Breuken optellen (reeks 1)

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Tel de breuken op

1. \(\frac{6}{7}+\frac{2}{9}\)
2. \(\frac{3}{4}+\frac{2}{9}\)
3. \(\frac{7}{8}+\frac{5}{6}\)
4. \(\frac{10}{9}+\frac{10}{9}\)
5. \(\frac{9}{10}+\frac{3}{7}\)
6. \(\frac{10}{7}+\frac{9}{10}\)
7. \(\frac{4}{3}+\frac{4}{9}\)
8. \(\frac{5}{2}+\frac{3}{8}\)
9. \(\frac{5}{4}+\frac{3}{4}\)
10. \(\frac{7}{2}+\frac{3}{5}\)
11. \(\frac{4}{3}+\frac{4}{3}\)
12. \(\frac{10}{3}+\frac{7}{5}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{6}{7}+\frac{2}{9}\\=\frac{54}{63}+\frac{14}{63}\\=\frac{54+14}{63}\\=\frac{68}{63}\)
2. \(\frac{3}{4}+\frac{2}{9}\\=\frac{27}{36}+\frac{8}{36}\\=\frac{27+8}{36}\\=\frac{35}{36}\)
3. \(\frac{7}{8}+\frac{5}{6}\\=\frac{21}{24}+\frac{20}{24}\\=\frac{21+20}{24}\\=\frac{41}{24}\)
4. \(\frac{10}{9}+\frac{10}{9}\\=\frac{10+10}{9}\\=\frac{20}{9}\)
5. \(\frac{9}{10}+\frac{3}{7}\\=\frac{63}{70}+\frac{30}{70}\\=\frac{63+30}{70}\\=\frac{93}{70}\)
6. \(\frac{10}{7}+\frac{9}{10}\\=\frac{100}{70}+\frac{63}{70}\\=\frac{100+63}{70}\\=\frac{163}{70}\)
7. \(\frac{4}{3}+\frac{4}{9}\\=\frac{12}{9}+\frac{4}{9}\\=\frac{12+4}{9}\\=\frac{16}{9}\)
8. \(\frac{5}{2}+\frac{3}{8}\\=\frac{20}{8}+\frac{3}{8}\\=\frac{20+3}{8}\\=\frac{23}{8}\)
9. \(\frac{5}{4}+\frac{3}{4}\\=\frac{5+3}{4}\\=\frac{8}{4}\\=2\)
10. \(\frac{7}{2}+\frac{3}{5}\\=\frac{35}{10}+\frac{6}{10}\\=\frac{35+6}{10}\\=\frac{41}{10}\)
11. \(\frac{4}{3}+\frac{4}{3}\\=\frac{4+4}{3}\\=\frac{8}{3}\)
12. \(\frac{10}{3}+\frac{7}{5}\\=\frac{50}{15}+\frac{21}{15}\\=\frac{50+21}{15}\\=\frac{71}{15}\)