Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{19}{13}+\frac{4}{9}\\=\frac{171}{117}+\frac{52}{117}\\=\frac{171+52}{117}\\=\frac{223}{117}\)
2. \(\frac{-20}{13}+\frac{20}{7}\\=\frac{-140}{91}+\frac{260}{91}\\=\frac{-140+260}{91}\\=\frac{120}{91}\)
3. \(\frac{14}{15}+\frac{7}{4}\\=\frac{56}{60}+\frac{105}{60}\\=\frac{56+105}{60}\\=\frac{161}{60}\)
4. \(\frac{19}{9}+\frac{11}{4}\\=\frac{76}{36}+\frac{99}{36}\\=\frac{76+99}{36}\\=\frac{175}{36}\)
5. \(\frac{-19}{3}+\frac{8}{17}\\=\frac{-323}{51}+\frac{24}{51}\\=\frac{-323+24}{51}\\=\frac{-299}{51}\)
6. \(\frac{-3}{2}+\frac{19}{18}\\=\frac{-27}{18}+\frac{19}{18}\\=\frac{-27+19}{18}\\=\frac{-8}{18}\\=\frac{-4}{9}\)
7. \(\frac{-3}{16}+\frac{9}{17}\\=\frac{-51}{272}+\frac{144}{272}\\=\frac{-51+144}{272}\\=\frac{93}{272}\)
8. \(\frac{-9}{17}+\frac{20}{13}\\=\frac{-117}{221}+\frac{340}{221}\\=\frac{-117+340}{221}\\=\frac{223}{221}\)
9. \(\frac{-5}{3}+\frac{3}{14}\\=\frac{-70}{42}+\frac{9}{42}\\=\frac{-70+9}{42}\\=\frac{-61}{42}\)
10. \(\frac{-12}{17}+\frac{4}{11}\\=\frac{-132}{187}+\frac{68}{187}\\=\frac{-132+68}{187}\\=\frac{-64}{187}\\=\frac{64}{-187}\)
11. \(\frac{-13}{11}+\frac{13}{11}\\=\frac{-13+13}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
12. \(\frac{7}{6}+\frac{11}{6}\\=\frac{7+11}{6}\\=\frac{18}{6}\\=\frac{3}{1}\)