Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{11}\right)-\left(\frac{-15}{8}\right)\\= \frac{-2}{11}+\frac{15}{8}\\=\frac{-16}{88}+\frac{165}{88}\\=\frac{-16+165}{88}\\=\frac{149}{88}\)
2. \(-\left(\frac{-4}{11}\right)-\left(\frac{7}{11}\right)\\= \frac{4}{11}-\frac{7}{11}\\=\frac{4-7}{11}\\=\frac{-3}{11}\)
3. \(-\left(\frac{12}{5}\right)+\left(\frac{-9}{2}\right)\\= \frac{-12}{5}-\frac{9}{2}\\=\frac{-24}{10}-\frac{45}{10}\\=\frac{-24-45}{10}\\=\frac{-69}{10}\)
4. \(-\left(\frac{-7}{-8}\right)+\left(\frac{14}{13}\right)\\= \frac{-7}{8}+\frac{14}{13}\\=\frac{-91}{104}+\frac{112}{104}\\=\frac{-91+112}{104}\\=\frac{21}{104}\)
5. \(+\left(\frac{-3}{-5}\right)+\left(\frac{15}{11}\right)\\= \frac{3}{5}+\frac{15}{11}\\=\frac{33}{55}+\frac{75}{55}\\=\frac{33+75}{55}\\=\frac{108}{55}\)
6. \(+\left(\frac{-13}{12}\right)-\left(\frac{-3}{-7}\right)\\= \frac{-13}{12}-\frac{3}{7}\\=\frac{-91}{84}-\frac{36}{84}\\=\frac{-91-36}{84}\\=\frac{-127}{84}\)
7. \(+\left(\frac{-9}{10}\right)+\left(\frac{-4}{5}\right)\\= \frac{-9}{10}-\frac{4}{5}\\=\frac{-9-4}{10}\\=\frac{-13}{10}\)
8. \(+\left(\frac{-14}{-11}\right)+\left(\frac{9}{-5}\right)\\= \frac{14}{11}-\frac{9}{5}\\=\frac{70}{55}-\frac{99}{55}\\=\frac{70-99}{55}\\=\frac{-29}{55}\)
9. \(+\left(\frac{11}{6}\right)-\left(\frac{10}{13}\right)\\= \frac{11}{6}-\frac{10}{13}\\=\frac{143}{78}-\frac{60}{78}\\=\frac{143-60}{78}\\=\frac{83}{78}\)
10. \(+\left(\frac{11}{3}\right)-\left(\frac{-5}{13}\right)\\= \frac{11}{3}+\frac{5}{13}\\=\frac{143}{39}+\frac{15}{39}\\=\frac{143+15}{39}\\=\frac{158}{39}\)
11. \(+\left(\frac{15}{4}\right)-\left(\frac{5}{-2}\right)\\= \frac{15}{4}+\frac{5}{2}\\=\frac{15+5}{4}\\=\frac{20}{4}\\=\frac{5}{1}\)
12. \(+\left(\frac{-10}{7}\right)+\left(\frac{-14}{-5}\right)\\= \frac{-10}{7}+\frac{14}{5}\\=\frac{-50}{35}+\frac{98}{35}\\=\frac{-50+98}{35}\\=\frac{48}{35}\)