Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{5}\right)+\left(\frac{-3}{-4}\right)\\= \frac{-12}{5}+\frac{3}{4}\\=\frac{-48}{20}+\frac{15}{20}\\=\frac{-48+15}{20}\\=\frac{-33}{20}\)
2. \(+\left(\frac{-5}{8}\right)+\left(\frac{8}{-7}\right)\\= \frac{-5}{8}-\frac{8}{7}\\=\frac{-35}{56}-\frac{64}{56}\\=\frac{-35-64}{56}\\=\frac{-99}{56}\)
3. \(+\left(\frac{-5}{-13}\right)+\left(\frac{-8}{9}\right)\\= \frac{5}{13}-\frac{8}{9}\\=\frac{45}{117}-\frac{104}{117}\\=\frac{45-104}{117}\\=\frac{-59}{117}\)
4. \(+\left(\frac{6}{-11}\right)-\left(\frac{-7}{-2}\right)\\= \frac{-6}{11}-\frac{7}{2}\\=\frac{-12}{22}-\frac{77}{22}\\=\frac{-12-77}{22}\\=\frac{-89}{22}\)
5. \(-\left(\frac{-14}{3}\right)-\left(\frac{-2}{-9}\right)\\= \frac{14}{3}-\frac{2}{9}\\=\frac{42}{9}-\frac{2}{9}\\=\frac{42-2}{9}\\=\frac{40}{9}\)
6. \(-\left(\frac{14}{9}\right)+\left(\frac{-13}{-7}\right)\\= \frac{-14}{9}+\frac{13}{7}\\=\frac{-98}{63}+\frac{117}{63}\\=\frac{-98+117}{63}\\=\frac{19}{63}\)
7. \(+\left(\frac{5}{12}\right)-\left(\frac{9}{11}\right)\\= \frac{5}{12}-\frac{9}{11}\\=\frac{55}{132}-\frac{108}{132}\\=\frac{55-108}{132}\\=\frac{-53}{132}\)
8. \(+\left(\frac{6}{-11}\right)+\left(\frac{-3}{-2}\right)\\= \frac{-6}{11}+\frac{3}{2}\\=\frac{-12}{22}+\frac{33}{22}\\=\frac{-12+33}{22}\\=\frac{21}{22}\)
9. \(+\left(\frac{12}{5}\right)+\left(\frac{5}{9}\right)\\= \frac{12}{5}+\frac{5}{9}\\=\frac{108}{45}+\frac{25}{45}\\=\frac{108+25}{45}\\=\frac{133}{45}\)
10. \(-\left(\frac{9}{13}\right)-\left(\frac{10}{7}\right)\\= \frac{-9}{13}-\frac{10}{7}\\=\frac{-63}{91}-\frac{130}{91}\\=\frac{-63-130}{91}\\=\frac{-193}{91}\)
11. \(-\left(\frac{-11}{9}\right)+\left(\frac{4}{11}\right)\\= \frac{11}{9}+\frac{4}{11}\\=\frac{121}{99}+\frac{36}{99}\\=\frac{121+36}{99}\\=\frac{157}{99}\)
12. \(+\left(\frac{-14}{-3}\right)-\left(\frac{-5}{6}\right)\\= \frac{14}{3}+\frac{5}{6}\\=\frac{28}{6}+\frac{5}{6}\\=\frac{28+5}{6}\\=\frac{33}{6}\\=\frac{11}{2}\)