Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{-5}\right)+\left(\frac{3}{5}\right)\\= \frac{-12}{5}+\frac{3}{5}\\=\frac{-12+3}{5}\\=\frac{-9}{5}\)
2. \(+\left(\frac{7}{-10}\right)-\left(\frac{-5}{-9}\right)\\= \frac{-7}{10}-\frac{5}{9}\\=\frac{-63}{90}-\frac{50}{90}\\=\frac{-63-50}{90}\\=\frac{-113}{90}\)
3. \(+\left(\frac{5}{-6}\right)+\left(\frac{6}{-13}\right)\\= \frac{-5}{6}-\frac{6}{13}\\=\frac{-65}{78}-\frac{36}{78}\\=\frac{-65-36}{78}\\=\frac{-101}{78}\)
4. \(-\left(\frac{6}{-11}\right)-\left(\frac{-6}{11}\right)\\= \frac{6}{11}+\frac{6}{11}\\=\frac{6+6}{11}\\=\frac{12}{11}\)
5. \(-\left(\frac{-11}{-14}\right)+\left(\frac{-15}{4}\right)\\= \frac{-11}{14}-\frac{15}{4}\\=\frac{-22}{28}-\frac{105}{28}\\=\frac{-22-105}{28}\\=\frac{-127}{28}\)
6. \(-\left(\frac{3}{13}\right)+\left(\frac{15}{-14}\right)\\= \frac{-3}{13}-\frac{15}{14}\\=\frac{-42}{182}-\frac{195}{182}\\=\frac{-42-195}{182}\\=\frac{-237}{182}\)
7. \(+\left(\frac{-7}{8}\right)+\left(\frac{-9}{-7}\right)\\= \frac{-7}{8}+\frac{9}{7}\\=\frac{-49}{56}+\frac{72}{56}\\=\frac{-49+72}{56}\\=\frac{23}{56}\)
8. \(+\left(\frac{8}{5}\right)+\left(\frac{9}{7}\right)\\= \frac{8}{5}+\frac{9}{7}\\=\frac{56}{35}+\frac{45}{35}\\=\frac{56+45}{35}\\=\frac{101}{35}\)
9. \(+\left(\frac{15}{13}\right)+\left(\frac{-3}{11}\right)\\= \frac{15}{13}-\frac{3}{11}\\=\frac{165}{143}-\frac{39}{143}\\=\frac{165-39}{143}\\=\frac{126}{143}\)
10. \(+\left(\frac{-13}{-5}\right)+\left(\frac{7}{-10}\right)\\= \frac{13}{5}-\frac{7}{10}\\=\frac{26}{10}-\frac{7}{10}\\=\frac{26-7}{10}\\=\frac{19}{10}\)
11. \(+\left(\frac{-4}{3}\right)-\left(\frac{-14}{9}\right)\\= \frac{-4}{3}+\frac{14}{9}\\=\frac{-12}{9}+\frac{14}{9}\\=\frac{-12+14}{9}\\=\frac{2}{9}\)
12. \(-\left(\frac{8}{-11}\right)+\left(\frac{6}{-7}\right)\\= \frac{8}{11}-\frac{6}{7}\\=\frac{56}{77}-\frac{66}{77}\\=\frac{56-66}{77}\\=\frac{-10}{77}\)