Bereken
- \(-\left(\frac{-3}{-4}\right)
+\left(\frac{8}{-4}\right)
-\left(\frac{-8}{11}\right)\)
- \(+\left(\frac{2}{-3}\right)
-\left(\frac{-7}{4}\right)
+\left(\frac{-3}{3}\right)\)
- \(-\left(\frac{8}{-3}\right)
-\left(\frac{-2}{8}\right)
-\left(\frac{11}{4}\right)\)
- \(+\left(\frac{-4}{-9}\right)
+\left(\frac{8}{2}\right)
-\left(\frac{12}{12}\right)\)
- \(-\left(\frac{-8}{-3}\right)
+\left(\frac{-2}{-2}\right)
-\left(\frac{-12}{4}\right)\)
- \(-\left(\frac{-3}{-7}\right)
-\left(\frac{9}{-4}\right)
-\left(\frac{-12}{5}\right)\)
- \(+\left(\frac{-3}{7}\right)
+\left(\frac{-6}{9}\right)
-\left(\frac{6}{-12}\right)\)
- \(+\left(\frac{6}{-7}\right)
+\left(\frac{9}{-8}\right)
-\left(\frac{-8}{3}\right)\)
- \(+\left(\frac{8}{7}\right)
+\left(\frac{8}{2}\right)
-\left(\frac{5}{12}\right)\)
- \(+\left(\frac{-4}{3}\right)
+\left(\frac{7}{6}\right)
+\left(\frac{-12}{12}\right)\)
- \(-\left(\frac{-9}{2}\right)
+\left(\frac{-5}{8}\right)
+\left(\frac{-10}{10}\right)\)
- \(+\left(\frac{7}{8}\right)
+\left(\frac{2}{2}\right)
+\left(\frac{-3}{-3}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{-3}{-4}\right)
+\left(\frac{8}{-4}\right)
-\left(\frac{-8}{11}\right)\\= \frac{-3}{4}-
\frac{8}{4}+\frac{8}{11}\\=\frac{-3}{4}-\frac{2}{1}+\frac{8}{11}\\=\frac{-33}{44}-\frac{88}{44}+\frac{32}{44}\\=\frac{-33-88+32}{44}\\=\frac{-89}{44}\)
- \(+\left(\frac{2}{-3}\right)
-\left(\frac{-7}{4}\right)
+\left(\frac{-3}{3}\right)\\= \frac{-2}{3}+
\frac{7}{4}-\frac{3}{3}\\=\frac{-2}{3}+\frac{7}{4}-\frac{1}{1}\\=\frac{-8}{12}+\frac{21}{12}-\frac{12}{12}\\=\frac{-8+21-12}{12}\\=\frac{1}{12}\)
- \(-\left(\frac{8}{-3}\right)
-\left(\frac{-2}{8}\right)
-\left(\frac{11}{4}\right)\\= \frac{8}{3}+
\frac{2}{8}-\frac{11}{4}\\=\frac{8}{3}+\frac{1}{4}-\frac{11}{4}\\=\frac{32}{12}+\frac{3}{12}-\frac{33}{12}\\=\frac{32+3-33}{12}\\=\frac{2}{12}\\=\frac{1}{6}\)
- \(+\left(\frac{-4}{-9}\right)
+\left(\frac{8}{2}\right)
-\left(\frac{12}{12}\right)\\= \frac{4}{9}+
\frac{8}{2}-\frac{12}{12}\\=\frac{4}{9}+\frac{4}{1}-\frac{1}{1}\\=\frac{4+4-1}{9}\\=\frac{7}{9}\)
- \(-\left(\frac{-8}{-3}\right)
+\left(\frac{-2}{-2}\right)
-\left(\frac{-12}{4}\right)\\= \frac{-8}{3}+
\frac{2}{2}+\frac{12}{4}\\=\frac{-8}{3}+\frac{1}{1}+\frac{3}{1}\\=\frac{-8+1+3}{3}\\=\frac{-4}{3}\)
- \(-\left(\frac{-3}{-7}\right)
-\left(\frac{9}{-4}\right)
-\left(\frac{-12}{5}\right)\\= \frac{-3}{7}+
\frac{9}{4}+\frac{12}{5}\\=\frac{-60}{140}+\frac{315}{140}+\frac{336}{140}\\=\frac{-60+315+336}{140}\\=\frac{591}{140}\)
- \(+\left(\frac{-3}{7}\right)
+\left(\frac{-6}{9}\right)
-\left(\frac{6}{-12}\right)\\= \frac{-3}{7}-
\frac{6}{9}+\frac{6}{12}\\=\frac{-3}{7}-\frac{2}{3}+\frac{1}{2}\\=\frac{-18}{42}-\frac{28}{42}+\frac{21}{42}\\=\frac{-18-28+21}{42}\\=\frac{-25}{42}\)
- \(+\left(\frac{6}{-7}\right)
+\left(\frac{9}{-8}\right)
-\left(\frac{-8}{3}\right)\\= \frac{-6}{7}-
\frac{9}{8}+\frac{8}{3}\\=\frac{-144}{168}-\frac{189}{168}+\frac{448}{168}\\=\frac{-144-189+448}{168}\\=\frac{115}{168}\)
- \(+\left(\frac{8}{7}\right)
+\left(\frac{8}{2}\right)
-\left(\frac{5}{12}\right)\\= \frac{8}{7}+
\frac{8}{2}-\frac{5}{12}\\=\frac{8}{7}+\frac{4}{1}-\frac{5}{12}\\=\frac{96}{84}+\frac{336}{84}-\frac{35}{84}\\=\frac{96+336-35}{84}\\=\frac{397}{84}\)
- \(+\left(\frac{-4}{3}\right)
+\left(\frac{7}{6}\right)
+\left(\frac{-12}{12}\right)\\= \frac{-4}{3}+
\frac{7}{6}-\frac{12}{12}\\=\frac{-4}{3}+\frac{7}{6}-\frac{1}{1}\\=\frac{-8}{6}+\frac{7}{6}-\frac{6}{6}\\=\frac{-8+7-6}{6}\\=\frac{-7}{6}\)
- \(-\left(\frac{-9}{2}\right)
+\left(\frac{-5}{8}\right)
+\left(\frac{-10}{10}\right)\\= \frac{9}{2}-
\frac{5}{8}-\frac{10}{10}\\=\frac{9}{2}-\frac{5}{8}-\frac{1}{1}\\=\frac{36}{8}-\frac{5}{8}-\frac{8}{8}\\=\frac{36-5-8}{8}\\=\frac{23}{8}\)
- \(+\left(\frac{7}{8}\right)
+\left(\frac{2}{2}\right)
+\left(\frac{-3}{-3}\right)\\= \frac{7}{8}+
\frac{2}{2}+\frac{3}{3}\\=\frac{7}{8}+\frac{1}{1}+\frac{1}{1}\\=\frac{7+1+1}{8}\\=\frac{9}{8}\)