Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{9}\right)-\left(\frac{7}{10}\right)\\= \frac{-5}{9}-\frac{7}{10}\\=\frac{-50}{90}-\frac{63}{90}\\=\frac{-50-63}{90}\\=\frac{-113}{90}\)
2. \(+\left(\frac{10}{3}\right)-\left(\frac{-14}{-9}\right)\\= \frac{10}{3}-\frac{14}{9}\\=\frac{30}{9}-\frac{14}{9}\\=\frac{30-14}{9}\\=\frac{16}{9}\)
3. \(-\left(\frac{4}{-5}\right)+\left(\frac{-8}{-9}\right)\\= \frac{4}{5}+\frac{8}{9}\\=\frac{36}{45}+\frac{40}{45}\\=\frac{36+40}{45}\\=\frac{76}{45}\)
4. \(-\left(\frac{-14}{-11}\right)+\left(\frac{-4}{-11}\right)\\= \frac{-14}{11}+\frac{4}{11}\\=\frac{-14+4}{11}\\=\frac{-10}{11}\)
5. \(+\left(\frac{-12}{11}\right)+\left(\frac{8}{-5}\right)\\= \frac{-12}{11}-\frac{8}{5}\\=\frac{-60}{55}-\frac{88}{55}\\=\frac{-60-88}{55}\\=\frac{-148}{55}\)
6. \(-\left(\frac{-12}{-13}\right)+\left(\frac{6}{-5}\right)\\= \frac{-12}{13}-\frac{6}{5}\\=\frac{-60}{65}-\frac{78}{65}\\=\frac{-60-78}{65}\\=\frac{-138}{65}\)
7. \(-\left(\frac{-4}{3}\right)-\left(\frac{13}{-9}\right)\\= \frac{4}{3}+\frac{13}{9}\\=\frac{12}{9}+\frac{13}{9}\\=\frac{12+13}{9}\\=\frac{25}{9}\)
8. \(-\left(\frac{11}{-15}\right)-\left(\frac{-9}{-7}\right)\\= \frac{11}{15}-\frac{9}{7}\\=\frac{77}{105}-\frac{135}{105}\\=\frac{77-135}{105}\\=\frac{-58}{105}\)
9. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-3}{13}\right)\\= \frac{-2}{3}-\frac{3}{13}\\=\frac{-26}{39}-\frac{9}{39}\\=\frac{-26-9}{39}\\=\frac{-35}{39}\)
10. \(+\left(\frac{-3}{14}\right)-\left(\frac{-8}{15}\right)\\= \frac{-3}{14}+\frac{8}{15}\\=\frac{-45}{210}+\frac{112}{210}\\=\frac{-45+112}{210}\\=\frac{67}{210}\)
11. \(-\left(\frac{6}{7}\right)-\left(\frac{-10}{-7}\right)\\= \frac{-6}{7}-\frac{10}{7}\\=\frac{-6-10}{7}\\=\frac{-16}{7}\)
12. \(+\left(\frac{9}{8}\right)-\left(\frac{11}{-5}\right)\\= \frac{9}{8}+\frac{11}{5}\\=\frac{45}{40}+\frac{88}{40}\\=\frac{45+88}{40}\\=\frac{133}{40}\)