Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{-7}\right)-\left(\frac{-3}{14}\right)\\= \frac{-9}{7}+\frac{3}{14}\\=\frac{-18}{14}+\frac{3}{14}\\=\frac{-18+3}{14}\\=\frac{-15}{14}\)
2. \(-\left(\frac{-4}{-7}\right)-\left(\frac{7}{-3}\right)\\= \frac{-4}{7}+\frac{7}{3}\\=\frac{-12}{21}+\frac{49}{21}\\=\frac{-12+49}{21}\\=\frac{37}{21}\)
3. \(+\left(\frac{-8}{11}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-8}{11}+\frac{12}{5}\\=\frac{-40}{55}+\frac{132}{55}\\=\frac{-40+132}{55}\\=\frac{92}{55}\)
4. \(-\left(\frac{-6}{7}\right)-\left(\frac{-6}{-5}\right)\\= \frac{6}{7}-\frac{6}{5}\\=\frac{30}{35}-\frac{42}{35}\\=\frac{30-42}{35}\\=\frac{-12}{35}\)
5. \(+\left(\frac{-11}{-12}\right)+\left(\frac{15}{-11}\right)\\= \frac{11}{12}-\frac{15}{11}\\=\frac{121}{132}-\frac{180}{132}\\=\frac{121-180}{132}\\=\frac{-59}{132}\)
6. \(-\left(\frac{-12}{-7}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-12}{7}+\frac{11}{2}\\=\frac{-24}{14}+\frac{77}{14}\\=\frac{-24+77}{14}\\=\frac{53}{14}\)
7. \(+\left(\frac{-15}{-11}\right)-\left(\frac{-2}{-13}\right)\\= \frac{15}{11}-\frac{2}{13}\\=\frac{195}{143}-\frac{22}{143}\\=\frac{195-22}{143}\\=\frac{173}{143}\)
8. \(-\left(\frac{-9}{11}\right)-\left(\frac{-4}{-9}\right)\\= \frac{9}{11}-\frac{4}{9}\\=\frac{81}{99}-\frac{44}{99}\\=\frac{81-44}{99}\\=\frac{37}{99}\)
9. \(-\left(\frac{-5}{9}\right)+\left(\frac{-7}{-8}\right)\\= \frac{5}{9}+\frac{7}{8}\\=\frac{40}{72}+\frac{63}{72}\\=\frac{40+63}{72}\\=\frac{103}{72}\)
10. \(-\left(\frac{12}{7}\right)-\left(\frac{8}{3}\right)\\= \frac{-12}{7}-\frac{8}{3}\\=\frac{-36}{21}-\frac{56}{21}\\=\frac{-36-56}{21}\\=\frac{-92}{21}\)
11. \(-\left(\frac{-4}{-9}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-4}{9}+\frac{12}{5}\\=\frac{-20}{45}+\frac{108}{45}\\=\frac{-20+108}{45}\\=\frac{88}{45}\)
12. \(-\left(\frac{5}{-14}\right)-\left(\frac{-9}{-10}\right)\\= \frac{5}{14}-\frac{9}{10}\\=\frac{25}{70}-\frac{63}{70}\\=\frac{25-63}{70}\\=\frac{-38}{70}\\=\frac{-19}{35}\)