Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{2}\right)-\left(\frac{6}{5}\right)\\= \frac{-13}{2}-\frac{6}{5}\\=\frac{-65}{10}-\frac{12}{10}\\=\frac{-65-12}{10}\\=\frac{-77}{10}\)
2. \(-\left(\frac{13}{-4}\right)-\left(\frac{-2}{-7}\right)\\= \frac{13}{4}-\frac{2}{7}\\=\frac{91}{28}-\frac{8}{28}\\=\frac{91-8}{28}\\=\frac{83}{28}\)
3. \(-\left(\frac{-13}{-11}\right)-\left(\frac{10}{3}\right)\\= \frac{-13}{11}-\frac{10}{3}\\=\frac{-39}{33}-\frac{110}{33}\\=\frac{-39-110}{33}\\=\frac{-149}{33}\)
4. \(-\left(\frac{10}{11}\right)+\left(\frac{-10}{11}\right)\\= \frac{-10}{11}-\frac{10}{11}\\=\frac{-10-10}{11}\\=\frac{-20}{11}\)
5. \(-\left(\frac{3}{-2}\right)+\left(\frac{12}{5}\right)\\= \frac{3}{2}+\frac{12}{5}\\=\frac{15}{10}+\frac{24}{10}\\=\frac{15+24}{10}\\=\frac{39}{10}\)
6. \(+\left(\frac{3}{7}\right)-\left(\frac{15}{-4}\right)\\= \frac{3}{7}+\frac{15}{4}\\=\frac{12}{28}+\frac{105}{28}\\=\frac{12+105}{28}\\=\frac{117}{28}\)
7. \(-\left(\frac{-10}{9}\right)-\left(\frac{-4}{11}\right)\\= \frac{10}{9}+\frac{4}{11}\\=\frac{110}{99}+\frac{36}{99}\\=\frac{110+36}{99}\\=\frac{146}{99}\)
8. \(+\left(\frac{7}{3}\right)+\left(\frac{-14}{-11}\right)\\= \frac{7}{3}+\frac{14}{11}\\=\frac{77}{33}+\frac{42}{33}\\=\frac{77+42}{33}\\=\frac{119}{33}\)
9. \(-\left(\frac{-13}{-12}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-13}{12}-\frac{5}{6}\\=\frac{-13-5}{12}\\=\frac{-18}{12}\\=\frac{-3}{2}\)
10. \(-\left(\frac{6}{11}\right)-\left(\frac{4}{-7}\right)\\= \frac{-6}{11}+\frac{4}{7}\\=\frac{-42}{77}+\frac{44}{77}\\=\frac{-42+44}{77}\\=\frac{2}{77}\)
11. \(+\left(\frac{9}{-11}\right)-\left(\frac{-7}{6}\right)\\= \frac{-9}{11}+\frac{7}{6}\\=\frac{-54}{66}+\frac{77}{66}\\=\frac{-54+77}{66}\\=\frac{23}{66}\)
12. \(-\left(\frac{15}{11}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-15}{11}+\frac{12}{5}\\=\frac{-75}{55}+\frac{132}{55}\\=\frac{-75+132}{55}\\=\frac{57}{55}\)