Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{-3}\right)+\left(\frac{-9}{2}\right)\\= \frac{-10}{3}-\frac{9}{2}\\=\frac{-20}{6}-\frac{27}{6}\\=\frac{-20-27}{6}\\=\frac{-47}{6}\)
2. \(+\left(\frac{-13}{-4}\right)+\left(\frac{9}{8}\right)\\= \frac{13}{4}+\frac{9}{8}\\=\frac{26}{8}+\frac{9}{8}\\=\frac{26+9}{8}\\=\frac{35}{8}\)
3. \(-\left(\frac{5}{12}\right)+\left(\frac{-8}{3}\right)\\= \frac{-5}{12}-\frac{8}{3}\\=\frac{-5-8}{12}\\=\frac{-13}{12}\)
4. \(+\left(\frac{-10}{-3}\right)-\left(\frac{-2}{5}\right)\\= \frac{10}{3}+\frac{2}{5}\\=\frac{50}{15}+\frac{6}{15}\\=\frac{50+6}{15}\\=\frac{56}{15}\)
5. \(-\left(\frac{13}{-12}\right)-\left(\frac{8}{11}\right)\\= \frac{13}{12}-\frac{8}{11}\\=\frac{143}{132}-\frac{96}{132}\\=\frac{143-96}{132}\\=\frac{47}{132}\)
6. \(+\left(\frac{12}{5}\right)+\left(\frac{9}{7}\right)\\= \frac{12}{5}+\frac{9}{7}\\=\frac{84}{35}+\frac{45}{35}\\=\frac{84+45}{35}\\=\frac{129}{35}\)
7. \(+\left(\frac{12}{-13}\right)+\left(\frac{11}{-3}\right)\\= \frac{-12}{13}-\frac{11}{3}\\=\frac{-36}{39}-\frac{143}{39}\\=\frac{-36-143}{39}\\=\frac{-179}{39}\)
8. \(+\left(\frac{-9}{8}\right)-\left(\frac{-7}{13}\right)\\= \frac{-9}{8}+\frac{7}{13}\\=\frac{-117}{104}+\frac{56}{104}\\=\frac{-117+56}{104}\\=\frac{-61}{104}\)
9. \(-\left(\frac{-3}{5}\right)+\left(\frac{11}{-4}\right)\\= \frac{3}{5}-\frac{11}{4}\\=\frac{12}{20}-\frac{55}{20}\\=\frac{12-55}{20}\\=\frac{-43}{20}\)
10. \(+\left(\frac{-13}{14}\right)+\left(\frac{10}{9}\right)\\= \frac{-13}{14}+\frac{10}{9}\\=\frac{-117}{126}+\frac{140}{126}\\=\frac{-117+140}{126}\\=\frac{23}{126}\)
11. \(-\left(\frac{-15}{13}\right)-\left(\frac{10}{-13}\right)\\= \frac{15}{13}+\frac{10}{13}\\=\frac{15+10}{13}\\=\frac{25}{13}\)
12. \(+\left(\frac{-13}{-4}\right)-\left(\frac{-13}{-9}\right)\\= \frac{13}{4}-\frac{13}{9}\\=\frac{117}{36}-\frac{52}{36}\\=\frac{117-52}{36}\\=\frac{65}{36}\)