Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-9}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-5}{9}-\frac{6}{5}\\=\frac{-25}{45}-\frac{54}{45}\\=\frac{-25-54}{45}\\=\frac{-79}{45}\)
2. \(-\left(\frac{-13}{-7}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-13}{7}+\frac{6}{5}\\=\frac{-65}{35}+\frac{42}{35}\\=\frac{-65+42}{35}\\=\frac{-23}{35}\)
3. \(-\left(\frac{-8}{-5}\right)+\left(\frac{4}{-11}\right)\\= \frac{-8}{5}-\frac{4}{11}\\=\frac{-88}{55}-\frac{20}{55}\\=\frac{-88-20}{55}\\=\frac{-108}{55}\)
4. \(+\left(\frac{-2}{-9}\right)+\left(\frac{-11}{-8}\right)\\= \frac{2}{9}+\frac{11}{8}\\=\frac{16}{72}+\frac{99}{72}\\=\frac{16+99}{72}\\=\frac{115}{72}\)
5. \(-\left(\frac{-11}{6}\right)-\left(\frac{-5}{7}\right)\\= \frac{11}{6}+\frac{5}{7}\\=\frac{77}{42}+\frac{30}{42}\\=\frac{77+30}{42}\\=\frac{107}{42}\)
6. \(+\left(\frac{6}{-7}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-6}{7}+\frac{15}{13}\\=\frac{-78}{91}+\frac{105}{91}\\=\frac{-78+105}{91}\\=\frac{27}{91}\)
7. \(-\left(\frac{-12}{-7}\right)-\left(\frac{-3}{10}\right)\\= \frac{-12}{7}+\frac{3}{10}\\=\frac{-120}{70}+\frac{21}{70}\\=\frac{-120+21}{70}\\=\frac{-99}{70}\)
8. \(+\left(\frac{6}{-11}\right)+\left(\frac{7}{-8}\right)\\= \frac{-6}{11}-\frac{7}{8}\\=\frac{-48}{88}-\frac{77}{88}\\=\frac{-48-77}{88}\\=\frac{-125}{88}\)
9. \(-\left(\frac{-3}{7}\right)-\left(\frac{-8}{3}\right)\\= \frac{3}{7}+\frac{8}{3}\\=\frac{9}{21}+\frac{56}{21}\\=\frac{9+56}{21}\\=\frac{65}{21}\)
10. \(+\left(\frac{12}{-5}\right)-\left(\frac{-11}{-5}\right)\\= \frac{-12}{5}-\frac{11}{5}\\=\frac{-12-11}{5}\\=\frac{-23}{5}\)
11. \(-\left(\frac{-10}{3}\right)+\left(\frac{-6}{-5}\right)\\= \frac{10}{3}+\frac{6}{5}\\=\frac{50}{15}+\frac{18}{15}\\=\frac{50+18}{15}\\=\frac{68}{15}\)
12. \(+\left(\frac{12}{5}\right)-\left(\frac{4}{-3}\right)\\= \frac{12}{5}+\frac{4}{3}\\=\frac{36}{15}+\frac{20}{15}\\=\frac{36+20}{15}\\=\frac{56}{15}\)