Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-2}{-3}\right)\)
2. \(+\left(\frac{13}{3}\right)+\left(\frac{-10}{3}\right)\)
3. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-15}{13}\right)\)
4. \(+\left(\frac{8}{3}\right)-\left(\frac{-4}{-5}\right)\)
5. \(+\left(\frac{14}{-11}\right)-\left(\frac{-13}{10}\right)\)
6. \(+\left(\frac{5}{-14}\right)+\left(\frac{11}{5}\right)\)
7. \(-\left(\frac{-15}{4}\right)+\left(\frac{10}{7}\right)\)
8. \(-\left(\frac{-9}{-2}\right)+\left(\frac{-2}{3}\right)\)
9. \(-\left(\frac{11}{-2}\right)-\left(\frac{7}{-12}\right)\)
10. \(-\left(\frac{6}{11}\right)-\left(\frac{-2}{5}\right)\)
11. \(+\left(\frac{-8}{3}\right)-\left(\frac{2}{13}\right)\)
12. \(+\left(\frac{12}{-7}\right)+\left(\frac{-3}{5}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-2}{-3}\right)\\= \frac{14}{3}+\frac{2}{3}\\=\frac{14+2}{3}\\=\frac{16}{3}\)
2. \(+\left(\frac{13}{3}\right)+\left(\frac{-10}{3}\right)\\= \frac{13}{3}-\frac{10}{3}\\=\frac{13-10}{3}\\=\frac{3}{3}\\=\frac{1}{1}\)
3. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-15}{13}\right)\\= \frac{-12}{5}-\frac{15}{13}\\=\frac{-156}{65}-\frac{75}{65}\\=\frac{-156-75}{65}\\=\frac{-231}{65}\)
4. \(+\left(\frac{8}{3}\right)-\left(\frac{-4}{-5}\right)\\= \frac{8}{3}-\frac{4}{5}\\=\frac{40}{15}-\frac{12}{15}\\=\frac{40-12}{15}\\=\frac{28}{15}\)
5. \(+\left(\frac{14}{-11}\right)-\left(\frac{-13}{10}\right)\\= \frac{-14}{11}+\frac{13}{10}\\=\frac{-140}{110}+\frac{143}{110}\\=\frac{-140+143}{110}\\=\frac{3}{110}\)
6. \(+\left(\frac{5}{-14}\right)+\left(\frac{11}{5}\right)\\= \frac{-5}{14}+\frac{11}{5}\\=\frac{-25}{70}+\frac{154}{70}\\=\frac{-25+154}{70}\\=\frac{129}{70}\)
7. \(-\left(\frac{-15}{4}\right)+\left(\frac{10}{7}\right)\\= \frac{15}{4}+\frac{10}{7}\\=\frac{105}{28}+\frac{40}{28}\\=\frac{105+40}{28}\\=\frac{145}{28}\)
8. \(-\left(\frac{-9}{-2}\right)+\left(\frac{-2}{3}\right)\\= \frac{-9}{2}-\frac{2}{3}\\=\frac{-27}{6}-\frac{4}{6}\\=\frac{-27-4}{6}\\=\frac{-31}{6}\)
9. \(-\left(\frac{11}{-2}\right)-\left(\frac{7}{-12}\right)\\= \frac{11}{2}+\frac{7}{12}\\=\frac{66}{12}+\frac{7}{12}\\=\frac{66+7}{12}\\=\frac{73}{12}\)
10. \(-\left(\frac{6}{11}\right)-\left(\frac{-2}{5}\right)\\= \frac{-6}{11}+\frac{2}{5}\\=\frac{-30}{55}+\frac{22}{55}\\=\frac{-30+22}{55}\\=\frac{-8}{55}\)
11. \(+\left(\frac{-8}{3}\right)-\left(\frac{2}{13}\right)\\= \frac{-8}{3}-\frac{2}{13}\\=\frac{-104}{39}-\frac{6}{39}\\=\frac{-104-6}{39}\\=\frac{-110}{39}\)
12. \(+\left(\frac{12}{-7}\right)+\left(\frac{-3}{5}\right)\\= \frac{-12}{7}-\frac{3}{5}\\=\frac{-60}{35}-\frac{21}{35}\\=\frac{-60-21}{35}\\=\frac{-81}{35}\)