Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{10}\right)-\left(\frac{12}{11}\right)\\= \frac{7}{10}-\frac{12}{11}\\=\frac{77}{110}-\frac{120}{110}\\=\frac{77-120}{110}\\=\frac{-43}{110}\)
2. \(+\left(\frac{-13}{5}\right)+\left(\frac{-13}{6}\right)\\= \frac{-13}{5}-\frac{13}{6}\\=\frac{-78}{30}-\frac{65}{30}\\=\frac{-78-65}{30}\\=\frac{-143}{30}\)
3. \(-\left(\frac{-8}{3}\right)-\left(\frac{15}{8}\right)\\= \frac{8}{3}-\frac{15}{8}\\=\frac{64}{24}-\frac{45}{24}\\=\frac{64-45}{24}\\=\frac{19}{24}\)
4. \(+\left(\frac{7}{-2}\right)-\left(\frac{3}{14}\right)\\= \frac{-7}{2}-\frac{3}{14}\\=\frac{-49}{14}-\frac{3}{14}\\=\frac{-49-3}{14}\\=\frac{-52}{14}\\=\frac{-26}{7}\)
5. \(-\left(\frac{6}{-11}\right)+\left(\frac{-7}{-11}\right)\\= \frac{6}{11}+\frac{7}{11}\\=\frac{6+7}{11}\\=\frac{13}{11}\)
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. \(-\left(\frac{15}{-11}\right)+\left(\frac{11}{-2}\right)\\= \frac{15}{11}-\frac{11}{2}\\=\frac{30}{22}-\frac{121}{22}\\=\frac{30-121}{22}\\=\frac{-91}{22}\)
8. \(+\left(\frac{8}{-7}\right)-\left(\frac{8}{7}\right)\\= \frac{-8}{7}-\frac{8}{7}\\=\frac{-8-8}{7}\\=\frac{-16}{7}\)
9. \(+\left(\frac{-5}{-11}\right)+\left(\frac{-11}{12}\right)\\= \frac{5}{11}-\frac{11}{12}\\=\frac{60}{132}-\frac{121}{132}\\=\frac{60-121}{132}\\=\frac{-61}{132}\)
10. \(-\left(\frac{8}{5}\right)+\left(\frac{3}{7}\right)\\= \frac{-8}{5}+\frac{3}{7}\\=\frac{-56}{35}+\frac{15}{35}\\=\frac{-56+15}{35}\\=\frac{-41}{35}\)
11. \(-\left(\frac{-12}{-11}\right)+\left(\frac{4}{13}\right)\\= \frac{-12}{11}+\frac{4}{13}\\=\frac{-156}{143}+\frac{44}{143}\\=\frac{-156+44}{143}\\=\frac{-112}{143}\)
12. \(+\left(\frac{-10}{3}\right)+\left(\frac{4}{-7}\right)\\= \frac{-10}{3}-\frac{4}{7}\\=\frac{-70}{21}-\frac{12}{21}\\=\frac{-70-12}{21}\\=\frac{-82}{21}\)