Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{13}\right)+\left(\frac{15}{-7}\right)\\= \frac{-3}{13}-\frac{15}{7}\\=\frac{-21}{91}-\frac{195}{91}\\=\frac{-21-195}{91}\\=\frac{-216}{91}\)
2. \(+\left(\frac{-13}{6}\right)+\left(\frac{-2}{-3}\right)\\= \frac{-13}{6}+\frac{2}{3}\\=\frac{-13+2}{6}\\=\frac{-11}{6}\)
3. \(-\left(\frac{-7}{-8}\right)-\left(\frac{13}{-2}\right)\\= \frac{-7}{8}+\frac{13}{2}\\=\frac{-7+13}{8}\\=\frac{6}{8}\\=\frac{3}{4}\)
4. \(-\left(\frac{-7}{-12}\right)+\left(\frac{7}{-10}\right)\\= \frac{-7}{12}-\frac{7}{10}\\=\frac{-35}{60}-\frac{42}{60}\\=\frac{-35-42}{60}\\=\frac{-77}{60}\)
5. \(+\left(\frac{12}{-13}\right)+\left(\frac{-3}{-11}\right)\\= \frac{-12}{13}+\frac{3}{11}\\=\frac{-132}{143}+\frac{39}{143}\\=\frac{-132+39}{143}\\=\frac{-93}{143}\)
6. \(+\left(\frac{14}{-11}\right)-\left(\frac{14}{-11}\right)\\= \frac{-14}{11}+\frac{14}{11}\\=\frac{-14+14}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
7. \(-\left(\frac{11}{3}\right)+\left(\frac{-5}{-13}\right)\\= \frac{-11}{3}+\frac{5}{13}\\=\frac{-143}{39}+\frac{15}{39}\\=\frac{-143+15}{39}\\=\frac{-128}{39}\)
8. \(-\left(\frac{2}{-3}\right)+\left(\frac{3}{4}\right)\\= \frac{2}{3}+\frac{3}{4}\\=\frac{8}{12}+\frac{9}{12}\\=\frac{8+9}{12}\\=\frac{17}{12}\)
9. \(-\left(\frac{-9}{13}\right)-\left(\frac{-13}{3}\right)\\= \frac{9}{13}+\frac{13}{3}\\=\frac{27}{39}+\frac{169}{39}\\=\frac{27+169}{39}\\=\frac{196}{39}\)
10. \(+\left(\frac{-6}{-11}\right)+\left(\frac{-5}{11}\right)\\= \frac{6}{11}-\frac{5}{11}\\=\frac{6-5}{11}\\=\frac{1}{11}\)
11. \(+\left(\frac{11}{6}\right)-\left(\frac{-6}{5}\right)\\= \frac{11}{6}+\frac{6}{5}\\=\frac{55}{30}+\frac{36}{30}\\=\frac{55+36}{30}\\=\frac{91}{30}\)
12. \(-\left(\frac{3}{-14}\right)+\left(\frac{4}{5}\right)\\= \frac{3}{14}+\frac{4}{5}\\=\frac{15}{70}+\frac{56}{70}\\=\frac{15+56}{70}\\=\frac{71}{70}\)