Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{7}\right)+\left(\frac{-8}{5}\right)\\= \frac{12}{7}-\frac{8}{5}\\=\frac{60}{35}-\frac{56}{35}\\=\frac{60-56}{35}\\=\frac{4}{35}\)
2. \(-\left(\frac{-7}{8}\right)-\left(\frac{10}{-3}\right)\\= \frac{7}{8}+\frac{10}{3}\\=\frac{21}{24}+\frac{80}{24}\\=\frac{21+80}{24}\\=\frac{101}{24}\)
3. \(+\left(\frac{-2}{3}\right)+\left(\frac{3}{8}\right)\\= \frac{-2}{3}+\frac{3}{8}\\=\frac{-16}{24}+\frac{9}{24}\\=\frac{-16+9}{24}\\=\frac{-7}{24}\)
4. \(-\left(\frac{-7}{2}\right)-\left(\frac{8}{-9}\right)\\= \frac{7}{2}+\frac{8}{9}\\=\frac{63}{18}+\frac{16}{18}\\=\frac{63+16}{18}\\=\frac{79}{18}\)
5. \(-\left(\frac{-8}{7}\right)-\left(\frac{6}{11}\right)\\= \frac{8}{7}-\frac{6}{11}\\=\frac{88}{77}-\frac{42}{77}\\=\frac{88-42}{77}\\=\frac{46}{77}\)
6. \(-\left(\frac{-4}{11}\right)-\left(\frac{2}{-13}\right)\\= \frac{4}{11}+\frac{2}{13}\\=\frac{52}{143}+\frac{22}{143}\\=\frac{52+22}{143}\\=\frac{74}{143}\)
7. \(+\left(\frac{-15}{11}\right)-\left(\frac{2}{5}\right)\\= \frac{-15}{11}-\frac{2}{5}\\=\frac{-75}{55}-\frac{22}{55}\\=\frac{-75-22}{55}\\=\frac{-97}{55}\)
8. \(+\left(\frac{4}{-9}\right)-\left(\frac{-5}{-7}\right)\\= \frac{-4}{9}-\frac{5}{7}\\=\frac{-28}{63}-\frac{45}{63}\\=\frac{-28-45}{63}\\=\frac{-73}{63}\)
9. \(-\left(\frac{3}{-13}\right)-\left(\frac{13}{4}\right)\\= \frac{3}{13}-\frac{13}{4}\\=\frac{12}{52}-\frac{169}{52}\\=\frac{12-169}{52}\\=\frac{-157}{52}\)
10. \(+\left(\frac{15}{-14}\right)-\left(\frac{-2}{-13}\right)\\= \frac{-15}{14}-\frac{2}{13}\\=\frac{-195}{182}-\frac{28}{182}\\=\frac{-195-28}{182}\\=\frac{-223}{182}\)
11. \(-\left(\frac{8}{7}\right)+\left(\frac{-9}{8}\right)\\= \frac{-8}{7}-\frac{9}{8}\\=\frac{-64}{56}-\frac{63}{56}\\=\frac{-64-63}{56}\\=\frac{-127}{56}\)
12. \(+\left(\frac{-12}{5}\right)+\left(\frac{12}{-11}\right)\\= \frac{-12}{5}-\frac{12}{11}\\=\frac{-132}{55}-\frac{60}{55}\\=\frac{-132-60}{55}\\=\frac{-192}{55}\)