Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-3}{13}+\frac{17}{20}\\=\frac{-60}{260}+\frac{221}{260}\\=\frac{-60+221}{260}\\=\frac{161}{260}\)
2. \(\frac{2}{19}+\frac{17}{19}\\=\frac{2+17}{19}\\=\frac{19}{19}\\=\frac{1}{1}\)
3. \(\frac{-13}{4}+\frac{10}{3}\\=\frac{-39}{12}+\frac{40}{12}\\=\frac{-39+40}{12}\\=\frac{1}{12}\)
4. \(\frac{11}{19}+\frac{7}{6}\\=\frac{66}{114}+\frac{133}{114}\\=\frac{66+133}{114}\\=\frac{199}{114}\)
5. \(\frac{8}{15}+\frac{6}{7}\\=\frac{56}{105}+\frac{90}{105}\\=\frac{56+90}{105}\\=\frac{146}{105}\)
6. \(\frac{10}{13}+\frac{16}{3}\\=\frac{30}{39}+\frac{208}{39}\\=\frac{30+208}{39}\\=\frac{238}{39}\)
7. \(\frac{-16}{11}+\frac{8}{19}\\=\frac{-304}{209}+\frac{88}{209}\\=\frac{-304+88}{209}\\=\frac{-216}{209}\\=\frac{216}{-209}\)
8. \(\frac{-4}{15}+\frac{4}{9}\\=\frac{-12}{45}+\frac{20}{45}\\=\frac{-12+20}{45}\\=\frac{8}{45}\)
9. \(\frac{18}{17}+\frac{11}{5}\\=\frac{90}{85}+\frac{187}{85}\\=\frac{90+187}{85}\\=\frac{277}{85}\)
10. \(\frac{-11}{18}+\frac{12}{5}\\=\frac{-55}{90}+\frac{216}{90}\\=\frac{-55+216}{90}\\=\frac{161}{90}\)
11. \(\frac{-19}{17}+\frac{4}{19}\\=\frac{-361}{323}+\frac{68}{323}\\=\frac{-361+68}{323}\\=\frac{-293}{323}\)
12. \(\frac{-3}{14}+\frac{15}{13}\\=\frac{-39}{182}+\frac{210}{182}\\=\frac{-39+210}{182}\\=\frac{171}{182}\)