Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-11}\right)+\left(\frac{9}{4}\right)\\= \frac{-6}{11}+\frac{9}{4}\\=\frac{-24}{44}+\frac{99}{44}\\=\frac{-24+99}{44}\\=\frac{75}{44}\)
2. \(+\left(\frac{6}{-11}\right)-\left(\frac{6}{-5}\right)\\= \frac{-6}{11}+\frac{6}{5}\\=\frac{-30}{55}+\frac{66}{55}\\=\frac{-30+66}{55}\\=\frac{36}{55}\)
3. \(-\left(\frac{3}{-7}\right)-\left(\frac{4}{11}\right)\\= \frac{3}{7}-\frac{4}{11}\\=\frac{33}{77}-\frac{28}{77}\\=\frac{33-28}{77}\\=\frac{5}{77}\)
4. \(+\left(\frac{11}{-12}\right)-\left(\frac{-5}{12}\right)\\= \frac{-11}{12}+\frac{5}{12}\\=\frac{-11+5}{12}\\=\frac{-6}{12}\\=\frac{-1}{2}\)
5. \(-\left(\frac{-10}{-11}\right)-\left(\frac{12}{-5}\right)\\= \frac{-10}{11}+\frac{12}{5}\\=\frac{-50}{55}+\frac{132}{55}\\=\frac{-50+132}{55}\\=\frac{82}{55}\)
6. \(-\left(\frac{6}{-11}\right)-\left(\frac{-5}{-7}\right)\\= \frac{6}{11}-\frac{5}{7}\\=\frac{42}{77}-\frac{55}{77}\\=\frac{42-55}{77}\\=\frac{-13}{77}\)
7. \(-\left(\frac{-10}{-9}\right)-\left(\frac{-4}{-7}\right)\\= \frac{-10}{9}-\frac{4}{7}\\=\frac{-70}{63}-\frac{36}{63}\\=\frac{-70-36}{63}\\=\frac{-106}{63}\)
8. \(-\left(\frac{-11}{2}\right)-\left(\frac{9}{8}\right)\\= \frac{11}{2}-\frac{9}{8}\\=\frac{44}{8}-\frac{9}{8}\\=\frac{44-9}{8}\\=\frac{35}{8}\)
9. \(+\left(\frac{15}{4}\right)-\left(\frac{12}{11}\right)\\= \frac{15}{4}-\frac{12}{11}\\=\frac{165}{44}-\frac{48}{44}\\=\frac{165-48}{44}\\=\frac{117}{44}\)
10. \(-\left(\frac{-7}{-2}\right)+\left(\frac{-9}{-11}\right)\\= \frac{-7}{2}+\frac{9}{11}\\=\frac{-77}{22}+\frac{18}{22}\\=\frac{-77+18}{22}\\=\frac{-59}{22}\)
11. \(-\left(\frac{10}{9}\right)+\left(\frac{-6}{11}\right)\\= \frac{-10}{9}-\frac{6}{11}\\=\frac{-110}{99}-\frac{54}{99}\\=\frac{-110-54}{99}\\=\frac{-164}{99}\)
12. \(-\left(\frac{7}{12}\right)-\left(\frac{9}{-4}\right)\\= \frac{-7}{12}+\frac{9}{4}\\=\frac{-7+9}{12}\\=\frac{2}{12}\\=\frac{1}{6}\)