Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{7}\right)-\left(\frac{-11}{12}\right)\\= \frac{-5}{7}+\frac{11}{12}\\=\frac{-60}{84}+\frac{77}{84}\\=\frac{-60+77}{84}\\=\frac{17}{84}\)
2. \(-\left(\frac{3}{10}\right)+\left(\frac{15}{-7}\right)\\= \frac{-3}{10}-\frac{15}{7}\\=\frac{-21}{70}-\frac{150}{70}\\=\frac{-21-150}{70}\\=\frac{-171}{70}\)
3. \(+\left(\frac{10}{-7}\right)-\left(\frac{13}{14}\right)\\= \frac{-10}{7}-\frac{13}{14}\\=\frac{-20}{14}-\frac{13}{14}\\=\frac{-20-13}{14}\\=\frac{-33}{14}\)
4. \(-\left(\frac{-11}{8}\right)+\left(\frac{4}{-9}\right)\\= \frac{11}{8}-\frac{4}{9}\\=\frac{99}{72}-\frac{32}{72}\\=\frac{99-32}{72}\\=\frac{67}{72}\)
5. \(+\left(\frac{10}{-13}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-10}{13}-\frac{13}{14}\\=\frac{-140}{182}-\frac{169}{182}\\=\frac{-140-169}{182}\\=\frac{-309}{182}\)
6. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-12}{5}+\frac{14}{9}\\=\frac{-108}{45}+\frac{70}{45}\\=\frac{-108+70}{45}\\=\frac{-38}{45}\)
7. \(+\left(\frac{-15}{2}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-15}{2}+\frac{6}{5}\\=\frac{-75}{10}+\frac{12}{10}\\=\frac{-75+12}{10}\\=\frac{-63}{10}\)
8. \(+\left(\frac{11}{-13}\right)-\left(\frac{-13}{-9}\right)\\= \frac{-11}{13}-\frac{13}{9}\\=\frac{-99}{117}-\frac{169}{117}\\=\frac{-99-169}{117}\\=\frac{-268}{117}\)
9. \(-\left(\frac{15}{-2}\right)+\left(\frac{8}{7}\right)\\= \frac{15}{2}+\frac{8}{7}\\=\frac{105}{14}+\frac{16}{14}\\=\frac{105+16}{14}\\=\frac{121}{14}\)
10. \(+\left(\frac{-8}{5}\right)-\left(\frac{-4}{13}\right)\\= \frac{-8}{5}+\frac{4}{13}\\=\frac{-104}{65}+\frac{20}{65}\\=\frac{-104+20}{65}\\=\frac{-84}{65}\)
11. \(-\left(\frac{-4}{-11}\right)+\left(\frac{3}{-11}\right)\\= \frac{-4}{11}-\frac{3}{11}\\=\frac{-4-3}{11}\\=\frac{-7}{11}\)
12. \(-\left(\frac{2}{-11}\right)-\left(\frac{-14}{9}\right)\\= \frac{2}{11}+\frac{14}{9}\\=\frac{18}{99}+\frac{154}{99}\\=\frac{18+154}{99}\\=\frac{172}{99}\)