Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-6}{17}+\frac{3}{7}\\=\frac{-42}{119}+\frac{51}{119}\\=\frac{-42+51}{119}\\=\frac{9}{119}\)
2. \(\frac{17}{11}+\frac{14}{17}\\=\frac{289}{187}+\frac{154}{187}\\=\frac{289+154}{187}\\=\frac{443}{187}\)
3. \(\frac{-7}{2}+\frac{7}{13}\\=\frac{-91}{26}+\frac{14}{26}\\=\frac{-91+14}{26}\\=\frac{-77}{26}\)
4. \(\frac{15}{14}+\frac{18}{17}\\=\frac{255}{238}+\frac{252}{238}\\=\frac{255+252}{238}\\=\frac{507}{238}\)
5. \(\frac{11}{16}+\frac{18}{5}\\=\frac{55}{80}+\frac{288}{80}\\=\frac{55+288}{80}\\=\frac{343}{80}\)
6. \(\frac{-9}{16}+\frac{19}{4}\\=\frac{-9+19}{16}\\=\frac{10}{16}\\=\frac{5}{8}\)
7. \(\frac{-6}{7}+\frac{6}{17}\\=\frac{-102}{119}+\frac{42}{119}\\=\frac{-102+42}{119}\\=\frac{-60}{119}\\=\frac{60}{-119}\)
8. \(\frac{-12}{7}+\frac{18}{17}\\=\frac{-204}{119}+\frac{126}{119}\\=\frac{-204+126}{119}\\=\frac{-78}{119}\\=\frac{78}{-119}\)
9. \(\frac{-10}{7}+\frac{3}{19}\\=\frac{-190}{133}+\frac{21}{133}\\=\frac{-190+21}{133}\\=\frac{-169}{133}\)
10. \(\frac{5}{7}+\frac{6}{19}\\=\frac{95}{133}+\frac{42}{133}\\=\frac{95+42}{133}\\=\frac{137}{133}\)
11. \(\frac{3}{10}+\frac{19}{6}\\=\frac{9}{30}+\frac{95}{30}\\=\frac{9+95}{30}\\=\frac{104}{30}\\=\frac{52}{15}\)
12. \(\frac{18}{19}+\frac{5}{8}\\=\frac{144}{152}+\frac{95}{152}\\=\frac{144+95}{152}\\=\frac{239}{152}\)