Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{-13}\right)-\left(\frac{12}{5}\right)\\= \frac{9}{13}-\frac{12}{5}\\=\frac{45}{65}-\frac{156}{65}\\=\frac{45-156}{65}\\=\frac{-111}{65}\)
2. \(-\left(\frac{-9}{14}\right)+\left(\frac{-11}{5}\right)\\= \frac{9}{14}-\frac{11}{5}\\=\frac{45}{70}-\frac{154}{70}\\=\frac{45-154}{70}\\=\frac{-109}{70}\)
3. \(-\left(\frac{-2}{-7}\right)-\left(\frac{7}{-3}\right)\\= \frac{-2}{7}+\frac{7}{3}\\=\frac{-6}{21}+\frac{49}{21}\\=\frac{-6+49}{21}\\=\frac{43}{21}\)
4. \(+\left(\frac{-3}{-11}\right)+\left(\frac{-3}{7}\right)\\= \frac{3}{11}-\frac{3}{7}\\=\frac{21}{77}-\frac{33}{77}\\=\frac{21-33}{77}\\=\frac{-12}{77}\)
5. \(+\left(\frac{-5}{-13}\right)-\left(\frac{7}{-2}\right)\\= \frac{5}{13}+\frac{7}{2}\\=\frac{10}{26}+\frac{91}{26}\\=\frac{10+91}{26}\\=\frac{101}{26}\)
6. \(+\left(\frac{-4}{9}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-4}{9}-\frac{4}{3}\\=\frac{-4-4}{9}\\=\frac{-8}{9}\)
7. \(-\left(\frac{-14}{-11}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-14}{11}-\frac{15}{4}\\=\frac{-56}{44}-\frac{165}{44}\\=\frac{-56-165}{44}\\=\frac{-221}{44}\)
8. \(+\left(\frac{-4}{3}\right)+\left(\frac{-13}{5}\right)\\= \frac{-4}{3}-\frac{13}{5}\\=\frac{-20}{15}-\frac{39}{15}\\=\frac{-20-39}{15}\\=\frac{-59}{15}\)
9. \(+\left(\frac{10}{3}\right)-\left(\frac{-3}{-13}\right)\\= \frac{10}{3}-\frac{3}{13}\\=\frac{130}{39}-\frac{9}{39}\\=\frac{130-9}{39}\\=\frac{121}{39}\)
10. \(+\left(\frac{8}{-9}\right)-\left(\frac{9}{13}\right)\\= \frac{-8}{9}-\frac{9}{13}\\=\frac{-104}{117}-\frac{81}{117}\\=\frac{-104-81}{117}\\=\frac{-185}{117}\)
11. \(+\left(\frac{-8}{-7}\right)+\left(\frac{12}{-13}\right)\\= \frac{8}{7}-\frac{12}{13}\\=\frac{104}{91}-\frac{84}{91}\\=\frac{104-84}{91}\\=\frac{20}{91}\)
12. \(+\left(\frac{-13}{-10}\right)-\left(\frac{-7}{3}\right)\\= \frac{13}{10}+\frac{7}{3}\\=\frac{39}{30}+\frac{70}{30}\\=\frac{39+70}{30}\\=\frac{109}{30}\)