Bereken
- \(+\left(\frac{5}{-6}\right)
+\left(\frac{4}{-9}\right)
+\left(\frac{-3}{2}\right)\)
- \(+\left(\frac{4}{5}\right)
+\left(\frac{7}{9}\right)
+\left(\frac{-2}{-7}\right)\)
- \(-\left(\frac{10}{7}\right)
+\left(\frac{3}{3}\right)
-\left(\frac{-6}{2}\right)\)
- \(-\left(\frac{-9}{2}\right)
-\left(\frac{-5}{9}\right)
+\left(\frac{4}{-5}\right)\)
- \(+\left(\frac{-2}{-7}\right)
-\left(\frac{-2}{-2}\right)
-\left(\frac{-5}{6}\right)\)
- \(-\left(\frac{-4}{-5}\right)
+\left(\frac{7}{6}\right)
+\left(\frac{-10}{-10}\right)\)
- \(-\left(\frac{-10}{-3}\right)
+\left(\frac{3}{-8}\right)
-\left(\frac{3}{9}\right)\)
- \(-\left(\frac{-4}{-5}\right)
+\left(\frac{2}{10}\right)
-\left(\frac{-4}{11}\right)\)
- \(-\left(\frac{8}{3}\right)
+\left(\frac{6}{-3}\right)
-\left(\frac{-12}{-7}\right)\)
- \(+\left(\frac{-6}{5}\right)
+\left(\frac{7}{2}\right)
+\left(\frac{4}{-11}\right)\)
- \(-\left(\frac{8}{7}\right)
+\left(\frac{3}{-3}\right)
+\left(\frac{-7}{7}\right)\)
- \(+\left(\frac{-8}{5}\right)
+\left(\frac{-6}{2}\right)
+\left(\frac{11}{5}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{5}{-6}\right)
+\left(\frac{4}{-9}\right)
+\left(\frac{-3}{2}\right)\\= \frac{-5}{6}-
\frac{4}{9}-\frac{3}{2}\\=\frac{-15}{18}-\frac{8}{18}-\frac{27}{18}\\=\frac{-15-8-27}{18}\\=\frac{-50}{18}\\=\frac{-25}{9}\)
- \(+\left(\frac{4}{5}\right)
+\left(\frac{7}{9}\right)
+\left(\frac{-2}{-7}\right)\\= \frac{4}{5}+
\frac{7}{9}+\frac{2}{7}\\=\frac{252}{315}+\frac{245}{315}+\frac{90}{315}\\=\frac{252+245+90}{315}\\=\frac{587}{315}\)
- \(-\left(\frac{10}{7}\right)
+\left(\frac{3}{3}\right)
-\left(\frac{-6}{2}\right)\\= \frac{-10}{7}+
\frac{3}{3}+\frac{6}{2}\\=\frac{-10}{7}+\frac{1}{1}+\frac{3}{1}\\=\frac{-10+1+3}{7}\\=\frac{-6}{7}\)
- \(-\left(\frac{-9}{2}\right)
-\left(\frac{-5}{9}\right)
+\left(\frac{4}{-5}\right)\\= \frac{9}{2}+
\frac{5}{9}-\frac{4}{5}\\=\frac{405}{90}+\frac{50}{90}-\frac{72}{90}\\=\frac{405+50-72}{90}\\=\frac{383}{90}\)
- \(+\left(\frac{-2}{-7}\right)
-\left(\frac{-2}{-2}\right)
-\left(\frac{-5}{6}\right)\\= \frac{2}{7}-
\frac{2}{2}+\frac{5}{6}\\=\frac{2}{7}-\frac{1}{1}+\frac{5}{6}\\=\frac{12}{42}-\frac{42}{42}+\frac{35}{42}\\=\frac{12-42+35}{42}\\=\frac{5}{42}\)
- \(-\left(\frac{-4}{-5}\right)
+\left(\frac{7}{6}\right)
+\left(\frac{-10}{-10}\right)\\= \frac{-4}{5}+
\frac{7}{6}+\frac{10}{10}\\=\frac{-4}{5}+\frac{7}{6}+\frac{1}{1}\\=\frac{-24}{30}+\frac{35}{30}+\frac{30}{30}\\=\frac{-24+35+30}{30}\\=\frac{41}{30}\)
- \(-\left(\frac{-10}{-3}\right)
+\left(\frac{3}{-8}\right)
-\left(\frac{3}{9}\right)\\= \frac{-10}{3}-
\frac{3}{8}-\frac{3}{9}\\=\frac{-10}{3}-\frac{3}{8}-\frac{1}{3}\\=\frac{-80}{24}-\frac{9}{24}-\frac{8}{24}\\=\frac{-80-9-8}{24}\\=\frac{-97}{24}\)
- \(-\left(\frac{-4}{-5}\right)
+\left(\frac{2}{10}\right)
-\left(\frac{-4}{11}\right)\\= \frac{-4}{5}+
\frac{2}{10}+\frac{4}{11}\\=\frac{-4}{5}+\frac{1}{5}+\frac{4}{11}\\=\frac{-44}{55}+\frac{11}{55}+\frac{20}{55}\\=\frac{-44+11+20}{55}\\=\frac{-13}{55}\)
- \(-\left(\frac{8}{3}\right)
+\left(\frac{6}{-3}\right)
-\left(\frac{-12}{-7}\right)\\= \frac{-8}{3}-
\frac{6}{3}-\frac{12}{7}\\=\frac{-8}{3}-\frac{2}{1}-\frac{12}{7}\\=\frac{-56}{21}-\frac{42}{21}-\frac{36}{21}\\=\frac{-56-42-36}{21}\\=\frac{-134}{21}\)
- \(+\left(\frac{-6}{5}\right)
+\left(\frac{7}{2}\right)
+\left(\frac{4}{-11}\right)\\= \frac{-6}{5}+
\frac{7}{2}-\frac{4}{11}\\=\frac{-132}{110}+\frac{385}{110}-\frac{40}{110}\\=\frac{-132+385-40}{110}\\=\frac{213}{110}\)
- \(-\left(\frac{8}{7}\right)
+\left(\frac{3}{-3}\right)
+\left(\frac{-7}{7}\right)\\= \frac{-8}{7}-
\frac{3}{3}-\frac{7}{7}\\=\frac{-8}{7}-\frac{1}{1}-\frac{1}{1}\\=\frac{-8-1-1}{7}\\=\frac{-10}{7}\)
- \(+\left(\frac{-8}{5}\right)
+\left(\frac{-6}{2}\right)
+\left(\frac{11}{5}\right)\\= \frac{-8}{5}-
\frac{6}{2}+\frac{11}{5}\\=\frac{-8}{5}-\frac{3}{1}+\frac{11}{5}\\=\frac{-8-3+11}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)