Bereken
- \(-\left(\frac{4}{-3}\right)
-\left(\frac{-3}{-4}\right)
-\left(\frac{-3}{-10}\right)\)
- \(+\left(\frac{-5}{-2}\right)
+\left(\frac{6}{10}\right)
-\left(\frac{-5}{-12}\right)\)
- \(-\left(\frac{2}{-3}\right)
-\left(\frac{-3}{-2}\right)
-\left(\frac{-7}{7}\right)\)
- \(-\left(\frac{9}{5}\right)
+\left(\frac{8}{2}\right)
+\left(\frac{-3}{-5}\right)\)
- \(+\left(\frac{8}{7}\right)
+\left(\frac{2}{-3}\right)
-\left(\frac{11}{-9}\right)\)
- \(+\left(\frac{-4}{-5}\right)
-\left(\frac{10}{-4}\right)
+\left(\frac{-9}{-11}\right)\)
- \(-\left(\frac{8}{7}\right)
-\left(\frac{3}{-10}\right)
-\left(\frac{-9}{10}\right)\)
- \(+\left(\frac{-10}{3}\right)
+\left(\frac{6}{5}\right)
-\left(\frac{11}{-10}\right)\)
- \(+\left(\frac{-10}{3}\right)
+\left(\frac{-10}{8}\right)
+\left(\frac{-4}{3}\right)\)
- \(-\left(\frac{-4}{5}\right)
-\left(\frac{-3}{4}\right)
-\left(\frac{-2}{8}\right)\)
- \(+\left(\frac{9}{-4}\right)
-\left(\frac{9}{-7}\right)
-\left(\frac{-10}{-8}\right)\)
- \(+\left(\frac{2}{5}\right)
-\left(\frac{7}{-3}\right)
+\left(\frac{-7}{8}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{4}{-3}\right)
-\left(\frac{-3}{-4}\right)
-\left(\frac{-3}{-10}\right)\\= \frac{4}{3}-
\frac{3}{4}-\frac{3}{10}\\=\frac{80}{60}-\frac{45}{60}-\frac{18}{60}\\=\frac{80-45-18}{60}\\=\frac{17}{60}\)
- \(+\left(\frac{-5}{-2}\right)
+\left(\frac{6}{10}\right)
-\left(\frac{-5}{-12}\right)\\= \frac{5}{2}+
\frac{6}{10}-\frac{5}{12}\\=\frac{5}{2}+\frac{3}{5}-\frac{5}{12}\\=\frac{150}{60}+\frac{36}{60}-\frac{25}{60}\\=\frac{150+36-25}{60}\\=\frac{161}{60}\)
- \(-\left(\frac{2}{-3}\right)
-\left(\frac{-3}{-2}\right)
-\left(\frac{-7}{7}\right)\\= \frac{2}{3}-
\frac{3}{2}+\frac{7}{7}\\=\frac{2}{3}-\frac{3}{2}+\frac{1}{1}\\=\frac{4}{6}-\frac{9}{6}+\frac{6}{6}\\=\frac{4-9+6}{6}\\=\frac{1}{6}\)
- \(-\left(\frac{9}{5}\right)
+\left(\frac{8}{2}\right)
+\left(\frac{-3}{-5}\right)\\= \frac{-9}{5}+
\frac{8}{2}+\frac{3}{5}\\=\frac{-9}{5}+\frac{4}{1}+\frac{3}{5}\\=\frac{-9+4+3}{5}\\=\frac{-2}{5}\)
- \(+\left(\frac{8}{7}\right)
+\left(\frac{2}{-3}\right)
-\left(\frac{11}{-9}\right)\\= \frac{8}{7}-
\frac{2}{3}+\frac{11}{9}\\=\frac{72}{63}-\frac{42}{63}+\frac{77}{63}\\=\frac{72-42+77}{63}\\=\frac{107}{63}\)
- \(+\left(\frac{-4}{-5}\right)
-\left(\frac{10}{-4}\right)
+\left(\frac{-9}{-11}\right)\\= \frac{4}{5}+
\frac{10}{4}+\frac{9}{11}\\=\frac{4}{5}+\frac{5}{2}+\frac{9}{11}\\=\frac{88}{110}+\frac{275}{110}+\frac{90}{110}\\=\frac{88+275+90}{110}\\=\frac{453}{110}\)
- \(-\left(\frac{8}{7}\right)
-\left(\frac{3}{-10}\right)
-\left(\frac{-9}{10}\right)\\= \frac{-8}{7}+
\frac{3}{10}+\frac{9}{10}\\=\frac{-80}{70}+\frac{21}{70}+\frac{63}{70}\\=\frac{-80+21+63}{70}\\=\frac{4}{70}\\=\frac{2}{35}\)
- \(+\left(\frac{-10}{3}\right)
+\left(\frac{6}{5}\right)
-\left(\frac{11}{-10}\right)\\= \frac{-10}{3}+
\frac{6}{5}+\frac{11}{10}\\=\frac{-100}{30}+\frac{36}{30}+\frac{33}{30}\\=\frac{-100+36+33}{30}\\=\frac{-31}{30}\)
- \(+\left(\frac{-10}{3}\right)
+\left(\frac{-10}{8}\right)
+\left(\frac{-4}{3}\right)\\= \frac{-10}{3}-
\frac{10}{8}-\frac{4}{3}\\=\frac{-10}{3}-\frac{5}{4}-\frac{4}{3}\\=\frac{-40}{12}-\frac{15}{12}-\frac{16}{12}\\=\frac{-40-15-16}{12}\\=\frac{-71}{12}\)
- \(-\left(\frac{-4}{5}\right)
-\left(\frac{-3}{4}\right)
-\left(\frac{-2}{8}\right)\\= \frac{4}{5}+
\frac{3}{4}+\frac{2}{8}\\=\frac{4}{5}+\frac{3}{4}+\frac{1}{4}\\=\frac{16}{20}+\frac{15}{20}+\frac{5}{20}\\=\frac{16+15+5}{20}\\=\frac{36}{20}\\=\frac{9}{5}\)
- \(+\left(\frac{9}{-4}\right)
-\left(\frac{9}{-7}\right)
-\left(\frac{-10}{-8}\right)\\= \frac{-9}{4}+
\frac{9}{7}-\frac{10}{8}\\=\frac{-9}{4}+\frac{9}{7}-\frac{5}{4}\\=\frac{-63}{28}+\frac{36}{28}-\frac{35}{28}\\=\frac{-63+36-35}{28}\\=\frac{-62}{28}\\=\frac{-31}{14}\)
- \(+\left(\frac{2}{5}\right)
-\left(\frac{7}{-3}\right)
+\left(\frac{-7}{8}\right)\\= \frac{2}{5}+
\frac{7}{3}-\frac{7}{8}\\=\frac{48}{120}+\frac{280}{120}-\frac{105}{120}\\=\frac{48+280-105}{120}\\=\frac{223}{120}\)