Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{3}\right)+\left(\frac{8}{7}\right)\\= \frac{4}{3}+\frac{8}{7}\\=\frac{28}{21}+\frac{24}{21}\\=\frac{28+24}{21}\\=\frac{52}{21}\)
2. \(-\left(\frac{14}{3}\right)-\left(\frac{-2}{5}\right)\\= \frac{-14}{3}+\frac{2}{5}\\=\frac{-70}{15}+\frac{6}{15}\\=\frac{-70+6}{15}\\=\frac{-64}{15}\)
3. \(-\left(\frac{-7}{-11}\right)+\left(\frac{-4}{9}\right)\\= \frac{-7}{11}-\frac{4}{9}\\=\frac{-63}{99}-\frac{44}{99}\\=\frac{-63-44}{99}\\=\frac{-107}{99}\)
4. \(-\left(\frac{15}{-7}\right)-\left(\frac{-10}{-7}\right)\\= \frac{15}{7}-\frac{10}{7}\\=\frac{15-10}{7}\\=\frac{5}{7}\)
5. \(+\left(\frac{-12}{-5}\right)+\left(\frac{2}{-3}\right)\\= \frac{12}{5}-\frac{2}{3}\\=\frac{36}{15}-\frac{10}{15}\\=\frac{36-10}{15}\\=\frac{26}{15}\)
6. \(+\left(\frac{-2}{-3}\right)-\left(\frac{11}{2}\right)\\= \frac{2}{3}-\frac{11}{2}\\=\frac{4}{6}-\frac{33}{6}\\=\frac{4-33}{6}\\=\frac{-29}{6}\)
7. \(-\left(\frac{-10}{-9}\right)-\left(\frac{-9}{-13}\right)\\= \frac{-10}{9}-\frac{9}{13}\\=\frac{-130}{117}-\frac{81}{117}\\=\frac{-130-81}{117}\\=\frac{-211}{117}\)
8. \(+\left(\frac{-11}{5}\right)-\left(\frac{-11}{12}\right)\\= \frac{-11}{5}+\frac{11}{12}\\=\frac{-132}{60}+\frac{55}{60}\\=\frac{-132+55}{60}\\=\frac{-77}{60}\)
9. \(+\left(\frac{14}{5}\right)-\left(\frac{-12}{5}\right)\\= \frac{14}{5}+\frac{12}{5}\\=\frac{14+12}{5}\\=\frac{26}{5}\)
10. \(-\left(\frac{12}{-5}\right)-\left(\frac{4}{-9}\right)\\= \frac{12}{5}+\frac{4}{9}\\=\frac{108}{45}+\frac{20}{45}\\=\frac{108+20}{45}\\=\frac{128}{45}\)
11. \(+\left(\frac{-13}{12}\right)-\left(\frac{3}{-4}\right)\\= \frac{-13}{12}+\frac{3}{4}\\=\frac{-13+3}{12}\\=\frac{-10}{12}\\=\frac{-5}{6}\)
12. \(-\left(\frac{-14}{11}\right)+\left(\frac{2}{-3}\right)\\= \frac{14}{11}-\frac{2}{3}\\=\frac{42}{33}-\frac{22}{33}\\=\frac{42-22}{33}\\=\frac{20}{33}\)