Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{-10}\right)-\left(\frac{-14}{-3}\right)\\= \frac{-3}{10}-\frac{14}{3}\\=\frac{-9}{30}-\frac{140}{30}\\=\frac{-9-140}{30}\\=\frac{-149}{30}\)
2. \(-\left(\frac{-10}{7}\right)+\left(\frac{3}{7}\right)\\= \frac{10}{7}+\frac{3}{7}\\=\frac{10+3}{7}\\=\frac{13}{7}\)
3. \(+\left(\frac{13}{-2}\right)-\left(\frac{12}{7}\right)\\= \frac{-13}{2}-\frac{12}{7}\\=\frac{-91}{14}-\frac{24}{14}\\=\frac{-91-24}{14}\\=\frac{-115}{14}\)
4. \(-\left(\frac{-9}{-14}\right)-\left(\frac{6}{5}\right)\\= \frac{-9}{14}-\frac{6}{5}\\=\frac{-45}{70}-\frac{84}{70}\\=\frac{-45-84}{70}\\=\frac{-129}{70}\)
5. \(-\left(\frac{11}{5}\right)-\left(\frac{2}{7}\right)\\= \frac{-11}{5}-\frac{2}{7}\\=\frac{-77}{35}-\frac{10}{35}\\=\frac{-77-10}{35}\\=\frac{-87}{35}\)
6. \(+\left(\frac{-7}{-8}\right)-\left(\frac{10}{-11}\right)\\= \frac{7}{8}+\frac{10}{11}\\=\frac{77}{88}+\frac{80}{88}\\=\frac{77+80}{88}\\=\frac{157}{88}\)
7. \(+\left(\frac{12}{5}\right)+\left(\frac{4}{3}\right)\\= \frac{12}{5}+\frac{4}{3}\\=\frac{36}{15}+\frac{20}{15}\\=\frac{36+20}{15}\\=\frac{56}{15}\)
8. \(+\left(\frac{13}{-7}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-13}{7}+\frac{14}{9}\\=\frac{-117}{63}+\frac{98}{63}\\=\frac{-117+98}{63}\\=\frac{-19}{63}\)
9. \(-\left(\frac{8}{3}\right)+\left(\frac{7}{3}\right)\\= \frac{-8}{3}+\frac{7}{3}\\=\frac{-8+7}{3}\\=\frac{-1}{3}\)
10. \(-\left(\frac{-5}{7}\right)-\left(\frac{6}{-11}\right)\\= \frac{5}{7}+\frac{6}{11}\\=\frac{55}{77}+\frac{42}{77}\\=\frac{55+42}{77}\\=\frac{97}{77}\)
11. \(-\left(\frac{-4}{-5}\right)-\left(\frac{-7}{12}\right)\\= \frac{-4}{5}+\frac{7}{12}\\=\frac{-48}{60}+\frac{35}{60}\\=\frac{-48+35}{60}\\=\frac{-13}{60}\)
12. \(+\left(\frac{-12}{-11}\right)+\left(\frac{6}{11}\right)\\= \frac{12}{11}+\frac{6}{11}\\=\frac{12+6}{11}\\=\frac{18}{11}\)