Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{-3}{19}+\frac{7}{17}\)
2. \(\frac{13}{7}+\frac{10}{9}\)
3. \(\frac{8}{19}+\frac{3}{10}\)
4. \(\frac{-1}{11}+\frac{10}{7}\)
5. \(\frac{-4}{5}+\frac{7}{11}\)
6. \(\frac{1}{8}+\frac{18}{11}\)
7. \(\frac{-20}{3}+\frac{17}{6}\)
8. \(\frac{20}{7}+\frac{3}{10}\)
9. \(\frac{18}{13}+\frac{9}{2}\)
10. \(\frac{-14}{15}+\frac{19}{7}\)
11. \(\frac{-2}{13}+\frac{17}{16}\)
12. \(\frac{-18}{11}+\frac{6}{17}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{-3}{19}+\frac{7}{17}\\=\frac{-51}{323}+\frac{133}{323}\\=\frac{-51+133}{323}\\=\frac{82}{323}\)
2. \(\frac{13}{7}+\frac{10}{9}\\=\frac{117}{63}+\frac{70}{63}\\=\frac{117+70}{63}\\=\frac{187}{63}\)
3. \(\frac{8}{19}+\frac{3}{10}\\=\frac{80}{190}+\frac{57}{190}\\=\frac{80+57}{190}\\=\frac{137}{190}\)
4. \(\frac{-1}{11}+\frac{10}{7}\\=\frac{-7}{77}+\frac{110}{77}\\=\frac{-7+110}{77}\\=\frac{103}{77}\)
5. \(\frac{-4}{5}+\frac{7}{11}\\=\frac{-44}{55}+\frac{35}{55}\\=\frac{-44+35}{55}\\=\frac{-9}{55}\)
6. \(\frac{1}{8}+\frac{18}{11}\\=\frac{11}{88}+\frac{144}{88}\\=\frac{11+144}{88}\\=\frac{155}{88}\)
7. \(\frac{-20}{3}+\frac{17}{6}\\=\frac{-40}{6}+\frac{17}{6}\\=\frac{-40+17}{6}\\=\frac{-23}{6}\)
8. \(\frac{20}{7}+\frac{3}{10}\\=\frac{200}{70}+\frac{21}{70}\\=\frac{200+21}{70}\\=\frac{221}{70}\)
9. \(\frac{18}{13}+\frac{9}{2}\\=\frac{36}{26}+\frac{117}{26}\\=\frac{36+117}{26}\\=\frac{153}{26}\)
10. \(\frac{-14}{15}+\frac{19}{7}\\=\frac{-98}{105}+\frac{285}{105}\\=\frac{-98+285}{105}\\=\frac{187}{105}\)
11. \(\frac{-2}{13}+\frac{17}{16}\\=\frac{-32}{208}+\frac{221}{208}\\=\frac{-32+221}{208}\\=\frac{189}{208}\)
12. \(\frac{-18}{11}+\frac{6}{17}\\=\frac{-306}{187}+\frac{66}{187}\\=\frac{-306+66}{187}\\=\frac{-240}{187}\\=\frac{240}{-187}\)