Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-2}\right)+\left(\frac{4}{-3}\right)\\= \frac{-7}{2}-\frac{4}{3}\\=\frac{-21}{6}-\frac{8}{6}\\=\frac{-21-8}{6}\\=\frac{-29}{6}\)
2. \(+\left(\frac{-4}{7}\right)+\left(\frac{-15}{13}\right)\\= \frac{-4}{7}-\frac{15}{13}\\=\frac{-52}{91}-\frac{105}{91}\\=\frac{-52-105}{91}\\=\frac{-157}{91}\)
3. \(+\left(\frac{-12}{5}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-12}{5}+\frac{5}{6}\\=\frac{-72}{30}+\frac{25}{30}\\=\frac{-72+25}{30}\\=\frac{-47}{30}\)
4. \(-\left(\frac{-10}{13}\right)-\left(\frac{-12}{-13}\right)\\= \frac{10}{13}-\frac{12}{13}\\=\frac{10-12}{13}\\=\frac{-2}{13}\)
5. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-14}{11}\right)\\= \frac{14}{3}-\frac{14}{11}\\=\frac{154}{33}-\frac{42}{33}\\=\frac{154-42}{33}\\=\frac{112}{33}\)
6. \(-\left(\frac{-12}{-11}\right)+\left(\frac{9}{-8}\right)\\= \frac{-12}{11}-\frac{9}{8}\\=\frac{-96}{88}-\frac{99}{88}\\=\frac{-96-99}{88}\\=\frac{-195}{88}\)
7. \(+\left(\frac{7}{-13}\right)-\left(\frac{-9}{-7}\right)\\= \frac{-7}{13}-\frac{9}{7}\\=\frac{-49}{91}-\frac{117}{91}\\=\frac{-49-117}{91}\\=\frac{-166}{91}\)
8. \(-\left(\frac{7}{-6}\right)-\left(\frac{8}{-3}\right)\\= \frac{7}{6}+\frac{8}{3}\\=\frac{7+8}{6}\\=\frac{15}{6}\\=\frac{5}{2}\)
9. \(+\left(\frac{13}{-12}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-13}{12}-\frac{9}{4}\\=\frac{-13-9}{12}\\=\frac{-22}{12}\\=\frac{-11}{6}\)
10. \(+\left(\frac{14}{9}\right)+\left(\frac{5}{13}\right)\\= \frac{14}{9}+\frac{5}{13}\\=\frac{182}{117}+\frac{45}{117}\\=\frac{182+45}{117}\\=\frac{227}{117}\)
11. \(+\left(\frac{-14}{-13}\right)+\left(\frac{7}{5}\right)\\= \frac{14}{13}+\frac{7}{5}\\=\frac{70}{65}+\frac{91}{65}\\=\frac{70+91}{65}\\=\frac{161}{65}\)
12. \(-\left(\frac{-10}{-13}\right)+\left(\frac{-3}{13}\right)\\= \frac{-10}{13}-\frac{3}{13}\\=\frac{-10-3}{13}\\=\frac{-13}{13}\\=\frac{-1}{1}\)