Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-13}\right)-\left(\frac{9}{11}\right)\\= \frac{-12}{13}-\frac{9}{11}\\=\frac{-132}{143}-\frac{117}{143}\\=\frac{-132-117}{143}\\=\frac{-249}{143}\)
2. \(+\left(\frac{12}{7}\right)-\left(\frac{-14}{-11}\right)\\= \frac{12}{7}-\frac{14}{11}\\=\frac{132}{77}-\frac{98}{77}\\=\frac{132-98}{77}\\=\frac{34}{77}\)
3. \(-\left(\frac{-9}{-4}\right)-\left(\frac{9}{-7}\right)\\= \frac{-9}{4}+\frac{9}{7}\\=\frac{-63}{28}+\frac{36}{28}\\=\frac{-63+36}{28}\\=\frac{-27}{28}\)
4. \(-\left(\frac{4}{-5}\right)+\left(\frac{-12}{5}\right)\\= \frac{4}{5}-\frac{12}{5}\\=\frac{4-12}{5}\\=\frac{-8}{5}\)
5. \(+\left(\frac{9}{-2}\right)+\left(\frac{7}{8}\right)\\= \frac{-9}{2}+\frac{7}{8}\\=\frac{-36}{8}+\frac{7}{8}\\=\frac{-36+7}{8}\\=\frac{-29}{8}\)
6. \(-\left(\frac{9}{14}\right)+\left(\frac{-13}{2}\right)\\= \frac{-9}{14}-\frac{13}{2}\\=\frac{-9-13}{14}\\=\frac{-22}{14}\\=\frac{-11}{7}\)
7. \(+\left(\frac{6}{11}\right)+\left(\frac{15}{-11}\right)\\= \frac{6}{11}-\frac{15}{11}\\=\frac{6-15}{11}\\=\frac{-9}{11}\)
8. \(+\left(\frac{2}{3}\right)+\left(\frac{-4}{13}\right)\\= \frac{2}{3}-\frac{4}{13}\\=\frac{26}{39}-\frac{12}{39}\\=\frac{26-12}{39}\\=\frac{14}{39}\)
9. \(+\left(\frac{-3}{2}\right)+\left(\frac{8}{9}\right)\\= \frac{-3}{2}+\frac{8}{9}\\=\frac{-27}{18}+\frac{16}{18}\\=\frac{-27+16}{18}\\=\frac{-11}{18}\)
10. \(+\left(\frac{5}{11}\right)+\left(\frac{-14}{-9}\right)\\= \frac{5}{11}+\frac{14}{9}\\=\frac{45}{99}+\frac{154}{99}\\=\frac{45+154}{99}\\=\frac{199}{99}\)
11. \(+\left(\frac{-15}{11}\right)-\left(\frac{-5}{-7}\right)\\= \frac{-15}{11}-\frac{5}{7}\\=\frac{-105}{77}-\frac{55}{77}\\=\frac{-105-55}{77}\\=\frac{-160}{77}\)
12. \(-\left(\frac{6}{7}\right)+\left(\frac{8}{13}\right)\\= \frac{-6}{7}+\frac{8}{13}\\=\frac{-78}{91}+\frac{56}{91}\\=\frac{-78+56}{91}\\=\frac{-22}{91}\)