Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-2}\right)+\left(\frac{8}{5}\right)\\= \frac{13}{2}+\frac{8}{5}\\=\frac{65}{10}+\frac{16}{10}\\=\frac{65+16}{10}\\=\frac{81}{10}\)
2. \(-\left(\frac{7}{6}\right)-\left(\frac{-8}{15}\right)\\= \frac{-7}{6}+\frac{8}{15}\\=\frac{-35}{30}+\frac{16}{30}\\=\frac{-35+16}{30}\\=\frac{-19}{30}\)
3. \(+\left(\frac{7}{-3}\right)+\left(\frac{13}{11}\right)\\= \frac{-7}{3}+\frac{13}{11}\\=\frac{-77}{33}+\frac{39}{33}\\=\frac{-77+39}{33}\\=\frac{-38}{33}\)
4. \(+\left(\frac{-15}{-2}\right)+\left(\frac{-11}{-12}\right)\\= \frac{15}{2}+\frac{11}{12}\\=\frac{90}{12}+\frac{11}{12}\\=\frac{90+11}{12}\\=\frac{101}{12}\)
5. \(-\left(\frac{-9}{-4}\right)-\left(\frac{6}{5}\right)\\= \frac{-9}{4}-\frac{6}{5}\\=\frac{-45}{20}-\frac{24}{20}\\=\frac{-45-24}{20}\\=\frac{-69}{20}\)
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. \(+\left(\frac{-7}{-13}\right)-\left(\frac{8}{3}\right)\\= \frac{7}{13}-\frac{8}{3}\\=\frac{21}{39}-\frac{104}{39}\\=\frac{21-104}{39}\\=\frac{-83}{39}\)
8. \(-\left(\frac{-6}{5}\right)+\left(\frac{13}{-4}\right)\\= \frac{6}{5}-\frac{13}{4}\\=\frac{24}{20}-\frac{65}{20}\\=\frac{24-65}{20}\\=\frac{-41}{20}\)
9. \(+\left(\frac{-6}{11}\right)+\left(\frac{4}{-7}\right)\\= \frac{-6}{11}-\frac{4}{7}\\=\frac{-42}{77}-\frac{44}{77}\\=\frac{-42-44}{77}\\=\frac{-86}{77}\)
10. \(+\left(\frac{9}{10}\right)+\left(\frac{7}{6}\right)\\= \frac{9}{10}+\frac{7}{6}\\=\frac{27}{30}+\frac{35}{30}\\=\frac{27+35}{30}\\=\frac{62}{30}\\=\frac{31}{15}\)
11. \(-\left(\frac{-4}{13}\right)+\left(\frac{-4}{3}\right)\\= \frac{4}{13}-\frac{4}{3}\\=\frac{12}{39}-\frac{52}{39}\\=\frac{12-52}{39}\\=\frac{-40}{39}\)
12. \(+\left(\frac{3}{4}\right)+\left(\frac{-4}{-9}\right)\\= \frac{3}{4}+\frac{4}{9}\\=\frac{27}{36}+\frac{16}{36}\\=\frac{27+16}{36}\\=\frac{43}{36}\)