Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-17}{15}+\frac{7}{6}\\=\frac{-34}{30}+\frac{35}{30}\\=\frac{-34+35}{30}\\=\frac{1}{30}\)
2. \(\frac{9}{16}+\frac{16}{9}\\=\frac{81}{144}+\frac{256}{144}\\=\frac{81+256}{144}\\=\frac{337}{144}\)
3. \(\frac{-18}{11}+\frac{11}{7}\\=\frac{-126}{77}+\frac{121}{77}\\=\frac{-126+121}{77}\\=\frac{-5}{77}\\=\frac{5}{-77}\)
4. \(\frac{-9}{16}+\frac{16}{3}\\=\frac{-27}{48}+\frac{256}{48}\\=\frac{-27+256}{48}\\=\frac{229}{48}\)
5. \(\frac{11}{12}+\frac{10}{7}\\=\frac{77}{84}+\frac{120}{84}\\=\frac{77+120}{84}\\=\frac{197}{84}\)
6. \(\frac{-14}{3}+\frac{18}{19}\\=\frac{-266}{57}+\frac{54}{57}\\=\frac{-266+54}{57}\\=\frac{-212}{57}\)
7. \(\frac{19}{11}+\frac{4}{13}\\=\frac{247}{143}+\frac{44}{143}\\=\frac{247+44}{143}\\=\frac{291}{143}\)
8. \(\frac{-13}{7}+\frac{12}{5}\\=\frac{-65}{35}+\frac{84}{35}\\=\frac{-65+84}{35}\\=\frac{19}{35}\)
9. \(\frac{4}{3}+\frac{15}{2}\\=\frac{8}{6}+\frac{45}{6}\\=\frac{8+45}{6}\\=\frac{53}{6}\)
10. \(\frac{-4}{9}+\frac{15}{2}\\=\frac{-8}{18}+\frac{135}{18}\\=\frac{-8+135}{18}\\=\frac{127}{18}\)
11. \(\frac{18}{13}+\frac{4}{3}\\=\frac{54}{39}+\frac{52}{39}\\=\frac{54+52}{39}\\=\frac{106}{39}\)
12. \(\frac{20}{13}+\frac{8}{15}\\=\frac{300}{195}+\frac{104}{195}\\=\frac{300+104}{195}\\=\frac{404}{195}\)