Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-14}\right)-\left(\frac{-11}{8}\right)\\= \frac{-13}{14}+\frac{11}{8}\\=\frac{-52}{56}+\frac{77}{56}\\=\frac{-52+77}{56}\\=\frac{25}{56}\)
2. \(+\left(\frac{-2}{-9}\right)-\left(\frac{3}{5}\right)\\= \frac{2}{9}-\frac{3}{5}\\=\frac{10}{45}-\frac{27}{45}\\=\frac{10-27}{45}\\=\frac{-17}{45}\)
3. \(-\left(\frac{9}{-2}\right)-\left(\frac{-8}{-5}\right)\\= \frac{9}{2}-\frac{8}{5}\\=\frac{45}{10}-\frac{16}{10}\\=\frac{45-16}{10}\\=\frac{29}{10}\)
4. \(-\left(\frac{7}{-4}\right)+\left(\frac{-3}{-2}\right)\\= \frac{7}{4}+\frac{3}{2}\\=\frac{7+3}{4}\\=\frac{10}{4}\\=\frac{5}{2}\)
5. \(-\left(\frac{-10}{-11}\right)-\left(\frac{-14}{9}\right)\\= \frac{-10}{11}+\frac{14}{9}\\=\frac{-90}{99}+\frac{154}{99}\\=\frac{-90+154}{99}\\=\frac{64}{99}\)
6. \(-\left(\frac{15}{-11}\right)+\left(\frac{2}{-11}\right)\\= \frac{15}{11}-\frac{2}{11}\\=\frac{15-2}{11}\\=\frac{13}{11}\)
7. \(+\left(\frac{6}{13}\right)+\left(\frac{-4}{-11}\right)\\= \frac{6}{13}+\frac{4}{11}\\=\frac{66}{143}+\frac{52}{143}\\=\frac{66+52}{143}\\=\frac{118}{143}\)
8. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-14}{-3}\right)\\= \frac{-8}{3}+\frac{14}{3}\\=\frac{-8+14}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
9. \(-\left(\frac{7}{-13}\right)+\left(\frac{11}{7}\right)\\= \frac{7}{13}+\frac{11}{7}\\=\frac{49}{91}+\frac{143}{91}\\=\frac{49+143}{91}\\=\frac{192}{91}\)
10. \(-\left(\frac{-15}{-2}\right)+\left(\frac{2}{-11}\right)\\= \frac{-15}{2}-\frac{2}{11}\\=\frac{-165}{22}-\frac{4}{22}\\=\frac{-165-4}{22}\\=\frac{-169}{22}\)
11. \(-\left(\frac{-15}{-2}\right)+\left(\frac{15}{7}\right)\\= \frac{-15}{2}+\frac{15}{7}\\=\frac{-105}{14}+\frac{30}{14}\\=\frac{-105+30}{14}\\=\frac{-75}{14}\)
12. \(+\left(\frac{-8}{3}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-8}{3}+\frac{6}{5}\\=\frac{-40}{15}+\frac{18}{15}\\=\frac{-40+18}{15}\\=\frac{-22}{15}\)