{6}{5}-
\frac{4}{8}-\frac{2}{2}\\=\frac{6}{5}-\frac{1}{2}-\frac{1}{1}\\=\frac{12}{10}-\frac{5}{10}-\frac{10}{10}\\=\frac{12-5-10}{10}\\=\frac{-3}{10}\)
- \(-\left(\frac{5}{2}\right)
-\left(\frac{-5}{7}\right)
-\left(\frac{2}{-2}\right)\\= \frac{-5}{2}+
\frac{5}{7}+\frac{2}{2}\\=\frac{-5}{2}+\frac{5}{7}+\frac{1}{1}\\=\frac{-35}{14}+\frac{10}{14}+\frac{14}{14}\\=\frac{-35+10+14}{14}\\=\frac{-11}{14}\)
- \(+\left(\frac{6}{-5}\right)
+\left(\frac{-7}{7}\right)
+\left(\frac{-3}{9}\right)\\= \frac{-6}{5}-
\frac{7}{7}-\frac{3}{9}\\=\frac{-6}{5}-\frac{1}{1}-\frac{1}{3}\\=\frac{-18}{15}-\frac{15}{15}-\frac{5}{15}\\=\frac{-18-15-5}{15}\\=\frac{-38}{15}\)
- \(-\left(\frac{-5}{9}\right)
+\left(\frac{5}{2}\right)
-\left(\frac{4}{8}\right)\\= \frac{5}{9}+
\frac{5}{2}-\frac{4}{8}\\=\frac{5}{9}+\frac{5}{2}-\frac{1}{2}\\=\frac{10}{18}+\frac{45}{18}-\frac{9}{18}\\=\frac{10+45-9}{18}\\=\frac{46}{18}\\=\frac{23}{9}\)
- \(-\left(\frac{9}{2}\right)
+\left(\frac{-2}{10}\right)
+\left(\frac{-11}{-12}\right)\\= \frac{-9}{2}-
\frac{2}{10}+\frac{11}{12}\\=\frac{-9}{2}-\frac{1}{5}+\frac{11}{12}\\=\frac{-270}{60}-\frac{12}{60}+\frac{55}{60}\\=\frac{-270-12+55}{60}\\=\frac{-227}{60}\)
- \(-\left(\frac{5}{8}\right)
+\left(\frac{-10}{-6}\right)
+\left(\frac{11}{-5}\right)\\= \frac{-5}{8}+
\frac{10}{6}-\frac{11}{5}\\=\frac{-5}{8}+\frac{5}{3}-\frac{11}{5}\\=\frac{-75}{120}+\frac{200}{120}-\frac{264}{120}\\=\frac{-75+200-264}{120}\\=\frac{-139}{120}\)
- \(-\left(\frac{-9}{-8}\right)
-\left(\frac{7}{2}\right)
-\left(\frac{-12}{-11}\right)\\= \frac{-9}{8}-
\frac{7}{2}-\frac{12}{11}\\=\frac{-99}{88}-\frac{308}{88}-\frac{96}{88}\\=\frac{-99-308-96}{88}\\=\frac{-503}{88}\)