Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-3}\right)+\left(\frac{-3}{-7}\right)\\= \frac{2}{3}+\frac{3}{7}\\=\frac{14}{21}+\frac{9}{21}\\=\frac{14+9}{21}\\=\frac{23}{21}\)
2. \(-\left(\frac{-8}{13}\right)+\left(\frac{14}{-11}\right)\\= \frac{8}{13}-\frac{14}{11}\\=\frac{88}{143}-\frac{182}{143}\\=\frac{88-182}{143}\\=\frac{-94}{143}\)
3. \(-\left(\frac{-8}{-5}\right)+\left(\frac{3}{11}\right)\\= \frac{-8}{5}+\frac{3}{11}\\=\frac{-88}{55}+\frac{15}{55}\\=\frac{-88+15}{55}\\=\frac{-73}{55}\)
4. \(-\left(\frac{-2}{-9}\right)+\left(\frac{-2}{-9}\right)\\= \frac{-2}{9}+\frac{2}{9}\\=\frac{-2+2}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
5. \(-\left(\frac{7}{2}\right)-\left(\frac{-12}{11}\right)\\= \frac{-7}{2}+\frac{12}{11}\\=\frac{-77}{22}+\frac{24}{22}\\=\frac{-77+24}{22}\\=\frac{-53}{22}\)
6. \(-\left(\frac{5}{8}\right)-\left(\frac{-8}{11}\right)\\= \frac{-5}{8}+\frac{8}{11}\\=\frac{-55}{88}+\frac{64}{88}\\=\frac{-55+64}{88}\\=\frac{9}{88}\)
7. \(-\left(\frac{-14}{9}\right)+\left(\frac{13}{-2}\right)\\= \frac{14}{9}-\frac{13}{2}\\=\frac{28}{18}-\frac{117}{18}\\=\frac{28-117}{18}\\=\frac{-89}{18}\)
8. \(-\left(\frac{-9}{-4}\right)+\left(\frac{-4}{5}\right)\\= \frac{-9}{4}-\frac{4}{5}\\=\frac{-45}{20}-\frac{16}{20}\\=\frac{-45-16}{20}\\=\frac{-61}{20}\)
9. \(+\left(\frac{9}{11}\right)+\left(\frac{11}{10}\right)\\= \frac{9}{11}+\frac{11}{10}\\=\frac{90}{110}+\frac{121}{110}\\=\frac{90+121}{110}\\=\frac{211}{110}\)
10. \(+\left(\frac{-6}{11}\right)-\left(\frac{15}{-4}\right)\\= \frac{-6}{11}+\frac{15}{4}\\=\frac{-24}{44}+\frac{165}{44}\\=\frac{-24+165}{44}\\=\frac{141}{44}\)
11. \(+\left(\frac{-11}{5}\right)-\left(\frac{9}{-7}\right)\\= \frac{-11}{5}+\frac{9}{7}\\=\frac{-77}{35}+\frac{45}{35}\\=\frac{-77+45}{35}\\=\frac{-32}{35}\)
12. \(+\left(\frac{-2}{-13}\right)+\left(\frac{-4}{13}\right)\\= \frac{2}{13}-\frac{4}{13}\\=\frac{2-4}{13}\\=\frac{-2}{13}\)