Bereken
- \(-\left(\frac{7}{-4}\right)
-\left(\frac{5}{2}\right)
+\left(\frac{11}{12}\right)\)
- \(+\left(\frac{-4}{3}\right)
+\left(\frac{-10}{-6}\right)
+\left(\frac{3}{12}\right)\)
- \(+\left(\frac{-4}{-7}\right)
-\left(\frac{-2}{9}\right)
-\left(\frac{-3}{12}\right)\)
- \(-\left(\frac{-4}{-3}\right)
+\left(\frac{2}{-6}\right)
+\left(\frac{-3}{2}\right)\)
- \(+\left(\frac{-3}{8}\right)
+\left(\frac{-10}{-4}\right)
+\left(\frac{-3}{-6}\right)\)
- \(-\left(\frac{-9}{4}\right)
-\left(\frac{-9}{-4}\right)
-\left(\frac{2}{-12}\right)\)
- \(-\left(\frac{-4}{3}\right)
+\left(\frac{5}{5}\right)
-\left(\frac{3}{6}\right)\)
- \(-\left(\frac{8}{7}\right)
+\left(\frac{-7}{9}\right)
-\left(\frac{9}{4}\right)\)
- \(-\left(\frac{7}{-2}\right)
-\left(\frac{-10}{-10}\right)
+\left(\frac{7}{-4}\right)\)
- \(-\left(\frac{-8}{5}\right)
-\left(\frac{10}{3}\right)
-\left(\frac{-11}{-9}\right)\)
- \(+\left(\frac{6}{-5}\right)
+\left(\frac{5}{8}\right)
-\left(\frac{-7}{3}\right)\)
- \(+\left(\frac{6}{-5}\right)
+\left(\frac{-7}{2}\right)
+\left(\frac{-11}{-7}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{7}{-4}\right)
-\left(\frac{5}{2}\right)
+\left(\frac{11}{12}\right)\\= \frac{7}{4}-
\frac{5}{2}+\frac{11}{12}\\=\frac{21}{12}-\frac{30}{12}+\frac{11}{12}\\=\frac{21-30+11}{12}\\=\frac{2}{12}\\=\frac{1}{6}\)
- \(+\left(\frac{-4}{3}\right)
+\left(\frac{-10}{-6}\right)
+\left(\frac{3}{12}\right)\\= \frac{-4}{3}+
\frac{10}{6}+\frac{3}{12}\\=\frac{-4}{3}+\frac{5}{3}+\frac{1}{4}\\=\frac{-16}{12}+\frac{20}{12}+\frac{3}{12}\\=\frac{-16+20+3}{12}\\=\frac{7}{12}\)
- \(+\left(\frac{-4}{-7}\right)
-\left(\frac{-2}{9}\right)
-\left(\frac{-3}{12}\right)\\= \frac{4}{7}+
\frac{2}{9}+\frac{3}{12}\\=\frac{4}{7}+\frac{2}{9}+\frac{1}{4}\\=\frac{144}{252}+\frac{56}{252}+\frac{63}{252}\\=\frac{144+56+63}{252}\\=\frac{263}{252}\)
- \(-\left(\frac{-4}{-3}\right)
+\left(\frac{2}{-6}\right)
+\left(\frac{-3}{2}\right)\\= \frac{-4}{3}-
\frac{2}{6}-\frac{3}{2}\\=\frac{-4}{3}-\frac{1}{3}-\frac{3}{2}\\=\frac{-8}{6}-\frac{2}{6}-\frac{9}{6}\\=\frac{-8-2-9}{6}\\=\frac{-19}{6}\)
- \(+\left(\frac{-3}{8}\right)
+\left(\frac{-10}{-4}\right)
+\left(\frac{-3}{-6}\right)\\= \frac{-3}{8}+
\frac{10}{4}+\frac{3}{6}\\=\frac{-3}{8}+\frac{5}{2}+\frac{1}{2}\\=\frac{-3+5+1}{8}\\=\frac{3}{8}\)
- \(-\left(\frac{-9}{4}\right)
-\left(\frac{-9}{-4}\right)
-\left(\frac{2}{-12}\right)\\= \frac{9}{4}-
\frac{9}{4}+\frac{2}{12}\\=\frac{9}{4}-\frac{9}{4}+\frac{1}{6}\\=\frac{27}{12}-\frac{27}{12}+\frac{2}{12}\\=\frac{27-27+2}{12}\\=\frac{2}{12}\\=\frac{1}{6}\)
- \(-\left(\frac{-4}{3}\right)
+\left(\frac{5}{5}\right)
-\left(\frac{3}{6}\right)\\= \frac{4}{3}+
\frac{5}{5}-\frac{3}{6}\\=\frac{4}{3}+\frac{1}{1}-\frac{1}{2}\\=\frac{8}{6}+\frac{6}{6}-\frac{3}{6}\\=\frac{8+6-3}{6}\\=\frac{11}{6}\)
- \(-\left(\frac{8}{7}\right)
+\left(\frac{-7}{9}\right)
-\left(\frac{9}{4}\right)\\= \frac{-8}{7}-
\frac{7}{9}-\frac{9}{4}\\=\frac{-288}{252}-\frac{196}{252}-\frac{567}{252}\\=\frac{-288-196-567}{252}\\=\frac{-1051}{252}\)
- \(-\left(\frac{7}{-2}\right)
-\left(\frac{-10}{-10}\right)
+\left(\frac{7}{-4}\right)\\= \frac{7}{2}-
\frac{10}{10}-\frac{7}{4}\\=\frac{7}{2}-\frac{1}{1}-\frac{7}{4}\\=\frac{14}{4}-\frac{4}{4}-\frac{7}{4}\\=\frac{14-4-7}{4}\\=\frac{3}{4}\)
- \(-\left(\frac{-8}{5}\right)
-\left(\frac{10}{3}\right)
-\left(\frac{-11}{-9}\right)\\= \frac{8}{5}-
\frac{10}{3}-\frac{11}{9}\\=\frac{72}{45}-\frac{150}{45}-\frac{55}{45}\\=\frac{72-150-55}{45}\\=\frac{-133}{45}\)
- \(+\left(\frac{6}{-5}\right)
+\left(\frac{5}{8}\right)
-\left(\frac{-7}{3}\right)\\= \frac{-6}{5}+
\frac{5}{8}+\frac{7}{3}\\=\frac{-144}{120}+\frac{75}{120}+\frac{280}{120}\\=\frac{-144+75+280}{120}\\=\frac{211}{120}\)
- \(+\left(\frac{6}{-5}\right)
+\left(\frac{-7}{2}\right)
+\left(\frac{-11}{-7}\right)\\= \frac{-6}{5}-
\frac{7}{2}+\frac{11}{7}\\=\frac{-84}{70}-\frac{245}{70}+\frac{110}{70}\\=\frac{-84-245+110}{70}\\=\frac{-219}{70}\)