Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-13}\right)-\left(\frac{8}{-11}\right)\\= \frac{-7}{13}+\frac{8}{11}\\=\frac{-77}{143}+\frac{104}{143}\\=\frac{-77+104}{143}\\=\frac{27}{143}\)
2. \(-\left(\frac{-14}{-11}\right)+\left(\frac{-8}{13}\right)\\= \frac{-14}{11}-\frac{8}{13}\\=\frac{-182}{143}-\frac{88}{143}\\=\frac{-182-88}{143}\\=\frac{-270}{143}\)
3. \(+\left(\frac{4}{11}\right)-\left(\frac{4}{-5}\right)\\= \frac{4}{11}+\frac{4}{5}\\=\frac{20}{55}+\frac{44}{55}\\=\frac{20+44}{55}\\=\frac{64}{55}\)
4. \(-\left(\frac{10}{9}\right)+\left(\frac{-7}{13}\right)\\= \frac{-10}{9}-\frac{7}{13}\\=\frac{-130}{117}-\frac{63}{117}\\=\frac{-130-63}{117}\\=\frac{-193}{117}\)
5. \(+\left(\frac{12}{5}\right)-\left(\frac{5}{7}\right)\\= \frac{12}{5}-\frac{5}{7}\\=\frac{84}{35}-\frac{25}{35}\\=\frac{84-25}{35}\\=\frac{59}{35}\)
6. \(-\left(\frac{8}{9}\right)+\left(\frac{-12}{7}\right)\\= \frac{-8}{9}-\frac{12}{7}\\=\frac{-56}{63}-\frac{108}{63}\\=\frac{-56-108}{63}\\=\frac{-164}{63}\)
7. \(-\left(\frac{15}{8}\right)-\left(\frac{-5}{-3}\right)\\= \frac{-15}{8}-\frac{5}{3}\\=\frac{-45}{24}-\frac{40}{24}\\=\frac{-45-40}{24}\\=\frac{-85}{24}\)
8. \(+\left(\frac{-9}{-7}\right)+\left(\frac{9}{7}\right)\\= \frac{9}{7}+\frac{9}{7}\\=\frac{9+9}{7}\\=\frac{18}{7}\)
9. \(-\left(\frac{9}{8}\right)+\left(\frac{-5}{9}\right)\\= \frac{-9}{8}-\frac{5}{9}\\=\frac{-81}{72}-\frac{40}{72}\\=\frac{-81-40}{72}\\=\frac{-121}{72}\)
10. \(-\left(\frac{5}{3}\right)-\left(\frac{15}{-2}\right)\\= \frac{-5}{3}+\frac{15}{2}\\=\frac{-10}{6}+\frac{45}{6}\\=\frac{-10+45}{6}\\=\frac{35}{6}\)
11. \(-\left(\frac{-14}{-15}\right)-\left(\frac{3}{-4}\right)\\= \frac{-14}{15}+\frac{3}{4}\\=\frac{-56}{60}+\frac{45}{60}\\=\frac{-56+45}{60}\\=\frac{-11}{60}\)
12. \(+\left(\frac{-11}{-7}\right)-\left(\frac{-15}{11}\right)\\= \frac{11}{7}+\frac{15}{11}\\=\frac{121}{77}+\frac{105}{77}\\=\frac{121+105}{77}\\=\frac{226}{77}\)