Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-2}\right)-\left(\frac{15}{13}\right)\\= \frac{-7}{2}-\frac{15}{13}\\=\frac{-91}{26}-\frac{30}{26}\\=\frac{-91-30}{26}\\=\frac{-121}{26}\)
2. \(-\left(\frac{3}{10}\right)+\left(\frac{10}{-3}\right)\\= \frac{-3}{10}-\frac{10}{3}\\=\frac{-9}{30}-\frac{100}{30}\\=\frac{-9-100}{30}\\=\frac{-109}{30}\)
3. \(+\left(\frac{7}{2}\right)+\left(\frac{-14}{-11}\right)\\= \frac{7}{2}+\frac{14}{11}\\=\frac{77}{22}+\frac{28}{22}\\=\frac{77+28}{22}\\=\frac{105}{22}\)
4. \(-\left(\frac{-8}{3}\right)+\left(\frac{-11}{-12}\right)\\= \frac{8}{3}+\frac{11}{12}\\=\frac{32}{12}+\frac{11}{12}\\=\frac{32+11}{12}\\=\frac{43}{12}\)
5. \(-\left(\frac{12}{-7}\right)-\left(\frac{2}{-13}\right)\\= \frac{12}{7}+\frac{2}{13}\\=\frac{156}{91}+\frac{14}{91}\\=\frac{156+14}{91}\\=\frac{170}{91}\)
6. \(-\left(\frac{14}{3}\right)-\left(\frac{-3}{13}\right)\\= \frac{-14}{3}+\frac{3}{13}\\=\frac{-182}{39}+\frac{9}{39}\\=\frac{-182+9}{39}\\=\frac{-173}{39}\)
7. \(+\left(\frac{-14}{-5}\right)+\left(\frac{-10}{3}\right)\\= \frac{14}{5}-\frac{10}{3}\\=\frac{42}{15}-\frac{50}{15}\\=\frac{42-50}{15}\\=\frac{-8}{15}\)
8. \(+\left(\frac{5}{6}\right)+\left(\frac{-6}{-5}\right)\\= \frac{5}{6}+\frac{6}{5}\\=\frac{25}{30}+\frac{36}{30}\\=\frac{25+36}{30}\\=\frac{61}{30}\)
9. \(+\left(\frac{6}{11}\right)-\left(\frac{-7}{9}\right)\\= \frac{6}{11}+\frac{7}{9}\\=\frac{54}{99}+\frac{77}{99}\\=\frac{54+77}{99}\\=\frac{131}{99}\)
10. \(+\left(\frac{-7}{-10}\right)+\left(\frac{-15}{-7}\right)\\= \frac{7}{10}+\frac{15}{7}\\=\frac{49}{70}+\frac{150}{70}\\=\frac{49+150}{70}\\=\frac{199}{70}\)
11. \(-\left(\frac{-13}{-4}\right)+\left(\frac{-12}{11}\right)\\= \frac{-13}{4}-\frac{12}{11}\\=\frac{-143}{44}-\frac{48}{44}\\=\frac{-143-48}{44}\\=\frac{-191}{44}\)
12. \(+\left(\frac{-10}{9}\right)-\left(\frac{5}{14}\right)\\= \frac{-10}{9}-\frac{5}{14}\\=\frac{-140}{126}-\frac{45}{126}\\=\frac{-140-45}{126}\\=\frac{-185}{126}\)