Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{3}\right)-\left(\frac{-4}{-11}\right)\\= \frac{8}{3}-\frac{4}{11}\\=\frac{88}{33}-\frac{12}{33}\\=\frac{88-12}{33}\\=\frac{76}{33}\)
2. \(-\left(\frac{-3}{14}\right)+\left(\frac{3}{-4}\right)\\= \frac{3}{14}-\frac{3}{4}\\=\frac{6}{28}-\frac{21}{28}\\=\frac{6-21}{28}\\=\frac{-15}{28}\)
3. \(+\left(\frac{3}{7}\right)-\left(\frac{6}{11}\right)\\= \frac{3}{7}-\frac{6}{11}\\=\frac{33}{77}-\frac{42}{77}\\=\frac{33-42}{77}\\=\frac{-9}{77}\)
4. \(-\left(\frac{5}{14}\right)-\left(\frac{-2}{7}\right)\\= \frac{-5}{14}+\frac{2}{7}\\=\frac{-5+2}{14}\\=\frac{-3}{14}\)
5. \(-\left(\frac{-9}{-10}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-9}{10}-\frac{13}{14}\\=\frac{-63}{70}-\frac{65}{70}\\=\frac{-63-65}{70}\\=\frac{-128}{70}\\=\frac{-64}{35}\)
6. \(-\left(\frac{-8}{-3}\right)+\left(\frac{8}{13}\right)\\= \frac{-8}{3}+\frac{8}{13}\\=\frac{-104}{39}+\frac{24}{39}\\=\frac{-104+24}{39}\\=\frac{-80}{39}\)
7. \(+\left(\frac{-6}{5}\right)-\left(\frac{-15}{-2}\right)\\= \frac{-6}{5}-\frac{15}{2}\\=\frac{-12}{10}-\frac{75}{10}\\=\frac{-12-75}{10}\\=\frac{-87}{10}\)
8. \(-\left(\frac{6}{5}\right)-\left(\frac{11}{4}\right)\\= \frac{-6}{5}-\frac{11}{4}\\=\frac{-24}{20}-\frac{55}{20}\\=\frac{-24-55}{20}\\=\frac{-79}{20}\)
9. \(+\left(\frac{-7}{-2}\right)-\left(\frac{-13}{2}\right)\\= \frac{7}{2}+\frac{13}{2}\\=\frac{7+13}{2}\\=\frac{20}{2}\\=\frac{10}{1}\)
10. \(+\left(\frac{14}{11}\right)+\left(\frac{-15}{4}\right)\\= \frac{14}{11}-\frac{15}{4}\\=\frac{56}{44}-\frac{165}{44}\\=\frac{56-165}{44}\\=\frac{-109}{44}\)
11. \(+\left(\frac{-7}{2}\right)+\left(\frac{12}{11}\right)\\= \frac{-7}{2}+\frac{12}{11}\\=\frac{-77}{22}+\frac{24}{22}\\=\frac{-77+24}{22}\\=\frac{-53}{22}\)
12. \(+\left(\frac{2}{7}\right)+\left(\frac{-8}{11}\right)\\= \frac{2}{7}-\frac{8}{11}\\=\frac{22}{77}-\frac{56}{77}\\=\frac{22-56}{77}\\=\frac{-34}{77}\)