Bereken
- \(-\left(\frac{5}{6}\right)
+\left(\frac{-2}{-8}\right)
+\left(\frac{2}{-11}\right)\)
- \(+\left(\frac{9}{-4}\right)
+\left(\frac{-7}{-4}\right)
+\left(\frac{-9}{-5}\right)\)
- \(+\left(\frac{7}{8}\right)
-\left(\frac{2}{8}\right)
+\left(\frac{-8}{-7}\right)\)
- \(-\left(\frac{-9}{7}\right)
+\left(\frac{-6}{-7}\right)
-\left(\frac{-9}{-4}\right)\)
- \(+\left(\frac{-7}{8}\right)
-\left(\frac{-10}{-2}\right)
-\left(\frac{3}{3}\right)\)
- \(-\left(\frac{-4}{3}\right)
+\left(\frac{9}{10}\right)
+\left(\frac{-11}{-2}\right)\)
- \(-\left(\frac{3}{-2}\right)
-\left(\frac{-3}{10}\right)
-\left(\frac{4}{10}\right)\)
- \(+\left(\frac{7}{4}\right)
-\left(\frac{-2}{6}\right)
-\left(\frac{6}{-8}\right)\)
- \(+\left(\frac{-2}{3}\right)
+\left(\frac{-10}{-4}\right)
+\left(\frac{-9}{-2}\right)\)
- \(-\left(\frac{-7}{-3}\right)
+\left(\frac{-2}{8}\right)
-\left(\frac{5}{9}\right)\)
- \(+\left(\frac{-2}{-9}\right)
-\left(\frac{-7}{9}\right)
-\left(\frac{11}{-2}\right)\)
- \(+\left(\frac{-5}{6}\right)
+\left(\frac{5}{8}\right)
+\left(\frac{-4}{-5}\right)\)
Bereken
Verbetersleutel
- \(-\left(\frac{5}{6}\right)
+\left(\frac{-2}{-8}\right)
+\left(\frac{2}{-11}\right)\\= \frac{-5}{6}+
\frac{2}{8}-\frac{2}{11}\\=\frac{-5}{6}+\frac{1}{4}-\frac{2}{11}\\=\frac{-110}{132}+\frac{33}{132}-\frac{24}{132}\\=\frac{-110+33-24}{132}\\=\frac{-101}{132}\)
- \(+\left(\frac{9}{-4}\right)
+\left(\frac{-7}{-4}\right)
+\left(\frac{-9}{-5}\right)\\= \frac{-9}{4}+
\frac{7}{4}+\frac{9}{5}\\=\frac{-45}{20}+\frac{35}{20}+\frac{36}{20}\\=\frac{-45+35+36}{20}\\=\frac{26}{20}\\=\frac{13}{10}\)
- \(+\left(\frac{7}{8}\right)
-\left(\frac{2}{8}\right)
+\left(\frac{-8}{-7}\right)\\= \frac{7}{8}-
\frac{2}{8}+\frac{8}{7}\\=\frac{7}{8}-\frac{1}{4}+\frac{8}{7}\\=\frac{49}{56}-\frac{14}{56}+\frac{64}{56}\\=\frac{49-14+64}{56}\\=\frac{99}{56}\)
- \(-\left(\frac{-9}{7}\right)
+\left(\frac{-6}{-7}\right)
-\left(\frac{-9}{-4}\right)\\= \frac{9}{7}+
\frac{6}{7}-\frac{9}{4}\\=\frac{36}{28}+\frac{24}{28}-\frac{63}{28}\\=\frac{36+24-63}{28}\\=\frac{-3}{28}\)
- \(+\left(\frac{-7}{8}\right)
-\left(\frac{-10}{-2}\right)
-\left(\frac{3}{3}\right)\\= \frac{-7}{8}-
\frac{10}{2}-\frac{3}{3}\\=\frac{-7}{8}-\frac{5}{1}-\frac{1}{1}\\=\frac{-7-5-1}{8}\\=\frac{-13}{8}\)
- \(-\left(\frac{-4}{3}\right)
+\left(\frac{9}{10}\right)
+\left(\frac{-11}{-2}\right)\\= \frac{4}{3}+
\frac{9}{10}+\frac{11}{2}\\=\frac{40}{30}+\frac{27}{30}+\frac{165}{30}\\=\frac{40+27+165}{30}\\=\frac{232}{30}\\=\frac{116}{15}\)
- \(-\left(\frac{3}{-2}\right)
-\left(\frac{-3}{10}\right)
-\left(\frac{4}{10}\right)\\= \frac{3}{2}+
\frac{3}{10}-\frac{4}{10}\\=\frac{3}{2}+\frac{3}{10}-\frac{2}{5}\\=\frac{15}{10}+\frac{3}{10}-\frac{4}{10}\\=\frac{15+3-4}{10}\\=\frac{14}{10}\\=\frac{7}{5}\)
- \(+\left(\frac{7}{4}\right)
-\left(\frac{-2}{6}\right)
-\left(\frac{6}{-8}\right)\\= \frac{7}{4}+
\frac{2}{6}+\frac{6}{8}\\=\frac{7}{4}+\frac{1}{3}+\frac{3}{4}\\=\frac{21}{12}+\frac{4}{12}+\frac{9}{12}\\=\frac{21+4+9}{12}\\=\frac{34}{12}\\=\frac{17}{6}\)
- \(+\left(\frac{-2}{3}\right)
+\left(\frac{-10}{-4}\right)
+\left(\frac{-9}{-2}\right)\\= \frac{-2}{3}+
\frac{10}{4}+\frac{9}{2}\\=\frac{-2}{3}+\frac{5}{2}+\frac{9}{2}\\=\frac{-4}{6}+\frac{15}{6}+\frac{27}{6}\\=\frac{-4+15+27}{6}\\=\frac{38}{6}\\=\frac{19}{3}\)
- \(-\left(\frac{-7}{-3}\right)
+\left(\frac{-2}{8}\right)
-\left(\frac{5}{9}\right)\\= \frac{-7}{3}-
\frac{2}{8}-\frac{5}{9}\\=\frac{-7}{3}-\frac{1}{4}-\frac{5}{9}\\=\frac{-84}{36}-\frac{9}{36}-\frac{20}{36}\\=\frac{-84-9-20}{36}\\=\frac{-113}{36}\)
- \(+\left(\frac{-2}{-9}\right)
-\left(\frac{-7}{9}\right)
-\left(\frac{11}{-2}\right)\\= \frac{2}{9}+
\frac{7}{9}+\frac{11}{2}\\=\frac{4}{18}+\frac{14}{18}+\frac{99}{18}\\=\frac{4+14+99}{18}\\=\frac{117}{18}\\=\frac{13}{2}\)
- \(+\left(\frac{-5}{6}\right)
+\left(\frac{5}{8}\right)
+\left(\frac{-4}{-5}\right)\\= \frac{-5}{6}+
\frac{5}{8}+\frac{4}{5}\\=\frac{-100}{120}+\frac{75}{120}+\frac{96}{120}\\=\frac{-100+75+96}{120}\\=\frac{71}{120}\)