Bereken
- \(+\left(\frac{4}{-3}\right)
+\left(\frac{-9}{2}\right)
-\left(\frac{-9}{5}\right)\)
- \(+\left(\frac{2}{9}\right)
+\left(\frac{-8}{-5}\right)
-\left(\frac{5}{-2}\right)\)
- \(-\left(\frac{9}{2}\right)
+\left(\frac{4}{4}\right)
+\left(\frac{9}{-3}\right)\)
- \(-\left(\frac{6}{5}\right)
-\left(\frac{3}{8}\right)
+\left(\frac{10}{10}\right)\)
- \(+\left(\frac{-9}{-4}\right)
+\left(\frac{-2}{4}\right)
-\left(\frac{-11}{5}\right)\)
- \(-\left(\frac{-2}{7}\right)
-\left(\frac{-10}{-10}\right)
+\left(\frac{-11}{5}\right)\)
- \(-\left(\frac{5}{-8}\right)
-\left(\frac{5}{6}\right)
+\left(\frac{3}{3}\right)\)
- \(-\left(\frac{-5}{2}\right)
+\left(\frac{-2}{2}\right)
+\left(\frac{8}{-3}\right)\)
- \(-\left(\frac{6}{-7}\right)
-\left(\frac{-6}{-10}\right)
+\left(\frac{12}{9}\right)\)
- \(+\left(\frac{6}{5}\right)
+\left(\frac{2}{2}\right)
+\left(\frac{12}{-10}\right)\)
- \(-\left(\frac{-10}{7}\right)
-\left(\frac{-2}{-8}\right)
-\left(\frac{5}{-7}\right)\)
- \(-\left(\frac{2}{5}\right)
+\left(\frac{-7}{6}\right)
-\left(\frac{-10}{-5}\right)\)
Bereken
Verbetersleutel
- \(+\left(\frac{4}{-3}\right)
+\left(\frac{-9}{2}\right)
-\left(\frac{-9}{5}\right)\\= \frac{-4}{3}-
\frac{9}{2}+\frac{9}{5}\\=\frac{-40}{30}-\frac{135}{30}+\frac{54}{30}\\=\frac{-40-135+54}{30}\\=\frac{-121}{30}\)
- \(+\left(\frac{2}{9}\right)
+\left(\frac{-8}{-5}\right)
-\left(\frac{5}{-2}\right)\\= \frac{2}{9}+
\frac{8}{5}+\frac{5}{2}\\=\frac{20}{90}+\frac{144}{90}+\frac{225}{90}\\=\frac{20+144+225}{90}\\=\frac{389}{90}\)
- \(-\left(\frac{9}{2}\right)
+\left(\frac{4}{4}\right)
+\left(\frac{9}{-3}\right)\\= \frac{-9}{2}+
\frac{4}{4}-\frac{9}{3}\\=\frac{-9}{2}+\frac{1}{1}-\frac{3}{1}\\=\frac{-9+1-3}{2}\\=\frac{-11}{2}\)
- \(-\left(\frac{6}{5}\right)
-\left(\frac{3}{8}\right)
+\left(\frac{10}{10}\right)\\= \frac{-6}{5}-
\frac{3}{8}+\frac{10}{10}\\=\frac{-6}{5}-\frac{3}{8}+\frac{1}{1}\\=\frac{-48}{40}-\frac{15}{40}+\frac{40}{40}\\=\frac{-48-15+40}{40}\\=\frac{-23}{40}\)
- \(+\left(\frac{-9}{-4}\right)
+\left(\frac{-2}{4}\right)
-\left(\frac{-11}{5}\right)\\= \frac{9}{4}-
\frac{2}{4}+\frac{11}{5}\\=\frac{9}{4}-\frac{1}{2}+\frac{11}{5}\\=\frac{45}{20}-\frac{10}{20}+\frac{44}{20}\\=\frac{45-10+44}{20}\\=\frac{79}{20}\)
- \(-\left(\frac{-2}{7}\right)
-\left(\frac{-10}{-10}\right)
+\left(\frac{-11}{5}\right)\\= \frac{2}{7}-
\frac{10}{10}-\frac{11}{5}\\=\frac{2}{7}-\frac{1}{1}-\frac{11}{5}\\=\frac{10}{35}-\frac{35}{35}-\frac{77}{35}\\=\frac{10-35-77}{35}\\=\frac{-102}{35}\)
- \(-\left(\frac{5}{-8}\right)
-\left(\frac{5}{6}\right)
+\left(\frac{3}{3}\right)\\= \frac{5}{8}-
\frac{5}{6}+\frac{3}{3}\\=\frac{5}{8}-\frac{5}{6}+\frac{1}{1}\\=\frac{15}{24}-\frac{20}{24}+\frac{24}{24}\\=\frac{15-20+24}{24}\\=\frac{19}{24}\)
- \(-\left(\frac{-5}{2}\right)
+\left(\frac{-2}{2}\right)
+\left(\frac{8}{-3}\right)\\= \frac{5}{2}-
\frac{2}{2}-\frac{8}{3}\\=\frac{5}{2}-\frac{1}{1}-\frac{8}{3}\\=\frac{15}{6}-\frac{6}{6}-\frac{16}{6}\\=\frac{15-6-16}{6}\\=\frac{-7}{6}\)
- \(-\left(\frac{6}{-7}\right)
-\left(\frac{-6}{-10}\right)
+\left(\frac{12}{9}\right)\\= \frac{6}{7}-
\frac{6}{10}+\frac{12}{9}\\=\frac{6}{7}-\frac{3}{5}+\frac{4}{3}\\=\frac{90}{105}-\frac{63}{105}+\frac{140}{105}\\=\frac{90-63+140}{105}\\=\frac{167}{105}\)
- \(+\left(\frac{6}{5}\right)
+\left(\frac{2}{2}\right)
+\left(\frac{12}{-10}\right)\\= \frac{6}{5}+
\frac{2}{2}-\frac{12}{10}\\=\frac{6}{5}+\frac{1}{1}-\frac{6}{5}\\=\frac{6+1-6}{5}\\=\frac{1}{5}\)
- \(-\left(\frac{-10}{7}\right)
-\left(\frac{-2}{-8}\right)
-\left(\frac{5}{-7}\right)\\= \frac{10}{7}-
\frac{2}{8}+\frac{5}{7}\\=\frac{10}{7}-\frac{1}{4}+\frac{5}{7}\\=\frac{40}{28}-\frac{7}{28}+\frac{20}{28}\\=\frac{40-7+20}{28}\\=\frac{53}{28}\)
- \(-\left(\frac{2}{5}\right)
+\left(\frac{-7}{6}\right)
-\left(\frac{-10}{-5}\right)\\= \frac{-2}{5}-
\frac{7}{6}-\frac{10}{5}\\=\frac{-2}{5}-\frac{7}{6}-\frac{2}{1}\\=\frac{-12}{30}-\frac{35}{30}-\frac{60}{30}\\=\frac{-12-35-60}{30}\\=\frac{-107}{30}\)