Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{13}\right)-\left(\frac{-7}{8}\right)\\= \frac{-14}{13}+\frac{7}{8}\\=\frac{-112}{104}+\frac{91}{104}\\=\frac{-112+91}{104}\\=\frac{-21}{104}\)
2. \(-\left(\frac{3}{-2}\right)-\left(\frac{15}{13}\right)\\= \frac{3}{2}-\frac{15}{13}\\=\frac{39}{26}-\frac{30}{26}\\=\frac{39-30}{26}\\=\frac{9}{26}\)
3. \(-\left(\frac{14}{-11}\right)-\left(\frac{-3}{2}\right)\\= \frac{14}{11}+\frac{3}{2}\\=\frac{28}{22}+\frac{33}{22}\\=\frac{28+33}{22}\\=\frac{61}{22}\)
4. \(-\left(\frac{9}{14}\right)+\left(\frac{-8}{-5}\right)\\= \frac{-9}{14}+\frac{8}{5}\\=\frac{-45}{70}+\frac{112}{70}\\=\frac{-45+112}{70}\\=\frac{67}{70}\)
5. \(-\left(\frac{-13}{14}\right)-\left(\frac{-14}{13}\right)\\= \frac{13}{14}+\frac{14}{13}\\=\frac{169}{182}+\frac{196}{182}\\=\frac{169+196}{182}\\=\frac{365}{182}\)
6. \(-\left(\frac{15}{-4}\right)+\left(\frac{-9}{-7}\right)\\= \frac{15}{4}+\frac{9}{7}\\=\frac{105}{28}+\frac{36}{28}\\=\frac{105+36}{28}\\=\frac{141}{28}\)
7. \(-\left(\frac{-12}{11}\right)+\left(\frac{13}{12}\right)\\= \frac{12}{11}+\frac{13}{12}\\=\frac{144}{132}+\frac{143}{132}\\=\frac{144+143}{132}\\=\frac{287}{132}\)
8. \(-\left(\frac{-4}{-3}\right)+\left(\frac{14}{13}\right)\\= \frac{-4}{3}+\frac{14}{13}\\=\frac{-52}{39}+\frac{42}{39}\\=\frac{-52+42}{39}\\=\frac{-10}{39}\)
9. \(-\left(\frac{-4}{9}\right)-\left(\frac{3}{-2}\right)\\= \frac{4}{9}+\frac{3}{2}\\=\frac{8}{18}+\frac{27}{18}\\=\frac{8+27}{18}\\=\frac{35}{18}\)
10. \(-\left(\frac{12}{5}\right)-\left(\frac{-2}{11}\right)\\= \frac{-12}{5}+\frac{2}{11}\\=\frac{-132}{55}+\frac{10}{55}\\=\frac{-132+10}{55}\\=\frac{-122}{55}\)
11. \(-\left(\frac{13}{8}\right)-\left(\frac{-7}{6}\right)\\= \frac{-13}{8}+\frac{7}{6}\\=\frac{-39}{24}+\frac{28}{24}\\=\frac{-39+28}{24}\\=\frac{-11}{24}\)
12. \(-\left(\frac{-13}{-6}\right)+\left(\frac{-7}{11}\right)\\= \frac{-13}{6}-\frac{7}{11}\\=\frac{-143}{66}-\frac{42}{66}\\=\frac{-143-42}{66}\\=\frac{-185}{66}\)