Bereken
- \(+\left(\frac{8}{5}\right)
-\left(\frac{-3}{2}\right)
-\left(\frac{7}{9}\right)\)
- \(-\left(\frac{-9}{7}\right)
+\left(\frac{-8}{-10}\right)
-\left(\frac{9}{-7}\right)\)
- \(+\left(\frac{4}{7}\right)
+\left(\frac{-10}{-2}\right)
-\left(\frac{11}{11}\right)\)
- \(-\left(\frac{-6}{5}\right)
-\left(\frac{-2}{-2}\right)
+\left(\frac{11}{12}\right)\)
- \(-\left(\frac{-5}{-8}\right)
-\left(\frac{7}{3}\right)
+\left(\frac{5}{8}\right)\)
- \(+\left(\frac{-4}{-3}\right)
+\left(\frac{-7}{4}\right)
+\left(\frac{-4}{2}\right)\)
- \(-\left(\frac{-2}{-7}\right)
-\left(\frac{-5}{10}\right)
+\left(\frac{-8}{-8}\right)\)
- \(-\left(\frac{-5}{6}\right)
+\left(\frac{-7}{5}\right)
+\left(\frac{10}{9}\right)\)
- \(-\left(\frac{-2}{5}\right)
+\left(\frac{-6}{5}\right)
-\left(\frac{9}{6}\right)\)
- \(+\left(\frac{-5}{-4}\right)
+\left(\frac{10}{-8}\right)
-\left(\frac{6}{3}\right)\)
- \(+\left(\frac{9}{-7}\right)
-\left(\frac{-4}{-5}\right)
-\left(\frac{8}{-9}\right)\)
- \(+\left(\frac{-9}{-2}\right)
+\left(\frac{-8}{-2}\right)
+\left(\frac{9}{10}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{8}{5}\right)
-\left(\frac{-3}{2}\right)
-\left(\frac{7}{9}\right)\\= \frac{8}{5}+
\frac{3}{2}-\frac{7}{9}\\=\frac{144}{90}+\frac{135}{90}-\frac{70}{90}\\=\frac{144+135-70}{90}\\=\frac{209}{90}\)
- \(-\left(\frac{-9}{7}\right)
+\left(\frac{-8}{-10}\right)
-\left(\frac{9}{-7}\right)\\= \frac{9}{7}+
\frac{8}{10}+\frac{9}{7}\\=\frac{9}{7}+\frac{4}{5}+\frac{9}{7}\\=\frac{45}{35}+\frac{28}{35}+\frac{45}{35}\\=\frac{45+28+45}{35}\\=\frac{118}{35}\)
- \(+\left(\frac{4}{7}\right)
+\left(\frac{-10}{-2}\right)
-\left(\frac{11}{11}\right)\\= \frac{4}{7}+
\frac{10}{2}-\frac{11}{11}\\=\frac{4}{7}+\frac{5}{1}-\frac{1}{1}\\=\frac{4+5-1}{7}\\=\frac{8}{7}\)
- \(-\left(\frac{-6}{5}\right)
-\left(\frac{-2}{-2}\right)
+\left(\frac{11}{12}\right)\\= \frac{6}{5}-
\frac{2}{2}+\frac{11}{12}\\=\frac{6}{5}-\frac{1}{1}+\frac{11}{12}\\=\frac{72}{60}-\frac{60}{60}+\frac{55}{60}\\=\frac{72-60+55}{60}\\=\frac{67}{60}\)
- \(-\left(\frac{-5}{-8}\right)
-\left(\frac{7}{3}\right)
+\left(\frac{5}{8}\right)\\= \frac{-5}{8}-
\frac{7}{3}+\frac{5}{8}\\=\frac{-15}{24}-\frac{56}{24}+\frac{15}{24}\\=\frac{-15-56+15}{24}\\=\frac{-56}{24}\\=\frac{-7}{3}\)
- \(+\left(\frac{-4}{-3}\right)
+\left(\frac{-7}{4}\right)
+\left(\frac{-4}{2}\right)\\= \frac{4}{3}-
\frac{7}{4}-\frac{4}{2}\\=\frac{4}{3}-\frac{7}{4}-\frac{2}{1}\\=\frac{16}{12}-\frac{21}{12}-\frac{24}{12}\\=\frac{16-21-24}{12}\\=\frac{-29}{12}\)
- \(-\left(\frac{-2}{-7}\right)
-\left(\frac{-5}{10}\right)
+\left(\frac{-8}{-8}\right)\\= \frac{-2}{7}+
\frac{5}{10}+\frac{8}{8}\\=\frac{-2}{7}+\frac{1}{2}+\frac{1}{1}\\=\frac{-4}{14}+\frac{7}{14}+\frac{14}{14}\\=\frac{-4+7+14}{14}\\=\frac{17}{14}\)
- \(-\left(\frac{-5}{6}\right)
+\left(\frac{-7}{5}\right)
+\left(\frac{10}{9}\right)\\= \frac{5}{6}-
\frac{7}{5}+\frac{10}{9}\\=\frac{75}{90}-\frac{126}{90}+\frac{100}{90}\\=\frac{75-126+100}{90}\\=\frac{49}{90}\)
- \(-\left(\frac{-2}{5}\right)
+\left(\frac{-6}{5}\right)
-\left(\frac{9}{6}\right)\\= \frac{2}{5}-
\frac{6}{5}-\frac{9}{6}\\=\frac{2}{5}-\frac{6}{5}-\frac{3}{2}\\=\frac{4}{10}-\frac{12}{10}-\frac{15}{10}\\=\frac{4-12-15}{10}\\=\frac{-23}{10}\)
- \(+\left(\frac{-5}{-4}\right)
+\left(\frac{10}{-8}\right)
-\left(\frac{6}{3}\right)\\= \frac{5}{4}-
\frac{10}{8}-\frac{6}{3}\\=\frac{5}{4}-\frac{5}{4}-\frac{2}{1}\\=\frac{5-5-2}{4}\\=\frac{-2}{4}\\=\frac{-1}{2}\)
- \(+\left(\frac{9}{-7}\right)
-\left(\frac{-4}{-5}\right)
-\left(\frac{8}{-9}\right)\\= \frac{-9}{7}-
\frac{4}{5}+\frac{8}{9}\\=\frac{-405}{315}-\frac{252}{315}+\frac{280}{315}\\=\frac{-405-252+280}{315}\\=\frac{-377}{315}\)
- \(+\left(\frac{-9}{-2}\right)
+\left(\frac{-8}{-2}\right)
+\left(\frac{9}{10}\right)\\= \frac{9}{2}+
\frac{8}{2}+\frac{9}{10}\\=\frac{9}{2}+\frac{4}{1}+\frac{9}{10}\\=\frac{45}{10}+\frac{40}{10}+\frac{9}{10}\\=\frac{45+40+9}{10}\\=\frac{94}{10}\\=\frac{47}{5}\)