Bereken
- \(+\left(\frac{-8}{7}\right)
+\left(\frac{9}{-8}\right)
-\left(\frac{-10}{-5}\right)\)
- \(+\left(\frac{3}{-4}\right)
-\left(\frac{7}{5}\right)
+\left(\frac{4}{2}\right)\)
- \(-\left(\frac{9}{5}\right)
-\left(\frac{-6}{3}\right)
-\left(\frac{3}{-11}\right)\)
- \(-\left(\frac{-9}{-8}\right)
+\left(\frac{-9}{-9}\right)
+\left(\frac{2}{5}\right)\)
- \(-\left(\frac{9}{7}\right)
-\left(\frac{-6}{-4}\right)
-\left(\frac{9}{-10}\right)\)
- \(-\left(\frac{7}{-2}\right)
-\left(\frac{8}{-8}\right)
+\left(\frac{-5}{7}\right)\)
- \(-\left(\frac{2}{-9}\right)
-\left(\frac{6}{-9}\right)
-\left(\frac{-8}{-6}\right)\)
- \(-\left(\frac{10}{-3}\right)
-\left(\frac{4}{-9}\right)
+\left(\frac{4}{-11}\right)\)
- \(+\left(\frac{7}{8}\right)
+\left(\frac{8}{7}\right)
-\left(\frac{8}{5}\right)\)
- \(-\left(\frac{-6}{-5}\right)
-\left(\frac{-7}{-3}\right)
-\left(\frac{3}{-2}\right)\)
- \(+\left(\frac{8}{-9}\right)
-\left(\frac{8}{5}\right)
+\left(\frac{-9}{-3}\right)\)
- \(+\left(\frac{-3}{-2}\right)
-\left(\frac{8}{2}\right)
+\left(\frac{-3}{-6}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{-8}{7}\right)
+\left(\frac{9}{-8}\right)
-\left(\frac{-10}{-5}\right)\\= \frac{-8}{7}-
\frac{9}{8}-\frac{10}{5}\\=\frac{-8}{7}-\frac{9}{8}-\frac{2}{1}\\=\frac{-64}{56}-\frac{63}{56}-\frac{112}{56}\\=\frac{-64-63-112}{56}\\=\frac{-239}{56}\)
- \(+\left(\frac{3}{-4}\right)
-\left(\frac{7}{5}\right)
+\left(\frac{4}{2}\right)\\= \frac{-3}{4}-
\frac{7}{5}+\frac{4}{2}\\=\frac{-3}{4}-\frac{7}{5}+\frac{2}{1}\\=\frac{-15}{20}-\frac{28}{20}+\frac{40}{20}\\=\frac{-15-28+40}{20}\\=\frac{-3}{20}\)
- \(-\left(\frac{9}{5}\right)
-\left(\frac{-6}{3}\right)
-\left(\frac{3}{-11}\right)\\= \frac{-9}{5}+
\frac{6}{3}+\frac{3}{11}\\=\frac{-9}{5}+\frac{2}{1}+\frac{3}{11}\\=\frac{-99}{55}+\frac{110}{55}+\frac{15}{55}\\=\frac{-99+110+15}{55}\\=\frac{26}{55}\)
- \(-\left(\frac{-9}{-8}\right)
+\left(\frac{-9}{-9}\right)
+\left(\frac{2}{5}\right)\\= \frac{-9}{8}+
\frac{9}{9}+\frac{2}{5}\\=\frac{-9}{8}+\frac{1}{1}+\frac{2}{5}\\=\frac{-45}{40}+\frac{40}{40}+\frac{16}{40}\\=\frac{-45+40+16}{40}\\=\frac{11}{40}\)
- \(-\left(\frac{9}{7}\right)
-\left(\frac{-6}{-4}\right)
-\left(\frac{9}{-10}\right)\\= \frac{-9}{7}-
\frac{6}{4}+\frac{9}{10}\\=\frac{-9}{7}-\frac{3}{2}+\frac{9}{10}\\=\frac{-90}{70}-\frac{105}{70}+\frac{63}{70}\\=\frac{-90-105+63}{70}\\=\frac{-132}{70}\\=\frac{-66}{35}\)
- \(-\left(\frac{7}{-2}\right)
-\left(\frac{8}{-8}\right)
+\left(\frac{-5}{7}\right)\\= \frac{7}{2}+
\frac{8}{8}-\frac{5}{7}\\=\frac{7}{2}+\frac{1}{1}-\frac{5}{7}\\=\frac{49}{14}+\frac{14}{14}-\frac{10}{14}\\=\frac{49+14-10}{14}\\=\frac{53}{14}\)
- \(-\left(\frac{2}{-9}\right)
-\left(\frac{6}{-9}\right)
-\left(\frac{-8}{-6}\right)\\= \frac{2}{9}+
\frac{6}{9}-\frac{8}{6}\\=\frac{2}{9}+\frac{2}{3}-\frac{4}{3}\\=\frac{2+2-4}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
- \(-\left(\frac{10}{-3}\right)
-\left(\frac{4}{-9}\right)
+\left(\frac{4}{-11}\right)\\= \frac{10}{3}+
\frac{4}{9}-\frac{4}{11}\\=\frac{330}{99}+\frac{44}{99}-\frac{36}{99}\\=\frac{330+44-36}{99}\\=\frac{338}{99}\)
- \(+\left(\frac{7}{8}\right)
+\left(\frac{8}{7}\right)
-\left(\frac{8}{5}\right)\\= \frac{7}{8}+
\frac{8}{7}-\frac{8}{5}\\=\frac{245}{280}+\frac{320}{280}-\frac{448}{280}\\=\frac{245+320-448}{280}\\=\frac{117}{280}\)
- \(-\left(\frac{-6}{-5}\right)
-\left(\frac{-7}{-3}\right)
-\left(\frac{3}{-2}\right)\\= \frac{-6}{5}-
\frac{7}{3}+\frac{3}{2}\\=\frac{-36}{30}-\frac{70}{30}+\frac{45}{30}\\=\frac{-36-70+45}{30}\\=\frac{-61}{30}\)
- \(+\left(\frac{8}{-9}\right)
-\left(\frac{8}{5}\right)
+\left(\frac{-9}{-3}\right)\\= \frac{-8}{9}-
\frac{8}{5}+\frac{9}{3}\\=\frac{-8}{9}-\frac{8}{5}+\frac{3}{1}\\=\frac{-40}{45}-\frac{72}{45}+\frac{135}{45}\\=\frac{-40-72+135}{45}\\=\frac{23}{45}\)
- \(+\left(\frac{-3}{-2}\right)
-\left(\frac{8}{2}\right)
+\left(\frac{-3}{-6}\right)\\= \frac{3}{2}-
\frac{8}{2}+\frac{3}{6}\\=\frac{3}{2}-\frac{4}{1}+\frac{1}{2}\\=\frac{3-4+1}{2}\\=\frac{0}{2}\\=\frac{0}{1}\)