Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{10}\right)-\left(\frac{-6}{11}\right)\\= \frac{-3}{10}+\frac{6}{11}\\=\frac{-33}{110}+\frac{60}{110}\\=\frac{-33+60}{110}\\=\frac{27}{110}\)
2. \(+\left(\frac{-15}{-4}\right)-\left(\frac{-8}{3}\right)\\= \frac{15}{4}+\frac{8}{3}\\=\frac{45}{12}+\frac{32}{12}\\=\frac{45+32}{12}\\=\frac{77}{12}\)
3. \(+\left(\frac{4}{-5}\right)-\left(\frac{6}{5}\right)\\= \frac{-4}{5}-\frac{6}{5}\\=\frac{-4-6}{5}\\=\frac{-10}{5}\\=\frac{-2}{1}\)
4. \(+\left(\frac{-9}{-10}\right)+\left(\frac{-8}{3}\right)\\= \frac{9}{10}-\frac{8}{3}\\=\frac{27}{30}-\frac{80}{30}\\=\frac{27-80}{30}\\=\frac{-53}{30}\)
5. \(-\left(\frac{14}{9}\right)-\left(\frac{15}{8}\right)\\= \frac{-14}{9}-\frac{15}{8}\\=\frac{-112}{72}-\frac{135}{72}\\=\frac{-112-135}{72}\\=\frac{-247}{72}\)
6. \(-\left(\frac{8}{11}\right)-\left(\frac{8}{-7}\right)\\= \frac{-8}{11}+\frac{8}{7}\\=\frac{-56}{77}+\frac{88}{77}\\=\frac{-56+88}{77}\\=\frac{32}{77}\)
7. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-9}{-7}\right)\\= \frac{-6}{5}-\frac{9}{7}\\=\frac{-42}{35}-\frac{45}{35}\\=\frac{-42-45}{35}\\=\frac{-87}{35}\)
8. \(+\left(\frac{3}{4}\right)+\left(\frac{12}{11}\right)\\= \frac{3}{4}+\frac{12}{11}\\=\frac{33}{44}+\frac{48}{44}\\=\frac{33+48}{44}\\=\frac{81}{44}\)
9. \(-\left(\frac{5}{9}\right)+\left(\frac{3}{4}\right)\\= \frac{-5}{9}+\frac{3}{4}\\=\frac{-20}{36}+\frac{27}{36}\\=\frac{-20+27}{36}\\=\frac{7}{36}\)
10. \(-\left(\frac{3}{4}\right)-\left(\frac{-3}{-4}\right)\\= \frac{-3}{4}-\frac{3}{4}\\=\frac{-3-3}{4}\\=\frac{-6}{4}\\=\frac{-3}{2}\)
11. \(-\left(\frac{15}{-14}\right)+\left(\frac{6}{11}\right)\\= \frac{15}{14}+\frac{6}{11}\\=\frac{165}{154}+\frac{84}{154}\\=\frac{165+84}{154}\\=\frac{249}{154}\)
12. \(-\left(\frac{4}{11}\right)-\left(\frac{-7}{-13}\right)\\= \frac{-4}{11}-\frac{7}{13}\\=\frac{-52}{143}-\frac{77}{143}\\=\frac{-52-77}{143}\\=\frac{-129}{143}\)