Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{16}{3}+\frac{7}{3}\\=\frac{16+7}{3}\\=\frac{23}{3}\)
2. \(\frac{10}{7}+\frac{8}{5}\\=\frac{50}{35}+\frac{56}{35}\\=\frac{50+56}{35}\\=\frac{106}{35}\)
3. \(\frac{17}{19}+\frac{19}{3}\\=\frac{51}{57}+\frac{361}{57}\\=\frac{51+361}{57}\\=\frac{412}{57}\)
4. \(\frac{3}{7}+\frac{20}{11}\\=\frac{33}{77}+\frac{140}{77}\\=\frac{33+140}{77}\\=\frac{173}{77}\)
5. \(\frac{2}{3}+\frac{5}{2}\\=\frac{4}{6}+\frac{15}{6}\\=\frac{4+15}{6}\\=\frac{19}{6}\)
6. \(\frac{17}{18}+\frac{13}{3}\\=\frac{17+13}{18}\\=\frac{30}{18}\\=\frac{5}{3}\)
7. \(\frac{-12}{17}+\frac{10}{11}\\=\frac{-132}{187}+\frac{170}{187}\\=\frac{-132+170}{187}\\=\frac{38}{187}\)
8. \(\frac{8}{7}+\frac{10}{17}\\=\frac{136}{119}+\frac{70}{119}\\=\frac{136+70}{119}\\=\frac{206}{119}\)
9. \(\frac{-16}{7}+\frac{12}{5}\\=\frac{-80}{35}+\frac{84}{35}\\=\frac{-80+84}{35}\\=\frac{4}{35}\)
10. \(\frac{-4}{17}+\frac{12}{7}\\=\frac{-28}{119}+\frac{204}{119}\\=\frac{-28+204}{119}\\=\frac{176}{119}\)
11. \(\frac{8}{11}+\frac{14}{9}\\=\frac{72}{99}+\frac{154}{99}\\=\frac{72+154}{99}\\=\frac{226}{99}\)
12. \(\frac{-15}{16}+\frac{9}{16}\\=\frac{-15+9}{16}\\=\frac{-6}{16}\\=\frac{3}{-8}\)