Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{-11}\right)-\left(\frac{5}{3}\right)\\= \frac{-8}{11}-\frac{5}{3}\\=\frac{-24}{33}-\frac{55}{33}\\=\frac{-24-55}{33}\\=\frac{-79}{33}\)
2. \(-\left(\frac{-5}{-2}\right)+\left(\frac{-7}{-4}\right)\\= \frac{-5}{2}+\frac{7}{4}\\=\frac{-10}{4}+\frac{7}{4}\\=\frac{-10+7}{4}\\=\frac{-3}{4}\)
3. \(-\left(\frac{-15}{11}\right)-\left(\frac{-3}{10}\right)\\= \frac{15}{11}+\frac{3}{10}\\=\frac{150}{110}+\frac{33}{110}\\=\frac{150+33}{110}\\=\frac{183}{110}\)
4. \(+\left(\frac{12}{-11}\right)-\left(\frac{7}{13}\right)\\= \frac{-12}{11}-\frac{7}{13}\\=\frac{-156}{143}-\frac{77}{143}\\=\frac{-156-77}{143}\\=\frac{-233}{143}\)
5. \(+\left(\frac{5}{4}\right)-\left(\frac{15}{4}\right)\\= \frac{5}{4}-\frac{15}{4}\\=\frac{5-15}{4}\\=\frac{-10}{4}\\=\frac{-5}{2}\)
6. \(-\left(\frac{-3}{4}\right)-\left(\frac{15}{7}\right)\\= \frac{3}{4}-\frac{15}{7}\\=\frac{21}{28}-\frac{60}{28}\\=\frac{21-60}{28}\\=\frac{-39}{28}\)
7. \(-\left(\frac{9}{-4}\right)-\left(\frac{-9}{5}\right)\\= \frac{9}{4}+\frac{9}{5}\\=\frac{45}{20}+\frac{36}{20}\\=\frac{45+36}{20}\\=\frac{81}{20}\)
8. \(+\left(\frac{9}{-11}\right)-\left(\frac{-2}{-5}\right)\\= \frac{-9}{11}-\frac{2}{5}\\=\frac{-45}{55}-\frac{22}{55}\\=\frac{-45-22}{55}\\=\frac{-67}{55}\)
9. \(+\left(\frac{-10}{-7}\right)+\left(\frac{7}{2}\right)\\= \frac{10}{7}+\frac{7}{2}\\=\frac{20}{14}+\frac{49}{14}\\=\frac{20+49}{14}\\=\frac{69}{14}\)
10. \(+\left(\frac{-8}{7}\right)-\left(\frac{13}{9}\right)\\= \frac{-8}{7}-\frac{13}{9}\\=\frac{-72}{63}-\frac{91}{63}\\=\frac{-72-91}{63}\\=\frac{-163}{63}\)
11. \(-\left(\frac{-7}{-6}\right)-\left(\frac{6}{5}\right)\\= \frac{-7}{6}-\frac{6}{5}\\=\frac{-35}{30}-\frac{36}{30}\\=\frac{-35-36}{30}\\=\frac{-71}{30}\)
12. \(+\left(\frac{-3}{14}\right)-\left(\frac{11}{-14}\right)\\= \frac{-3}{14}+\frac{11}{14}\\=\frac{-3+11}{14}\\=\frac{8}{14}\\=\frac{4}{7}\)