Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-8}{-5}\right)-\left(\frac{-13}{3}\right)\\= \frac{8}{5}+\frac{13}{3}\\=\frac{24}{15}+\frac{65}{15}\\=\frac{24+65}{15}\\=\frac{89}{15}\)
2. \(+\left(\frac{7}{8}\right)-\left(\frac{14}{-11}\right)\\= \frac{7}{8}+\frac{14}{11}\\=\frac{77}{88}+\frac{112}{88}\\=\frac{77+112}{88}\\=\frac{189}{88}\)
3. \(-\left(\frac{9}{-11}\right)+\left(\frac{-12}{11}\right)\\= \frac{9}{11}-\frac{12}{11}\\=\frac{9-12}{11}\\=\frac{-3}{11}\)
4. \(+\left(\frac{4}{-11}\right)-\left(\frac{-14}{9}\right)\\= \frac{-4}{11}+\frac{14}{9}\\=\frac{-36}{99}+\frac{154}{99}\\=\frac{-36+154}{99}\\=\frac{118}{99}\)
5. \(-\left(\frac{-11}{14}\right)+\left(\frac{2}{-5}\right)\\= \frac{11}{14}-\frac{2}{5}\\=\frac{55}{70}-\frac{28}{70}\\=\frac{55-28}{70}\\=\frac{27}{70}\)
6. \(-\left(\frac{10}{3}\right)-\left(\frac{-11}{4}\right)\\= \frac{-10}{3}+\frac{11}{4}\\=\frac{-40}{12}+\frac{33}{12}\\=\frac{-40+33}{12}\\=\frac{-7}{12}\)
7. \(-\left(\frac{-12}{5}\right)+\left(\frac{-10}{11}\right)\\= \frac{12}{5}-\frac{10}{11}\\=\frac{132}{55}-\frac{50}{55}\\=\frac{132-50}{55}\\=\frac{82}{55}\)
8. \(+\left(\frac{10}{-13}\right)-\left(\frac{13}{14}\right)\\= \frac{-10}{13}-\frac{13}{14}\\=\frac{-140}{182}-\frac{169}{182}\\=\frac{-140-169}{182}\\=\frac{-309}{182}\)
9. \(+\left(\frac{7}{-8}\right)+\left(\frac{14}{-13}\right)\\= \frac{-7}{8}-\frac{14}{13}\\=\frac{-91}{104}-\frac{112}{104}\\=\frac{-91-112}{104}\\=\frac{-203}{104}\)
10. \(+\left(\frac{-6}{5}\right)-\left(\frac{-14}{9}\right)\\= \frac{-6}{5}+\frac{14}{9}\\=\frac{-54}{45}+\frac{70}{45}\\=\frac{-54+70}{45}\\=\frac{16}{45}\)
11. \(-\left(\frac{-3}{-14}\right)-\left(\frac{-13}{14}\right)\\= \frac{-3}{14}+\frac{13}{14}\\=\frac{-3+13}{14}\\=\frac{10}{14}\\=\frac{5}{7}\)
12. \(+\left(\frac{9}{-11}\right)-\left(\frac{-15}{13}\right)\\= \frac{-9}{11}+\frac{15}{13}\\=\frac{-117}{143}+\frac{165}{143}\\=\frac{-117+165}{143}\\=\frac{48}{143}\)