Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{8}\right)+\left(\frac{9}{11}\right)\\= \frac{-7}{8}+\frac{9}{11}\\=\frac{-77}{88}+\frac{72}{88}\\=\frac{-77+72}{88}\\=\frac{-5}{88}\)
2. \(-\left(\frac{-10}{-3}\right)-\left(\frac{-12}{5}\right)\\= \frac{-10}{3}+\frac{12}{5}\\=\frac{-50}{15}+\frac{36}{15}\\=\frac{-50+36}{15}\\=\frac{-14}{15}\)
3. \(-\left(\frac{14}{9}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-14}{9}-\frac{4}{13}\\=\frac{-182}{117}-\frac{36}{117}\\=\frac{-182-36}{117}\\=\frac{-218}{117}\)
4. \(-\left(\frac{3}{7}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-3}{7}+\frac{4}{3}\\=\frac{-9}{21}+\frac{28}{21}\\=\frac{-9+28}{21}\\=\frac{19}{21}\)
5. \(-\left(\frac{-11}{3}\right)+\left(\frac{2}{-13}\right)\\= \frac{11}{3}-\frac{2}{13}\\=\frac{143}{39}-\frac{6}{39}\\=\frac{143-6}{39}\\=\frac{137}{39}\)
6. \(-\left(\frac{11}{4}\right)+\left(\frac{-13}{8}\right)\\= \frac{-11}{4}-\frac{13}{8}\\=\frac{-22}{8}-\frac{13}{8}\\=\frac{-22-13}{8}\\=\frac{-35}{8}\)
7. \(+\left(\frac{8}{3}\right)-\left(\frac{-5}{11}\right)\\= \frac{8}{3}+\frac{5}{11}\\=\frac{88}{33}+\frac{15}{33}\\=\frac{88+15}{33}\\=\frac{103}{33}\)
8. \(+\left(\frac{10}{-7}\right)-\left(\frac{-8}{-13}\right)\\= \frac{-10}{7}-\frac{8}{13}\\=\frac{-130}{91}-\frac{56}{91}\\=\frac{-130-56}{91}\\=\frac{-186}{91}\)
9. \(-\left(\frac{15}{-7}\right)-\left(\frac{-11}{-2}\right)\\= \frac{15}{7}-\frac{11}{2}\\=\frac{30}{14}-\frac{77}{14}\\=\frac{30-77}{14}\\=\frac{-47}{14}\)
10. \(+\left(\frac{-9}{-4}\right)+\left(\frac{13}{-8}\right)\\= \frac{9}{4}-\frac{13}{8}\\=\frac{18}{8}-\frac{13}{8}\\=\frac{18-13}{8}\\=\frac{5}{8}\)
11. \(-\left(\frac{-2}{3}\right)-\left(\frac{8}{-9}\right)\\= \frac{2}{3}+\frac{8}{9}\\=\frac{6}{9}+\frac{8}{9}\\=\frac{6+8}{9}\\=\frac{14}{9}\)
12. \(+\left(\frac{3}{4}\right)-\left(\frac{-9}{10}\right)\\= \frac{3}{4}+\frac{9}{10}\\=\frac{15}{20}+\frac{18}{20}\\=\frac{15+18}{20}\\=\frac{33}{20}\)