Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{6}\right)-\left(\frac{2}{9}\right)\\= \frac{5}{6}-\frac{2}{9}\\=\frac{15}{18}-\frac{4}{18}\\=\frac{15-4}{18}\\=\frac{11}{18}\)
2. \(-\left(\frac{10}{3}\right)+\left(\frac{3}{7}\right)\\= \frac{-10}{3}+\frac{3}{7}\\=\frac{-70}{21}+\frac{9}{21}\\=\frac{-70+9}{21}\\=\frac{-61}{21}\)
3. \(+\left(\frac{5}{6}\right)-\left(\frac{-4}{-3}\right)\\= \frac{5}{6}-\frac{4}{3}\\=\frac{5-4}{6}\\=\frac{1}{6}\)
4. \(-\left(\frac{13}{12}\right)+\left(\frac{-9}{-7}\right)\\= \frac{-13}{12}+\frac{9}{7}\\=\frac{-91}{84}+\frac{108}{84}\\=\frac{-91+108}{84}\\=\frac{17}{84}\)
5. \(+\left(\frac{4}{-13}\right)-\left(\frac{10}{-9}\right)\\= \frac{-4}{13}+\frac{10}{9}\\=\frac{-36}{117}+\frac{130}{117}\\=\frac{-36+130}{117}\\=\frac{94}{117}\)
6. \(-\left(\frac{-13}{-7}\right)-\left(\frac{-15}{7}\right)\\= \frac{-13}{7}+\frac{15}{7}\\=\frac{-13+15}{7}\\=\frac{2}{7}\)
7. \(-\left(\frac{-3}{-4}\right)+\left(\frac{-12}{11}\right)\\= \frac{-3}{4}-\frac{12}{11}\\=\frac{-33}{44}-\frac{48}{44}\\=\frac{-33-48}{44}\\=\frac{-81}{44}\)
8. \(+\left(\frac{-13}{14}\right)+\left(\frac{11}{-10}\right)\\= \frac{-13}{14}-\frac{11}{10}\\=\frac{-65}{70}-\frac{77}{70}\\=\frac{-65-77}{70}\\=\frac{-142}{70}\\=\frac{-71}{35}\)
9. \(+\left(\frac{-7}{4}\right)+\left(\frac{5}{-12}\right)\\= \frac{-7}{4}-\frac{5}{12}\\=\frac{-21}{12}-\frac{5}{12}\\=\frac{-21-5}{12}\\=\frac{-26}{12}\\=\frac{-13}{6}\)
10. \(+\left(\frac{9}{4}\right)+\left(\frac{-7}{2}\right)\\= \frac{9}{4}-\frac{7}{2}\\=\frac{9-7}{4}\\=\frac{2}{4}\\=\frac{1}{2}\)
11. \(-\left(\frac{-4}{7}\right)+\left(\frac{-5}{-3}\right)\\= \frac{4}{7}+\frac{5}{3}\\=\frac{12}{21}+\frac{35}{21}\\=\frac{12+35}{21}\\=\frac{47}{21}\)
12. \(-\left(\frac{-7}{-5}\right)+\left(\frac{-2}{5}\right)\\= \frac{-7}{5}-\frac{2}{5}\\=\frac{-7-2}{5}\\=\frac{-9}{5}\)