Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-11}\right)-\left(\frac{8}{9}\right)\\= \frac{-3}{11}-\frac{8}{9}\\=\frac{-27}{99}-\frac{88}{99}\\=\frac{-27-88}{99}\\=\frac{-115}{99}\)
2. \(-\left(\frac{11}{2}\right)-\left(\frac{-3}{7}\right)\\= \frac{-11}{2}+\frac{3}{7}\\=\frac{-77}{14}+\frac{6}{14}\\=\frac{-77+6}{14}\\=\frac{-71}{14}\)
3. \(-\left(\frac{-3}{4}\right)-\left(\frac{-4}{-3}\right)\\= \frac{3}{4}-\frac{4}{3}\\=\frac{9}{12}-\frac{16}{12}\\=\frac{9-16}{12}\\=\frac{-7}{12}\)
4. \(-\left(\frac{-10}{13}\right)-\left(\frac{-9}{14}\right)\\= \frac{10}{13}+\frac{9}{14}\\=\frac{140}{182}+\frac{117}{182}\\=\frac{140+117}{182}\\=\frac{257}{182}\)
5. \(+\left(\frac{9}{-4}\right)-\left(\frac{5}{-9}\right)\\= \frac{-9}{4}+\frac{5}{9}\\=\frac{-81}{36}+\frac{20}{36}\\=\frac{-81+20}{36}\\=\frac{-61}{36}\)
6. \(-\left(\frac{15}{-7}\right)-\left(\frac{11}{10}\right)\\= \frac{15}{7}-\frac{11}{10}\\=\frac{150}{70}-\frac{77}{70}\\=\frac{150-77}{70}\\=\frac{73}{70}\)
7. \(-\left(\frac{-4}{3}\right)+\left(\frac{5}{-7}\right)\\= \frac{4}{3}-\frac{5}{7}\\=\frac{28}{21}-\frac{15}{21}\\=\frac{28-15}{21}\\=\frac{13}{21}\)
8. \(-\left(\frac{15}{13}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-15}{13}-\frac{4}{13}\\=\frac{-15-4}{13}\\=\frac{-19}{13}\)
9. \(+\left(\frac{-13}{7}\right)-\left(\frac{-3}{7}\right)\\= \frac{-13}{7}+\frac{3}{7}\\=\frac{-13+3}{7}\\=\frac{-10}{7}\)
10. \(-\left(\frac{11}{4}\right)+\left(\frac{-5}{-13}\right)\\= \frac{-11}{4}+\frac{5}{13}\\=\frac{-143}{52}+\frac{20}{52}\\=\frac{-143+20}{52}\\=\frac{-123}{52}\)
11. \(-\left(\frac{15}{11}\right)-\left(\frac{-10}{7}\right)\\= \frac{-15}{11}+\frac{10}{7}\\=\frac{-105}{77}+\frac{110}{77}\\=\frac{-105+110}{77}\\=\frac{5}{77}\)
12. \(+\left(\frac{12}{-13}\right)-\left(\frac{13}{-14}\right)\\= \frac{-12}{13}+\frac{13}{14}\\=\frac{-168}{182}+\frac{169}{182}\\=\frac{-168+169}{182}\\=\frac{1}{182}\)