Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-7}\right)-\left(\frac{6}{-5}\right)\\= \frac{-13}{7}+\frac{6}{5}\\=\frac{-65}{35}+\frac{42}{35}\\=\frac{-65+42}{35}\\=\frac{-23}{35}\)
2. \(+\left(\frac{8}{-3}\right)+\left(\frac{9}{-14}\right)\\= \frac{-8}{3}-\frac{9}{14}\\=\frac{-112}{42}-\frac{27}{42}\\=\frac{-112-27}{42}\\=\frac{-139}{42}\)
3. \(-\left(\frac{-5}{-8}\right)+\left(\frac{13}{-10}\right)\\= \frac{-5}{8}-\frac{13}{10}\\=\frac{-25}{40}-\frac{52}{40}\\=\frac{-25-52}{40}\\=\frac{-77}{40}\)
4. \(-\left(\frac{-15}{11}\right)+\left(\frac{-15}{-8}\right)\\= \frac{15}{11}+\frac{15}{8}\\=\frac{120}{88}+\frac{165}{88}\\=\frac{120+165}{88}\\=\frac{285}{88}\)
5. \(+\left(\frac{4}{-5}\right)-\left(\frac{5}{4}\right)\\= \frac{-4}{5}-\frac{5}{4}\\=\frac{-16}{20}-\frac{25}{20}\\=\frac{-16-25}{20}\\=\frac{-41}{20}\)
6. \(-\left(\frac{-6}{-11}\right)+\left(\frac{6}{5}\right)\\= \frac{-6}{11}+\frac{6}{5}\\=\frac{-30}{55}+\frac{66}{55}\\=\frac{-30+66}{55}\\=\frac{36}{55}\)
7. \(+\left(\frac{9}{13}\right)-\left(\frac{13}{-8}\right)\\= \frac{9}{13}+\frac{13}{8}\\=\frac{72}{104}+\frac{169}{104}\\=\frac{72+169}{104}\\=\frac{241}{104}\)
8. \(+\left(\frac{-8}{11}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-8}{11}-\frac{12}{5}\\=\frac{-40}{55}-\frac{132}{55}\\=\frac{-40-132}{55}\\=\frac{-172}{55}\)
9. \(+\left(\frac{12}{-7}\right)-\left(\frac{6}{5}\right)\\= \frac{-12}{7}-\frac{6}{5}\\=\frac{-60}{35}-\frac{42}{35}\\=\frac{-60-42}{35}\\=\frac{-102}{35}\)
10. \(-\left(\frac{4}{3}\right)+\left(\frac{13}{-2}\right)\\= \frac{-4}{3}-\frac{13}{2}\\=\frac{-8}{6}-\frac{39}{6}\\=\frac{-8-39}{6}\\=\frac{-47}{6}\)
11. \(+\left(\frac{-8}{-11}\right)-\left(\frac{9}{-13}\right)\\= \frac{8}{11}+\frac{9}{13}\\=\frac{104}{143}+\frac{99}{143}\\=\frac{104+99}{143}\\=\frac{203}{143}\)
12. \(+\left(\frac{13}{-9}\right)-\left(\frac{6}{5}\right)\\= \frac{-13}{9}-\frac{6}{5}\\=\frac{-65}{45}-\frac{54}{45}\\=\frac{-65-54}{45}\\=\frac{-119}{45}\)