Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{-9}\right)+\left(\frac{6}{5}\right)\\= \frac{7}{9}+\frac{6}{5}\\=\frac{35}{45}+\frac{54}{45}\\=\frac{35+54}{45}\\=\frac{89}{45}\)
2. \(+\left(\frac{14}{9}\right)+\left(\frac{3}{-14}\right)\\= \frac{14}{9}-\frac{3}{14}\\=\frac{196}{126}-\frac{27}{126}\\=\frac{196-27}{126}\\=\frac{169}{126}\)
3. \(+\left(\frac{8}{13}\right)-\left(\frac{-6}{-7}\right)\\= \frac{8}{13}-\frac{6}{7}\\=\frac{56}{91}-\frac{78}{91}\\=\frac{56-78}{91}\\=\frac{-22}{91}\)
4. \(+\left(\frac{13}{9}\right)+\left(\frac{10}{7}\right)\\= \frac{13}{9}+\frac{10}{7}\\=\frac{91}{63}+\frac{90}{63}\\=\frac{91+90}{63}\\=\frac{181}{63}\)
5. \(+\left(\frac{6}{-5}\right)+\left(\frac{-2}{-9}\right)\\= \frac{-6}{5}+\frac{2}{9}\\=\frac{-54}{45}+\frac{10}{45}\\=\frac{-54+10}{45}\\=\frac{-44}{45}\)
6. \(+\left(\frac{-8}{-3}\right)-\left(\frac{12}{-5}\right)\\= \frac{8}{3}+\frac{12}{5}\\=\frac{40}{15}+\frac{36}{15}\\=\frac{40+36}{15}\\=\frac{76}{15}\)
7. \(+\left(\frac{2}{-11}\right)+\left(\frac{5}{-6}\right)\\= \frac{-2}{11}-\frac{5}{6}\\=\frac{-12}{66}-\frac{55}{66}\\=\frac{-12-55}{66}\\=\frac{-67}{66}\)
8. \(-\left(\frac{7}{8}\right)-\left(\frac{2}{3}\right)\\= \frac{-7}{8}-\frac{2}{3}\\=\frac{-21}{24}-\frac{16}{24}\\=\frac{-21-16}{24}\\=\frac{-37}{24}\)
9. \(+\left(\frac{-3}{-14}\right)+\left(\frac{-6}{5}\right)\\= \frac{3}{14}-\frac{6}{5}\\=\frac{15}{70}-\frac{84}{70}\\=\frac{15-84}{70}\\=\frac{-69}{70}\)
10. \(-\left(\frac{-11}{2}\right)+\left(\frac{11}{4}\right)\\= \frac{11}{2}+\frac{11}{4}\\=\frac{22}{4}+\frac{11}{4}\\=\frac{22+11}{4}\\=\frac{33}{4}\)
11. \(+\left(\frac{2}{-3}\right)+\left(\frac{11}{-12}\right)\\= \frac{-2}{3}-\frac{11}{12}\\=\frac{-8}{12}-\frac{11}{12}\\=\frac{-8-11}{12}\\=\frac{-19}{12}\)
12. \(+\left(\frac{13}{-5}\right)+\left(\frac{14}{-3}\right)\\= \frac{-13}{5}-\frac{14}{3}\\=\frac{-39}{15}-\frac{70}{15}\\=\frac{-39-70}{15}\\=\frac{-109}{15}\)