Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-12}\right)-\left(\frac{13}{-2}\right)\\= \frac{11}{12}+\frac{13}{2}\\=\frac{11+13}{12}\\=\frac{24}{12}\\=\frac{2}{1}\)
2. \(-\left(\frac{11}{-10}\right)-\left(\frac{-10}{-3}\right)\\= \frac{11}{10}-\frac{10}{3}\\=\frac{33}{30}-\frac{100}{30}\\=\frac{33-100}{30}\\=\frac{-67}{30}\)
3. \(-\left(\frac{-7}{13}\right)+\left(\frac{-10}{7}\right)\\= \frac{7}{13}-\frac{10}{7}\\=\frac{49}{91}-\frac{130}{91}\\=\frac{49-130}{91}\\=\frac{-81}{91}\)
4. \(-\left(\frac{-5}{8}\right)+\left(\frac{8}{-5}\right)\\= \frac{5}{8}-\frac{8}{5}\\=\frac{25}{40}-\frac{64}{40}\\=\frac{25-64}{40}\\=\frac{-39}{40}\)
5. \(+\left(\frac{-10}{9}\right)+\left(\frac{11}{5}\right)\\= \frac{-10}{9}+\frac{11}{5}\\=\frac{-50}{45}+\frac{99}{45}\\=\frac{-50+99}{45}\\=\frac{49}{45}\)
6. \(+\left(\frac{-11}{14}\right)-\left(\frac{-13}{5}\right)\\= \frac{-11}{14}+\frac{13}{5}\\=\frac{-55}{70}+\frac{182}{70}\\=\frac{-55+182}{70}\\=\frac{127}{70}\)
7. \(+\left(\frac{-9}{7}\right)+\left(\frac{13}{-4}\right)\\= \frac{-9}{7}-\frac{13}{4}\\=\frac{-36}{28}-\frac{91}{28}\\=\frac{-36-91}{28}\\=\frac{-127}{28}\)
8. \(-\left(\frac{-14}{-9}\right)-\left(\frac{12}{-11}\right)\\= \frac{-14}{9}+\frac{12}{11}\\=\frac{-154}{99}+\frac{108}{99}\\=\frac{-154+108}{99}\\=\frac{-46}{99}\)
9. \(+\left(\frac{7}{8}\right)+\left(\frac{-2}{-3}\right)\\= \frac{7}{8}+\frac{2}{3}\\=\frac{21}{24}+\frac{16}{24}\\=\frac{21+16}{24}\\=\frac{37}{24}\)
10. \(+\left(\frac{-11}{-9}\right)-\left(\frac{-7}{3}\right)\\= \frac{11}{9}+\frac{7}{3}\\=\frac{11+7}{9}\\=\frac{18}{9}\\=\frac{2}{1}\)
11. \(-\left(\frac{-6}{5}\right)-\left(\frac{-12}{11}\right)\\= \frac{6}{5}+\frac{12}{11}\\=\frac{66}{55}+\frac{60}{55}\\=\frac{66+60}{55}\\=\frac{126}{55}\)
12. \(-\left(\frac{6}{5}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-6}{5}+\frac{12}{11}\\=\frac{-66}{55}+\frac{60}{55}\\=\frac{-66+60}{55}\\=\frac{-6}{55}\)