Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{-7}\right)-\left(\frac{-12}{5}\right)\\= \frac{8}{7}+\frac{12}{5}\\=\frac{40}{35}+\frac{84}{35}\\=\frac{40+84}{35}\\=\frac{124}{35}\)
2. \(+\left(\frac{8}{-3}\right)-\left(\frac{8}{-11}\right)\\= \frac{-8}{3}+\frac{8}{11}\\=\frac{-88}{33}+\frac{24}{33}\\=\frac{-88+24}{33}\\=\frac{-64}{33}\)
3. \(-\left(\frac{-15}{11}\right)+\left(\frac{10}{7}\right)\\= \frac{15}{11}+\frac{10}{7}\\=\frac{105}{77}+\frac{110}{77}\\=\frac{105+110}{77}\\=\frac{215}{77}\)
4. \(+\left(\frac{11}{-5}\right)+\left(\frac{-9}{-7}\right)\\= \frac{-11}{5}+\frac{9}{7}\\=\frac{-77}{35}+\frac{45}{35}\\=\frac{-77+45}{35}\\=\frac{-32}{35}\)
5. \(-\left(\frac{-9}{10}\right)+\left(\frac{-13}{12}\right)\\= \frac{9}{10}-\frac{13}{12}\\=\frac{54}{60}-\frac{65}{60}\\=\frac{54-65}{60}\\=\frac{-11}{60}\)
6. \(-\left(\frac{9}{-7}\right)+\left(\frac{-3}{-13}\right)\\= \frac{9}{7}+\frac{3}{13}\\=\frac{117}{91}+\frac{21}{91}\\=\frac{117+21}{91}\\=\frac{138}{91}\)
7. \(+\left(\frac{-4}{-11}\right)-\left(\frac{-10}{-7}\right)\\= \frac{4}{11}-\frac{10}{7}\\=\frac{28}{77}-\frac{110}{77}\\=\frac{28-110}{77}\\=\frac{-82}{77}\)
8. \(-\left(\frac{-6}{-5}\right)+\left(\frac{11}{14}\right)\\= \frac{-6}{5}+\frac{11}{14}\\=\frac{-84}{70}+\frac{55}{70}\\=\frac{-84+55}{70}\\=\frac{-29}{70}\)
9. \(-\left(\frac{-4}{3}\right)-\left(\frac{9}{5}\right)\\= \frac{4}{3}-\frac{9}{5}\\=\frac{20}{15}-\frac{27}{15}\\=\frac{20-27}{15}\\=\frac{-7}{15}\)
10. \(-\left(\frac{-9}{4}\right)-\left(\frac{-2}{5}\right)\\= \frac{9}{4}+\frac{2}{5}\\=\frac{45}{20}+\frac{8}{20}\\=\frac{45+8}{20}\\=\frac{53}{20}\)
11. \(+\left(\frac{-7}{2}\right)+\left(\frac{-6}{13}\right)\\= \frac{-7}{2}-\frac{6}{13}\\=\frac{-91}{26}-\frac{12}{26}\\=\frac{-91-12}{26}\\=\frac{-103}{26}\)
12. \(+\left(\frac{10}{-9}\right)-\left(\frac{-7}{-11}\right)\\= \frac{-10}{9}-\frac{7}{11}\\=\frac{-110}{99}-\frac{63}{99}\\=\frac{-110-63}{99}\\=\frac{-173}{99}\)