Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{2}\right)-\left(\frac{3}{14}\right)\\= \frac{-7}{2}-\frac{3}{14}\\=\frac{-49}{14}-\frac{3}{14}\\=\frac{-49-3}{14}\\=\frac{-52}{14}\\=\frac{-26}{7}\)
2. \(-\left(\frac{8}{-7}\right)-\left(\frac{-14}{-5}\right)\\= \frac{8}{7}-\frac{14}{5}\\=\frac{40}{35}-\frac{98}{35}\\=\frac{40-98}{35}\\=\frac{-58}{35}\)
3. \(+\left(\frac{10}{-9}\right)-\left(\frac{15}{-8}\right)\\= \frac{-10}{9}+\frac{15}{8}\\=\frac{-80}{72}+\frac{135}{72}\\=\frac{-80+135}{72}\\=\frac{55}{72}\)
4. \(+\left(\frac{-9}{11}\right)-\left(\frac{-15}{-13}\right)\\= \frac{-9}{11}-\frac{15}{13}\\=\frac{-117}{143}-\frac{165}{143}\\=\frac{-117-165}{143}\\=\frac{-282}{143}\)
5. \(-\left(\frac{6}{-7}\right)-\left(\frac{4}{-13}\right)\\= \frac{6}{7}+\frac{4}{13}\\=\frac{78}{91}+\frac{28}{91}\\=\frac{78+28}{91}\\=\frac{106}{91}\)
6. \(+\left(\frac{14}{9}\right)-\left(\frac{-5}{3}\right)\\= \frac{14}{9}+\frac{5}{3}\\=\frac{14+5}{9}\\=\frac{19}{9}\)
7. \(-\left(\frac{14}{-5}\right)-\left(\frac{-10}{-9}\right)\\= \frac{14}{5}-\frac{10}{9}\\=\frac{126}{45}-\frac{50}{45}\\=\frac{126-50}{45}\\=\frac{76}{45}\)
8. \(-\left(\frac{2}{-11}\right)-\left(\frac{-15}{7}\right)\\= \frac{2}{11}+\frac{15}{7}\\=\frac{14}{77}+\frac{165}{77}\\=\frac{14+165}{77}\\=\frac{179}{77}\)
9. \(+\left(\frac{-3}{14}\right)+\left(\frac{-4}{-5}\right)\\= \frac{-3}{14}+\frac{4}{5}\\=\frac{-15}{70}+\frac{56}{70}\\=\frac{-15+56}{70}\\=\frac{41}{70}\)
10. \(+\left(\frac{-6}{-7}\right)+\left(\frac{13}{-2}\right)\\= \frac{6}{7}-\frac{13}{2}\\=\frac{12}{14}-\frac{91}{14}\\=\frac{12-91}{14}\\=\frac{-79}{14}\)
11. \(+\left(\frac{-13}{5}\right)+\left(\frac{-5}{-12}\right)\\= \frac{-13}{5}+\frac{5}{12}\\=\frac{-156}{60}+\frac{25}{60}\\=\frac{-156+25}{60}\\=\frac{-131}{60}\)
12. \(+\left(\frac{-2}{-7}\right)+\left(\frac{7}{4}\right)\\= \frac{2}{7}+\frac{7}{4}\\=\frac{8}{28}+\frac{49}{28}\\=\frac{8+49}{28}\\=\frac{57}{28}\)