Bereken
- \(+\left(\frac{4}{9}\right)
-\left(\frac{3}{10}\right)
+\left(\frac{8}{-7}\right)\)
- \(+\left(\frac{-8}{-9}\right)
+\left(\frac{3}{-9}\right)
+\left(\frac{-4}{-6}\right)\)
- \(-\left(\frac{6}{-5}\right)
+\left(\frac{-9}{4}\right)
-\left(\frac{6}{3}\right)\)
- \(-\left(\frac{-7}{-6}\right)
-\left(\frac{4}{4}\right)
+\left(\frac{-11}{-8}\right)\)
- \(-\left(\frac{5}{8}\right)
+\left(\frac{6}{-10}\right)
-\left(\frac{12}{-3}\right)\)
- \(+\left(\frac{6}{5}\right)
-\left(\frac{4}{-2}\right)
+\left(\frac{-9}{-3}\right)\)
- \(+\left(\frac{9}{2}\right)
+\left(\frac{10}{-7}\right)
+\left(\frac{6}{3}\right)\)
- \(-\left(\frac{-10}{-7}\right)
-\left(\frac{4}{2}\right)
+\left(\frac{6}{-6}\right)\)
- \(-\left(\frac{9}{7}\right)
+\left(\frac{7}{-8}\right)
-\left(\frac{12}{-11}\right)\)
- \(-\left(\frac{-7}{8}\right)
-\left(\frac{-8}{-9}\right)
-\left(\frac{11}{11}\right)\)
- \(-\left(\frac{-6}{-5}\right)
+\left(\frac{9}{5}\right)
+\left(\frac{-9}{7}\right)\)
- \(-\left(\frac{2}{5}\right)
+\left(\frac{4}{10}\right)
-\left(\frac{10}{2}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{4}{9}\right)
-\left(\frac{3}{10}\right)
+\left(\frac{8}{-7}\right)\\= \frac{4}{9}-
\frac{3}{10}-\frac{8}{7}\\=\frac{280}{630}-\frac{189}{630}-\frac{720}{630}\\=\frac{280-189-720}{630}\\=\frac{-629}{630}\)
- \(+\left(\frac{-8}{-9}\right)
+\left(\frac{3}{-9}\right)
+\left(\frac{-4}{-6}\right)\\= \frac{8}{9}-
\frac{3}{9}+\frac{4}{6}\\=\frac{8}{9}-\frac{1}{3}+\frac{2}{3}\\=\frac{8-1+2}{9}\\=\frac{9}{9}\\=\frac{1}{1}\)
- \(-\left(\frac{6}{-5}\right)
+\left(\frac{-9}{4}\right)
-\left(\frac{6}{3}\right)\\= \frac{6}{5}-
\frac{9}{4}-\frac{6}{3}\\=\frac{6}{5}-\frac{9}{4}-\frac{2}{1}\\=\frac{24}{20}-\frac{45}{20}-\frac{40}{20}\\=\frac{24-45-40}{20}\\=\frac{-61}{20}\)
- \(-\left(\frac{-7}{-6}\right)
-\left(\frac{4}{4}\right)
+\left(\frac{-11}{-8}\right)\\= \frac{-7}{6}-
\frac{4}{4}+\frac{11}{8}\\=\frac{-7}{6}-\frac{1}{1}+\frac{11}{8}\\=\frac{-28}{24}-\frac{24}{24}+\frac{33}{24}\\=\frac{-28-24+33}{24}\\=\frac{-19}{24}\)
- \(-\left(\frac{5}{8}\right)
+\left(\frac{6}{-10}\right)
-\left(\frac{12}{-3}\right)\\= \frac{-5}{8}-
\frac{6}{10}+\frac{12}{3}\\=\frac{-5}{8}-\frac{3}{5}+\frac{4}{1}\\=\frac{-25}{40}-\frac{24}{40}+\frac{160}{40}\\=\frac{-25-24+160}{40}\\=\frac{111}{40}\)
- \(+\left(\frac{6}{5}\right)
-\left(\frac{4}{-2}\right)
+\left(\frac{-9}{-3}\right)\\= \frac{6}{5}+
\frac{4}{2}+\frac{9}{3}\\=\frac{6}{5}+\frac{2}{1}+\frac{3}{1}\\=\frac{6+2+3}{5}\\=\frac{11}{5}\)
- \(+\left(\frac{9}{2}\right)
+\left(\frac{10}{-7}\right)
+\left(\frac{6}{3}\right)\\= \frac{9}{2}-
\frac{10}{7}+\frac{6}{3}\\=\frac{9}{2}-\frac{10}{7}+\frac{2}{1}\\=\frac{63}{14}-\frac{20}{14}+\frac{28}{14}\\=\frac{63-20+28}{14}\\=\frac{71}{14}\)
- \(-\left(\frac{-10}{-7}\right)
-\left(\frac{4}{2}\right)
+\left(\frac{6}{-6}\right)\\= \frac{-10}{7}-
\frac{4}{2}-\frac{6}{6}\\=\frac{-10}{7}-\frac{2}{1}-\frac{1}{1}\\=\frac{-10-2-1}{7}\\=\frac{-13}{7}\)
- \(-\left(\frac{9}{7}\right)
+\left(\frac{7}{-8}\right)
-\left(\frac{12}{-11}\right)\\= \frac{-9}{7}-
\frac{7}{8}+\frac{12}{11}\\=\frac{-792}{616}-\frac{539}{616}+\frac{672}{616}\\=\frac{-792-539+672}{616}\\=\frac{-659}{616}\)
- \(-\left(\frac{-7}{8}\right)
-\left(\frac{-8}{-9}\right)
-\left(\frac{11}{11}\right)\\= \frac{7}{8}-
\frac{8}{9}-\frac{11}{11}\\=\frac{7}{8}-\frac{8}{9}-\frac{1}{1}\\=\frac{63}{72}-\frac{64}{72}-\frac{72}{72}\\=\frac{63-64-72}{72}\\=\frac{-73}{72}\)
- \(-\left(\frac{-6}{-5}\right)
+\left(\frac{9}{5}\right)
+\left(\frac{-9}{7}\right)\\= \frac{-6}{5}+
\frac{9}{5}-\frac{9}{7}\\=\frac{-42}{35}+\frac{63}{35}-\frac{45}{35}\\=\frac{-42+63-45}{35}\\=\frac{-24}{35}\)
- \(-\left(\frac{2}{5}\right)
+\left(\frac{4}{10}\right)
-\left(\frac{10}{2}\right)\\= \frac{-2}{5}+
\frac{4}{10}-\frac{10}{2}\\=\frac{-2}{5}+\frac{2}{5}-\frac{5}{1}\\=\frac{-2+2-5}{5}\\=\frac{-5}{5}\\=\frac{-1}{1}\)