Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-9}\right)+\left(\frac{-12}{11}\right)\\= \frac{-4}{9}-\frac{12}{11}\\=\frac{-44}{99}-\frac{108}{99}\\=\frac{-44-108}{99}\\=\frac{-152}{99}\)
2. \(+\left(\frac{-5}{-7}\right)+\left(\frac{7}{2}\right)\\= \frac{5}{7}+\frac{7}{2}\\=\frac{10}{14}+\frac{49}{14}\\=\frac{10+49}{14}\\=\frac{59}{14}\)
3. \(-\left(\frac{9}{-7}\right)+\left(\frac{-8}{-11}\right)\\= \frac{9}{7}+\frac{8}{11}\\=\frac{99}{77}+\frac{56}{77}\\=\frac{99+56}{77}\\=\frac{155}{77}\)
4. \(-\left(\frac{-2}{9}\right)+\left(\frac{-11}{12}\right)\\= \frac{2}{9}-\frac{11}{12}\\=\frac{8}{36}-\frac{33}{36}\\=\frac{8-33}{36}\\=\frac{-25}{36}\)
5. \(+\left(\frac{5}{-6}\right)-\left(\frac{4}{7}\right)\\= \frac{-5}{6}-\frac{4}{7}\\=\frac{-35}{42}-\frac{24}{42}\\=\frac{-35-24}{42}\\=\frac{-59}{42}\)
6. \(+\left(\frac{-8}{7}\right)+\left(\frac{-3}{7}\right)\\= \frac{-8}{7}-\frac{3}{7}\\=\frac{-8-3}{7}\\=\frac{-11}{7}\)
7. \(+\left(\frac{13}{10}\right)-\left(\frac{-5}{11}\right)\\= \frac{13}{10}+\frac{5}{11}\\=\frac{143}{110}+\frac{50}{110}\\=\frac{143+50}{110}\\=\frac{193}{110}\)
8. \(-\left(\frac{5}{7}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-5}{7}+\frac{14}{11}\\=\frac{-55}{77}+\frac{98}{77}\\=\frac{-55+98}{77}\\=\frac{43}{77}\)
9. \(-\left(\frac{-3}{10}\right)+\left(\frac{13}{9}\right)\\= \frac{3}{10}+\frac{13}{9}\\=\frac{27}{90}+\frac{130}{90}\\=\frac{27+130}{90}\\=\frac{157}{90}\)
10. \(+\left(\frac{-7}{3}\right)+\left(\frac{7}{9}\right)\\= \frac{-7}{3}+\frac{7}{9}\\=\frac{-21}{9}+\frac{7}{9}\\=\frac{-21+7}{9}\\=\frac{-14}{9}\)
11. \(-\left(\frac{-9}{4}\right)+\left(\frac{11}{-12}\right)\\= \frac{9}{4}-\frac{11}{12}\\=\frac{27}{12}-\frac{11}{12}\\=\frac{27-11}{12}\\=\frac{16}{12}\\=\frac{4}{3}\)
12. \(+\left(\frac{7}{2}\right)-\left(\frac{-6}{7}\right)\\= \frac{7}{2}+\frac{6}{7}\\=\frac{49}{14}+\frac{12}{14}\\=\frac{49+12}{14}\\=\frac{61}{14}\)