Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-8}{-3}\right)+\left(\frac{-13}{-14}\right)\\= \frac{8}{3}+\frac{13}{14}\\=\frac{112}{42}+\frac{39}{42}\\=\frac{112+39}{42}\\=\frac{151}{42}\)
2. \(+\left(\frac{-5}{11}\right)-\left(\frac{-9}{-5}\right)\\= \frac{-5}{11}-\frac{9}{5}\\=\frac{-25}{55}-\frac{99}{55}\\=\frac{-25-99}{55}\\=\frac{-124}{55}\)
3. \(+\left(\frac{2}{9}\right)+\left(\frac{5}{-8}\right)\\= \frac{2}{9}-\frac{5}{8}\\=\frac{16}{72}-\frac{45}{72}\\=\frac{16-45}{72}\\=\frac{-29}{72}\)
4. \(-\left(\frac{-12}{7}\right)-\left(\frac{9}{2}\right)\\= \frac{12}{7}-\frac{9}{2}\\=\frac{24}{14}-\frac{63}{14}\\=\frac{24-63}{14}\\=\frac{-39}{14}\)
5. \(+\left(\frac{-13}{-14}\right)+\left(\frac{-5}{4}\right)\\= \frac{13}{14}-\frac{5}{4}\\=\frac{26}{28}-\frac{35}{28}\\=\frac{26-35}{28}\\=\frac{-9}{28}\)
6. \(-\left(\frac{15}{2}\right)+\left(\frac{-3}{4}\right)\\= \frac{-15}{2}-\frac{3}{4}\\=\frac{-30}{4}-\frac{3}{4}\\=\frac{-30-3}{4}\\=\frac{-33}{4}\)
7. \(-\left(\frac{12}{-7}\right)+\left(\frac{-5}{-13}\right)\\= \frac{12}{7}+\frac{5}{13}\\=\frac{156}{91}+\frac{35}{91}\\=\frac{156+35}{91}\\=\frac{191}{91}\)
8. \(-\left(\frac{5}{6}\right)-\left(\frac{-12}{11}\right)\\= \frac{-5}{6}+\frac{12}{11}\\=\frac{-55}{66}+\frac{72}{66}\\=\frac{-55+72}{66}\\=\frac{17}{66}\)
9. \(-\left(\frac{-14}{5}\right)+\left(\frac{-15}{-11}\right)\\= \frac{14}{5}+\frac{15}{11}\\=\frac{154}{55}+\frac{75}{55}\\=\frac{154+75}{55}\\=\frac{229}{55}\)
10. \(+\left(\frac{-3}{-4}\right)-\left(\frac{4}{-5}\right)\\= \frac{3}{4}+\frac{4}{5}\\=\frac{15}{20}+\frac{16}{20}\\=\frac{15+16}{20}\\=\frac{31}{20}\)
11. \(-\left(\frac{2}{9}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-2}{9}-\frac{4}{3}\\=\frac{-2-4}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
12. \(+\left(\frac{8}{7}\right)+\left(\frac{-3}{-13}\right)\\= \frac{8}{7}+\frac{3}{13}\\=\frac{104}{91}+\frac{21}{91}\\=\frac{104+21}{91}\\=\frac{125}{91}\)