Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-7}\right)+\left(\frac{15}{4}\right)\\= \frac{13}{7}+\frac{15}{4}\\=\frac{52}{28}+\frac{105}{28}\\=\frac{52+105}{28}\\=\frac{157}{28}\)
2. \(-\left(\frac{6}{-5}\right)+\left(\frac{-11}{-3}\right)\\= \frac{6}{5}+\frac{11}{3}\\=\frac{18}{15}+\frac{55}{15}\\=\frac{18+55}{15}\\=\frac{73}{15}\)
3. \(+\left(\frac{13}{11}\right)+\left(\frac{-13}{-4}\right)\\= \frac{13}{11}+\frac{13}{4}\\=\frac{52}{44}+\frac{143}{44}\\=\frac{52+143}{44}\\=\frac{195}{44}\)
4. \(-\left(\frac{2}{-13}\right)-\left(\frac{2}{3}\right)\\= \frac{2}{13}-\frac{2}{3}\\=\frac{6}{39}-\frac{26}{39}\\=\frac{6-26}{39}\\=\frac{-20}{39}\)
5. \(+\left(\frac{7}{11}\right)-\left(\frac{14}{-13}\right)\\= \frac{7}{11}+\frac{14}{13}\\=\frac{91}{143}+\frac{154}{143}\\=\frac{91+154}{143}\\=\frac{245}{143}\)
6. \(+\left(\frac{2}{11}\right)+\left(\frac{11}{8}\right)\\= \frac{2}{11}+\frac{11}{8}\\=\frac{16}{88}+\frac{121}{88}\\=\frac{16+121}{88}\\=\frac{137}{88}\)
7. \(+\left(\frac{-2}{-5}\right)-\left(\frac{9}{8}\right)\\= \frac{2}{5}-\frac{9}{8}\\=\frac{16}{40}-\frac{45}{40}\\=\frac{16-45}{40}\\=\frac{-29}{40}\)
8. \(+\left(\frac{13}{2}\right)-\left(\frac{14}{9}\right)\\= \frac{13}{2}-\frac{14}{9}\\=\frac{117}{18}-\frac{28}{18}\\=\frac{117-28}{18}\\=\frac{89}{18}\)
9. \(+\left(\frac{9}{-2}\right)+\left(\frac{-3}{-4}\right)\\= \frac{-9}{2}+\frac{3}{4}\\=\frac{-18}{4}+\frac{3}{4}\\=\frac{-18+3}{4}\\=\frac{-15}{4}\)
10. \(+\left(\frac{9}{13}\right)-\left(\frac{6}{-5}\right)\\= \frac{9}{13}+\frac{6}{5}\\=\frac{45}{65}+\frac{78}{65}\\=\frac{45+78}{65}\\=\frac{123}{65}\)
11. \(+\left(\frac{-6}{-11}\right)-\left(\frac{10}{-13}\right)\\= \frac{6}{11}+\frac{10}{13}\\=\frac{78}{143}+\frac{110}{143}\\=\frac{78+110}{143}\\=\frac{188}{143}\)
12. \(+\left(\frac{4}{-9}\right)-\left(\frac{-13}{5}\right)\\= \frac{-4}{9}+\frac{13}{5}\\=\frac{-20}{45}+\frac{117}{45}\\=\frac{-20+117}{45}\\=\frac{97}{45}\)