Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{5}\right)-\left(\frac{13}{-9}\right)\\= \frac{-11}{5}+\frac{13}{9}\\=\frac{-99}{45}+\frac{65}{45}\\=\frac{-99+65}{45}\\=\frac{-34}{45}\)
2. \(+\left(\frac{-5}{7}\right)+\left(\frac{9}{5}\right)\\= \frac{-5}{7}+\frac{9}{5}\\=\frac{-25}{35}+\frac{63}{35}\\=\frac{-25+63}{35}\\=\frac{38}{35}\)
3. \(-\left(\frac{5}{11}\right)-\left(\frac{2}{11}\right)\\= \frac{-5}{11}-\frac{2}{11}\\=\frac{-5-2}{11}\\=\frac{-7}{11}\)
4. \(+\left(\frac{-10}{11}\right)-\left(\frac{4}{9}\right)\\= \frac{-10}{11}-\frac{4}{9}\\=\frac{-90}{99}-\frac{44}{99}\\=\frac{-90-44}{99}\\=\frac{-134}{99}\)
5. \(-\left(\frac{-6}{5}\right)+\left(\frac{9}{4}\right)\\= \frac{6}{5}+\frac{9}{4}\\=\frac{24}{20}+\frac{45}{20}\\=\frac{24+45}{20}\\=\frac{69}{20}\)
6. \(+\left(\frac{-10}{-7}\right)+\left(\frac{11}{-3}\right)\\= \frac{10}{7}-\frac{11}{3}\\=\frac{30}{21}-\frac{77}{21}\\=\frac{30-77}{21}\\=\frac{-47}{21}\)
7. \(+\left(\frac{-5}{-11}\right)-\left(\frac{10}{-9}\right)\\= \frac{5}{11}+\frac{10}{9}\\=\frac{45}{99}+\frac{110}{99}\\=\frac{45+110}{99}\\=\frac{155}{99}\)
8. \(-\left(\frac{9}{-14}\right)+\left(\frac{3}{-7}\right)\\= \frac{9}{14}-\frac{3}{7}\\=\frac{9-3}{14}\\=\frac{6}{14}\\=\frac{3}{7}\)
9. \(+\left(\frac{5}{6}\right)+\left(\frac{-8}{13}\right)\\= \frac{5}{6}-\frac{8}{13}\\=\frac{65}{78}-\frac{48}{78}\\=\frac{65-48}{78}\\=\frac{17}{78}\)
10. \(+\left(\frac{-2}{5}\right)-\left(\frac{12}{5}\right)\\= \frac{-2}{5}-\frac{12}{5}\\=\frac{-2-12}{5}\\=\frac{-14}{5}\)
11. \(-\left(\frac{-9}{-10}\right)-\left(\frac{8}{-7}\right)\\= \frac{-9}{10}+\frac{8}{7}\\=\frac{-63}{70}+\frac{80}{70}\\=\frac{-63+80}{70}\\=\frac{17}{70}\)
12. \(+\left(\frac{-9}{-13}\right)-\left(\frac{7}{6}\right)\\= \frac{9}{13}-\frac{7}{6}\\=\frac{54}{78}-\frac{91}{78}\\=\frac{54-91}{78}\\=\frac{-37}{78}\)