Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{-3}\right)-\left(\frac{-7}{4}\right)\\= \frac{-11}{3}+\frac{7}{4}\\=\frac{-44}{12}+\frac{21}{12}\\=\frac{-44+21}{12}\\=\frac{-23}{12}\)
2. \(-\left(\frac{3}{-7}\right)-\left(\frac{-12}{-13}\right)\\= \frac{3}{7}-\frac{12}{13}\\=\frac{39}{91}-\frac{84}{91}\\=\frac{39-84}{91}\\=\frac{-45}{91}\)
3. \(-\left(\frac{6}{-11}\right)-\left(\frac{-2}{-13}\right)\\= \frac{6}{11}-\frac{2}{13}\\=\frac{78}{143}-\frac{22}{143}\\=\frac{78-22}{143}\\=\frac{56}{143}\)
4. \(-\left(\frac{13}{-7}\right)+\left(\frac{-9}{10}\right)\\= \frac{13}{7}-\frac{9}{10}\\=\frac{130}{70}-\frac{63}{70}\\=\frac{130-63}{70}\\=\frac{67}{70}\)
5. \(-\left(\frac{4}{3}\right)-\left(\frac{9}{13}\right)\\= \frac{-4}{3}-\frac{9}{13}\\=\frac{-52}{39}-\frac{27}{39}\\=\frac{-52-27}{39}\\=\frac{-79}{39}\)
6. \(+\left(\frac{6}{13}\right)+\left(\frac{2}{7}\right)\\= \frac{6}{13}+\frac{2}{7}\\=\frac{42}{91}+\frac{26}{91}\\=\frac{42+26}{91}\\=\frac{68}{91}\)
7. \(-\left(\frac{8}{3}\right)+\left(\frac{-3}{2}\right)\\= \frac{-8}{3}-\frac{3}{2}\\=\frac{-16}{6}-\frac{9}{6}\\=\frac{-16-9}{6}\\=\frac{-25}{6}\)
8. \(-\left(\frac{-5}{11}\right)-\left(\frac{5}{-7}\right)\\= \frac{5}{11}+\frac{5}{7}\\=\frac{35}{77}+\frac{55}{77}\\=\frac{35+55}{77}\\=\frac{90}{77}\)
9. \(+\left(\frac{3}{2}\right)+\left(\frac{12}{11}\right)\\= \frac{3}{2}+\frac{12}{11}\\=\frac{33}{22}+\frac{24}{22}\\=\frac{33+24}{22}\\=\frac{57}{22}\)
10. \(-\left(\frac{4}{-7}\right)-\left(\frac{-14}{-9}\right)\\= \frac{4}{7}-\frac{14}{9}\\=\frac{36}{63}-\frac{98}{63}\\=\frac{36-98}{63}\\=\frac{-62}{63}\)
11. \(+\left(\frac{14}{5}\right)-\left(\frac{15}{-13}\right)\\= \frac{14}{5}+\frac{15}{13}\\=\frac{182}{65}+\frac{75}{65}\\=\frac{182+75}{65}\\=\frac{257}{65}\)
12. \(+\left(\frac{11}{-4}\right)-\left(\frac{3}{-10}\right)\\= \frac{-11}{4}+\frac{3}{10}\\=\frac{-55}{20}+\frac{6}{20}\\=\frac{-55+6}{20}\\=\frac{-49}{20}\)