Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{5}\right)-\left(\frac{9}{10}\right)\\= \frac{2}{5}-\frac{9}{10}\\=\frac{4}{10}-\frac{9}{10}\\=\frac{4-9}{10}\\=\frac{-5}{10}\\=\frac{-1}{2}\)
2. \(+\left(\frac{6}{11}\right)-\left(\frac{-6}{-11}\right)\\= \frac{6}{11}-\frac{6}{11}\\=\frac{6-6}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
3. \(-\left(\frac{7}{-5}\right)-\left(\frac{10}{7}\right)\\= \frac{7}{5}-\frac{10}{7}\\=\frac{49}{35}-\frac{50}{35}\\=\frac{49-50}{35}\\=\frac{-1}{35}\)
4. \(-\left(\frac{12}{5}\right)-\left(\frac{3}{4}\right)\\= \frac{-12}{5}-\frac{3}{4}\\=\frac{-48}{20}-\frac{15}{20}\\=\frac{-48-15}{20}\\=\frac{-63}{20}\)
5. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-12}{11}-\frac{12}{5}\\=\frac{-60}{55}-\frac{132}{55}\\=\frac{-60-132}{55}\\=\frac{-192}{55}\)
6. \(+\left(\frac{-8}{5}\right)+\left(\frac{11}{-4}\right)\\= \frac{-8}{5}-\frac{11}{4}\\=\frac{-32}{20}-\frac{55}{20}\\=\frac{-32-55}{20}\\=\frac{-87}{20}\)
7. \(-\left(\frac{-5}{-13}\right)+\left(\frac{12}{11}\right)\\= \frac{-5}{13}+\frac{12}{11}\\=\frac{-55}{143}+\frac{156}{143}\\=\frac{-55+156}{143}\\=\frac{101}{143}\)
8. \(+\left(\frac{-8}{-11}\right)+\left(\frac{-6}{-5}\right)\\= \frac{8}{11}+\frac{6}{5}\\=\frac{40}{55}+\frac{66}{55}\\=\frac{40+66}{55}\\=\frac{106}{55}\)
9. \(+\left(\frac{4}{-5}\right)+\left(\frac{9}{-5}\right)\\= \frac{-4}{5}-\frac{9}{5}\\=\frac{-4-9}{5}\\=\frac{-13}{5}\)
10. \(+\left(\frac{-15}{-7}\right)-\left(\frac{7}{10}\right)\\= \frac{15}{7}-\frac{7}{10}\\=\frac{150}{70}-\frac{49}{70}\\=\frac{150-49}{70}\\=\frac{101}{70}\)
11. \(-\left(\frac{4}{5}\right)-\left(\frac{-6}{5}\right)\\= \frac{-4}{5}+\frac{6}{5}\\=\frac{-4+6}{5}\\=\frac{2}{5}\)
12. \(-\left(\frac{-5}{6}\right)-\left(\frac{15}{14}\right)\\= \frac{5}{6}-\frac{15}{14}\\=\frac{35}{42}-\frac{45}{42}\\=\frac{35-45}{42}\\=\frac{-10}{42}\\=\frac{-5}{21}\)