Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{-2}\right)+\left(\frac{-5}{-2}\right)\\= \frac{-11}{2}+\frac{5}{2}\\=\frac{-11+5}{2}\\=\frac{-6}{2}\\=\frac{-3}{1}\)
2. \(+\left(\frac{-4}{-3}\right)+\left(\frac{-14}{-9}\right)\\= \frac{4}{3}+\frac{14}{9}\\=\frac{12}{9}+\frac{14}{9}\\=\frac{12+14}{9}\\=\frac{26}{9}\)
3. \(+\left(\frac{-8}{-5}\right)-\left(\frac{-4}{3}\right)\\= \frac{8}{5}+\frac{4}{3}\\=\frac{24}{15}+\frac{20}{15}\\=\frac{24+20}{15}\\=\frac{44}{15}\)
4. \(-\left(\frac{-12}{13}\right)+\left(\frac{-15}{-7}\right)\\= \frac{12}{13}+\frac{15}{7}\\=\frac{84}{91}+\frac{195}{91}\\=\frac{84+195}{91}\\=\frac{279}{91}\)
5. \(+\left(\frac{6}{5}\right)+\left(\frac{-9}{-10}\right)\\= \frac{6}{5}+\frac{9}{10}\\=\frac{12}{10}+\frac{9}{10}\\=\frac{12+9}{10}\\=\frac{21}{10}\)
6. \(-\left(\frac{-2}{-9}\right)-\left(\frac{-3}{11}\right)\\= \frac{-2}{9}+\frac{3}{11}\\=\frac{-22}{99}+\frac{27}{99}\\=\frac{-22+27}{99}\\=\frac{5}{99}\)
7. \(-\left(\frac{-5}{-2}\right)-\left(\frac{-10}{3}\right)\\= \frac{-5}{2}+\frac{10}{3}\\=\frac{-15}{6}+\frac{20}{6}\\=\frac{-15+20}{6}\\=\frac{5}{6}\)
8. \(-\left(\frac{5}{7}\right)-\left(\frac{-8}{3}\right)\\= \frac{-5}{7}+\frac{8}{3}\\=\frac{-15}{21}+\frac{56}{21}\\=\frac{-15+56}{21}\\=\frac{41}{21}\)
9. \(+\left(\frac{3}{7}\right)+\left(\frac{15}{7}\right)\\= \frac{3}{7}+\frac{15}{7}\\=\frac{3+15}{7}\\=\frac{18}{7}\)
10. \(-\left(\frac{10}{9}\right)-\left(\frac{-9}{4}\right)\\= \frac{-10}{9}+\frac{9}{4}\\=\frac{-40}{36}+\frac{81}{36}\\=\frac{-40+81}{36}\\=\frac{41}{36}\)
11. \(-\left(\frac{6}{5}\right)+\left(\frac{11}{-14}\right)\\= \frac{-6}{5}-\frac{11}{14}\\=\frac{-84}{70}-\frac{55}{70}\\=\frac{-84-55}{70}\\=\frac{-139}{70}\)
12. \(-\left(\frac{-14}{-3}\right)+\left(\frac{-13}{-3}\right)\\= \frac{-14}{3}+\frac{13}{3}\\=\frac{-14+13}{3}\\=\frac{-1}{3}\)