Bereken
- \(-\left(\frac{-4}{-7}\right)
+\left(\frac{-7}{-6}\right)
-\left(\frac{-12}{11}\right)\)
- \(-\left(\frac{7}{8}\right)
-\left(\frac{-2}{-3}\right)
-\left(\frac{-4}{-2}\right)\)
- \(-\left(\frac{8}{5}\right)
-\left(\frac{5}{4}\right)
-\left(\frac{-12}{6}\right)\)
- \(-\left(\frac{7}{2}\right)
+\left(\frac{-3}{-6}\right)
-\left(\frac{-12}{2}\right)\)
- \(-\left(\frac{4}{-3}\right)
+\left(\frac{4}{3}\right)
+\left(\frac{5}{-9}\right)\)
- \(+\left(\frac{10}{-3}\right)
-\left(\frac{3}{-10}\right)
-\left(\frac{6}{-5}\right)\)
- \(-\left(\frac{-3}{7}\right)
+\left(\frac{7}{2}\right)
+\left(\frac{-12}{7}\right)\)
- \(-\left(\frac{-6}{-7}\right)
-\left(\frac{-8}{-6}\right)
+\left(\frac{3}{11}\right)\)
- \(+\left(\frac{-4}{-3}\right)
+\left(\frac{10}{-6}\right)
+\left(\frac{9}{-5}\right)\)
- \(-\left(\frac{-9}{4}\right)
-\left(\frac{-9}{8}\right)
-\left(\frac{2}{12}\right)\)
- \(-\left(\frac{-8}{-7}\right)
-\left(\frac{9}{8}\right)
+\left(\frac{8}{-10}\right)\)
- \(-\left(\frac{-2}{3}\right)
+\left(\frac{9}{-8}\right)
+\left(\frac{9}{-10}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{-4}{-7}\right)
+\left(\frac{-7}{-6}\right)
-\left(\frac{-12}{11}\right)\\= \frac{-4}{7}+
\frac{7}{6}+\frac{12}{11}\\=\frac{-264}{462}+\frac{539}{462}+\frac{504}{462}\\=\frac{-264+539+504}{462}\\=\frac{779}{462}\)
- \(-\left(\frac{7}{8}\right)
-\left(\frac{-2}{-3}\right)
-\left(\frac{-4}{-2}\right)\\= \frac{-7}{8}-
\frac{2}{3}-\frac{4}{2}\\=\frac{-7}{8}-\frac{2}{3}-\frac{2}{1}\\=\frac{-21}{24}-\frac{16}{24}-\frac{48}{24}\\=\frac{-21-16-48}{24}\\=\frac{-85}{24}\)
- \(-\left(\frac{8}{5}\right)
-\left(\frac{5}{4}\right)
-\left(\frac{-12}{6}\right)\\= \frac{-8}{5}-
\frac{5}{4}+\frac{12}{6}\\=\frac{-8}{5}-\frac{5}{4}+\frac{2}{1}\\=\frac{-32}{20}-\frac{25}{20}+\frac{40}{20}\\=\frac{-32-25+40}{20}\\=\frac{-17}{20}\)
- \(-\left(\frac{7}{2}\right)
+\left(\frac{-3}{-6}\right)
-\left(\frac{-12}{2}\right)\\= \frac{-7}{2}+
\frac{3}{6}+\frac{12}{2}\\=\frac{-7}{2}+\frac{1}{2}+\frac{6}{1}\\=\frac{-7+1+6}{2}\\=\frac{0}{2}\\=\frac{0}{1}\)
- \(-\left(\frac{4}{-3}\right)
+\left(\frac{4}{3}\right)
+\left(\frac{5}{-9}\right)\\= \frac{4}{3}+
\frac{4}{3}-\frac{5}{9}\\=\frac{12}{9}+\frac{12}{9}-\frac{5}{9}\\=\frac{12+12-5}{9}\\=\frac{19}{9}\)
- \(+\left(\frac{10}{-3}\right)
-\left(\frac{3}{-10}\right)
-\left(\frac{6}{-5}\right)\\= \frac{-10}{3}+
\frac{3}{10}+\frac{6}{5}\\=\frac{-100}{30}+\frac{9}{30}+\frac{36}{30}\\=\frac{-100+9+36}{30}\\=\frac{-55}{30}\\=\frac{-11}{6}\)
- \(-\left(\frac{-3}{7}\right)
+\left(\frac{7}{2}\right)
+\left(\frac{-12}{7}\right)\\= \frac{3}{7}+
\frac{7}{2}-\frac{12}{7}\\=\frac{6}{14}+\frac{49}{14}-\frac{24}{14}\\=\frac{6+49-24}{14}\\=\frac{31}{14}\)
- \(-\left(\frac{-6}{-7}\right)
-\left(\frac{-8}{-6}\right)
+\left(\frac{3}{11}\right)\\= \frac{-6}{7}-
\frac{8}{6}+\frac{3}{11}\\=\frac{-6}{7}-\frac{4}{3}+\frac{3}{11}\\=\frac{-198}{231}-\frac{308}{231}+\frac{63}{231}\\=\frac{-198-308+63}{231}\\=\frac{-443}{231}\)
- \(+\left(\frac{-4}{-3}\right)
+\left(\frac{10}{-6}\right)
+\left(\frac{9}{-5}\right)\\= \frac{4}{3}-
\frac{10}{6}-\frac{9}{5}\\=\frac{4}{3}-\frac{5}{3}-\frac{9}{5}\\=\frac{20}{15}-\frac{25}{15}-\frac{27}{15}\\=\frac{20-25-27}{15}\\=\frac{-32}{15}\)
- \(-\left(\frac{-9}{4}\right)
-\left(\frac{-9}{8}\right)
-\left(\frac{2}{12}\right)\\= \frac{9}{4}+
\frac{9}{8}-\frac{2}{12}\\=\frac{9}{4}+\frac{9}{8}-\frac{1}{6}\\=\frac{54}{24}+\frac{27}{24}-\frac{4}{24}\\=\frac{54+27-4}{24}\\=\frac{77}{24}\)
- \(-\left(\frac{-8}{-7}\right)
-\left(\frac{9}{8}\right)
+\left(\frac{8}{-10}\right)\\= \frac{-8}{7}-
\frac{9}{8}-\frac{8}{10}\\=\frac{-8}{7}-\frac{9}{8}-\frac{4}{5}\\=\frac{-320}{280}-\frac{315}{280}-\frac{224}{280}\\=\frac{-320-315-224}{280}\\=\frac{-859}{280}\)
- \(-\left(\frac{-2}{3}\right)
+\left(\frac{9}{-8}\right)
+\left(\frac{9}{-10}\right)\\= \frac{2}{3}-
\frac{9}{8}-\frac{9}{10}\\=\frac{80}{120}-\frac{135}{120}-\frac{108}{120}\\=\frac{80-135-108}{120}\\=\frac{-163}{120}\)