Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-4}\right)-\left(\frac{-8}{5}\right)\\= \frac{9}{4}+\frac{8}{5}\\=\frac{45}{20}+\frac{32}{20}\\=\frac{45+32}{20}\\=\frac{77}{20}\)
2. \(+\left(\frac{-15}{11}\right)-\left(\frac{8}{-9}\right)\\= \frac{-15}{11}+\frac{8}{9}\\=\frac{-135}{99}+\frac{88}{99}\\=\frac{-135+88}{99}\\=\frac{-47}{99}\)
3. \(-\left(\frac{-3}{2}\right)+\left(\frac{13}{-12}\right)\\= \frac{3}{2}-\frac{13}{12}\\=\frac{18}{12}-\frac{13}{12}\\=\frac{18-13}{12}\\=\frac{5}{12}\)
4. \(+\left(\frac{8}{7}\right)-\left(\frac{13}{9}\right)\\= \frac{8}{7}-\frac{13}{9}\\=\frac{72}{63}-\frac{91}{63}\\=\frac{72-91}{63}\\=\frac{-19}{63}\)
5. \(+\left(\frac{-7}{9}\right)+\left(\frac{10}{7}\right)\\= \frac{-7}{9}+\frac{10}{7}\\=\frac{-49}{63}+\frac{90}{63}\\=\frac{-49+90}{63}\\=\frac{41}{63}\)
6. \(-\left(\frac{-4}{-3}\right)-\left(\frac{14}{11}\right)\\= \frac{-4}{3}-\frac{14}{11}\\=\frac{-44}{33}-\frac{42}{33}\\=\frac{-44-42}{33}\\=\frac{-86}{33}\)
7. \(-\left(\frac{-10}{-13}\right)-\left(\frac{14}{3}\right)\\= \frac{-10}{13}-\frac{14}{3}\\=\frac{-30}{39}-\frac{182}{39}\\=\frac{-30-182}{39}\\=\frac{-212}{39}\)
8. \(-\left(\frac{5}{-13}\right)-\left(\frac{-7}{-6}\right)\\= \frac{5}{13}-\frac{7}{6}\\=\frac{30}{78}-\frac{91}{78}\\=\frac{30-91}{78}\\=\frac{-61}{78}\)
9. \(+\left(\frac{8}{-11}\right)+\left(\frac{-14}{9}\right)\\= \frac{-8}{11}-\frac{14}{9}\\=\frac{-72}{99}-\frac{154}{99}\\=\frac{-72-154}{99}\\=\frac{-226}{99}\)
10. \(+\left(\frac{5}{9}\right)+\left(\frac{-7}{11}\right)\\= \frac{5}{9}-\frac{7}{11}\\=\frac{55}{99}-\frac{63}{99}\\=\frac{55-63}{99}\\=\frac{-8}{99}\)
11. \(+\left(\frac{-11}{-12}\right)+\left(\frac{-9}{8}\right)\\= \frac{11}{12}-\frac{9}{8}\\=\frac{22}{24}-\frac{27}{24}\\=\frac{22-27}{24}\\=\frac{-5}{24}\)
12. \(-\left(\frac{11}{10}\right)-\left(\frac{-12}{7}\right)\\= \frac{-11}{10}+\frac{12}{7}\\=\frac{-77}{70}+\frac{120}{70}\\=\frac{-77+120}{70}\\=\frac{43}{70}\)