Bereken
- \(-\left(\frac{-8}{5}\right)
+\left(\frac{-3}{-4}\right)
+\left(\frac{-9}{9}\right)\)
- \(+\left(\frac{2}{9}\right)
+\left(\frac{-7}{6}\right)
+\left(\frac{-10}{2}\right)\)
- \(+\left(\frac{-10}{3}\right)
-\left(\frac{3}{-5}\right)
+\left(\frac{9}{9}\right)\)
- \(+\left(\frac{10}{7}\right)
+\left(\frac{2}{-4}\right)
-\left(\frac{-5}{-2}\right)\)
- \(-\left(\frac{2}{-7}\right)
-\left(\frac{10}{8}\right)
+\left(\frac{-6}{10}\right)\)
- \(+\left(\frac{8}{3}\right)
+\left(\frac{4}{3}\right)
-\left(\frac{-3}{6}\right)\)
- \(+\left(\frac{-9}{8}\right)
+\left(\frac{-7}{-3}\right)
-\left(\frac{6}{-8}\right)\)
- \(+\left(\frac{10}{7}\right)
+\left(\frac{2}{-9}\right)
-\left(\frac{8}{6}\right)\)
- \(+\left(\frac{4}{7}\right)
+\left(\frac{9}{5}\right)
-\left(\frac{-4}{-9}\right)\)
- \(-\left(\frac{-6}{5}\right)
+\left(\frac{2}{7}\right)
-\left(\frac{5}{12}\right)\)
- \(+\left(\frac{7}{-3}\right)
+\left(\frac{5}{-6}\right)
+\left(\frac{-8}{3}\right)\)
- \(-\left(\frac{8}{-5}\right)
+\left(\frac{5}{3}\right)
-\left(\frac{-12}{4}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{-8}{5}\right)
+\left(\frac{-3}{-4}\right)
+\left(\frac{-9}{9}\right)\\= \frac{8}{5}+
\frac{3}{4}-\frac{9}{9}\\=\frac{8}{5}+\frac{3}{4}-\frac{1}{1}\\=\frac{32}{20}+\frac{15}{20}-\frac{20}{20}\\=\frac{32+15-20}{20}\\=\frac{27}{20}\)
- \(+\left(\frac{2}{9}\right)
+\left(\frac{-7}{6}\right)
+\left(\frac{-10}{2}\right)\\= \frac{2}{9}-
\frac{7}{6}-\frac{10}{2}\\=\frac{2}{9}-\frac{7}{6}-\frac{5}{1}\\=\frac{4}{18}-\frac{21}{18}-\frac{90}{18}\\=\frac{4-21-90}{18}\\=\frac{-107}{18}\)
- \(+\left(\frac{-10}{3}\right)
-\left(\frac{3}{-5}\right)
+\left(\frac{9}{9}\right)\\= \frac{-10}{3}+
\frac{3}{5}+\frac{9}{9}\\=\frac{-10}{3}+\frac{3}{5}+\frac{1}{1}\\=\frac{-50}{15}+\frac{9}{15}+\frac{15}{15}\\=\frac{-50+9+15}{15}\\=\frac{-26}{15}\)
- \(+\left(\frac{10}{7}\right)
+\left(\frac{2}{-4}\right)
-\left(\frac{-5}{-2}\right)\\= \frac{10}{7}-
\frac{2}{4}-\frac{5}{2}\\=\frac{10}{7}-\frac{1}{2}-\frac{5}{2}\\=\frac{20}{14}-\frac{7}{14}-\frac{35}{14}\\=\frac{20-7-35}{14}\\=\frac{-22}{14}\\=\frac{-11}{7}\)
- \(-\left(\frac{2}{-7}\right)
-\left(\frac{10}{8}\right)
+\left(\frac{-6}{10}\right)\\= \frac{2}{7}-
\frac{10}{8}-\frac{6}{10}\\=\frac{2}{7}-\frac{5}{4}-\frac{3}{5}\\=\frac{40}{140}-\frac{175}{140}-\frac{84}{140}\\=\frac{40-175-84}{140}\\=\frac{-219}{140}\)
- \(+\left(\frac{8}{3}\right)
+\left(\frac{4}{3}\right)
-\left(\frac{-3}{6}\right)\\= \frac{8}{3}+
\frac{4}{3}+\frac{3}{6}\\=\frac{8}{3}+\frac{4}{3}+\frac{1}{2}\\=\frac{16}{6}+\frac{8}{6}+\frac{3}{6}\\=\frac{16+8+3}{6}\\=\frac{27}{6}\\=\frac{9}{2}\)
- \(+\left(\frac{-9}{8}\right)
+\left(\frac{-7}{-3}\right)
-\left(\frac{6}{-8}\right)\\= \frac{-9}{8}+
\frac{7}{3}+\frac{6}{8}\\=\frac{-9}{8}+\frac{7}{3}+\frac{3}{4}\\=\frac{-27}{24}+\frac{56}{24}+\frac{18}{24}\\=\frac{-27+56+18}{24}\\=\frac{47}{24}\)
- \(+\left(\frac{10}{7}\right)
+\left(\frac{2}{-9}\right)
-\left(\frac{8}{6}\right)\\= \frac{10}{7}-
\frac{2}{9}-\frac{8}{6}\\=\frac{10}{7}-\frac{2}{9}-\frac{4}{3}\\=\frac{90}{63}-\frac{14}{63}-\frac{84}{63}\\=\frac{90-14-84}{63}\\=\frac{-8}{63}\)
- \(+\left(\frac{4}{7}\right)
+\left(\frac{9}{5}\right)
-\left(\frac{-4}{-9}\right)\\= \frac{4}{7}+
\frac{9}{5}-\frac{4}{9}\\=\frac{180}{315}+\frac{567}{315}-\frac{140}{315}\\=\frac{180+567-140}{315}\\=\frac{607}{315}\)
- \(-\left(\frac{-6}{5}\right)
+\left(\frac{2}{7}\right)
-\left(\frac{5}{12}\right)\\= \frac{6}{5}+
\frac{2}{7}-\frac{5}{12}\\=\frac{504}{420}+\frac{120}{420}-\frac{175}{420}\\=\frac{504+120-175}{420}\\=\frac{449}{420}\)
- \(+\left(\frac{7}{-3}\right)
+\left(\frac{5}{-6}\right)
+\left(\frac{-8}{3}\right)\\= \frac{-7}{3}-
\frac{5}{6}-\frac{8}{3}\\=\frac{-14}{6}-\frac{5}{6}-\frac{16}{6}\\=\frac{-14-5-16}{6}\\=\frac{-35}{6}\)
- \(-\left(\frac{8}{-5}\right)
+\left(\frac{5}{3}\right)
-\left(\frac{-12}{4}\right)\\= \frac{8}{5}+
\frac{5}{3}+\frac{12}{4}\\=\frac{8}{5}+\frac{5}{3}+\frac{3}{1}\\=\frac{24}{15}+\frac{25}{15}+\frac{45}{15}\\=\frac{24+25+45}{15}\\=\frac{94}{15}\)