Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{-10}\right)-\left(\frac{-9}{8}\right)\\= \frac{-3}{10}+\frac{9}{8}\\=\frac{-12}{40}+\frac{45}{40}\\=\frac{-12+45}{40}\\=\frac{33}{40}\)
2. \(-\left(\frac{5}{7}\right)-\left(\frac{10}{-3}\right)\\= \frac{-5}{7}+\frac{10}{3}\\=\frac{-15}{21}+\frac{70}{21}\\=\frac{-15+70}{21}\\=\frac{55}{21}\)
3. \(+\left(\frac{-4}{-11}\right)-\left(\frac{12}{5}\right)\\= \frac{4}{11}-\frac{12}{5}\\=\frac{20}{55}-\frac{132}{55}\\=\frac{20-132}{55}\\=\frac{-112}{55}\)
4. \(-\left(\frac{-11}{5}\right)+\left(\frac{14}{-3}\right)\\= \frac{11}{5}-\frac{14}{3}\\=\frac{33}{15}-\frac{70}{15}\\=\frac{33-70}{15}\\=\frac{-37}{15}\)
5. \(+\left(\frac{14}{-11}\right)+\left(\frac{10}{3}\right)\\= \frac{-14}{11}+\frac{10}{3}\\=\frac{-42}{33}+\frac{110}{33}\\=\frac{-42+110}{33}\\=\frac{68}{33}\)
6. \(-\left(\frac{3}{-7}\right)-\left(\frac{-13}{2}\right)\\= \frac{3}{7}+\frac{13}{2}\\=\frac{6}{14}+\frac{91}{14}\\=\frac{6+91}{14}\\=\frac{97}{14}\)
7. \(+\left(\frac{-5}{6}\right)-\left(\frac{13}{5}\right)\\= \frac{-5}{6}-\frac{13}{5}\\=\frac{-25}{30}-\frac{78}{30}\\=\frac{-25-78}{30}\\=\frac{-103}{30}\)
8. \(-\left(\frac{6}{11}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-6}{11}+\frac{6}{11}\\=\frac{-6+6}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
9. \(+\left(\frac{2}{7}\right)+\left(\frac{-2}{11}\right)\\= \frac{2}{7}-\frac{2}{11}\\=\frac{22}{77}-\frac{14}{77}\\=\frac{22-14}{77}\\=\frac{8}{77}\)
10. \(+\left(\frac{14}{-5}\right)+\left(\frac{-5}{-2}\right)\\= \frac{-14}{5}+\frac{5}{2}\\=\frac{-28}{10}+\frac{25}{10}\\=\frac{-28+25}{10}\\=\frac{-3}{10}\)
11. \(+\left(\frac{-12}{11}\right)+\left(\frac{3}{14}\right)\\= \frac{-12}{11}+\frac{3}{14}\\=\frac{-168}{154}+\frac{33}{154}\\=\frac{-168+33}{154}\\=\frac{-135}{154}\)
12. \(+\left(\frac{-13}{-4}\right)+\left(\frac{-7}{-8}\right)\\= \frac{13}{4}+\frac{7}{8}\\=\frac{26}{8}+\frac{7}{8}\\=\frac{26+7}{8}\\=\frac{33}{8}\)