Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{9}{8}+\frac{4}{9}\\=\frac{81}{72}+\frac{32}{72}\\=\frac{81+32}{72}\\=\frac{113}{72}\)
2. \(\frac{3}{2}+\frac{6}{5}\\=\frac{15}{10}+\frac{12}{10}\\=\frac{15+12}{10}\\=\frac{27}{10}\)
3. \(\frac{10}{7}+\frac{6}{5}\\=\frac{50}{35}+\frac{42}{35}\\=\frac{50+42}{35}\\=\frac{92}{35}\)
4. \(\frac{3}{2}+\frac{4}{11}\\=\frac{33}{22}+\frac{8}{22}\\=\frac{33+8}{22}\\=\frac{41}{22}\)
5. \(\frac{7}{2}+\frac{9}{10}\\=\frac{35}{10}+\frac{9}{10}\\=\frac{35+9}{10}\\=\frac{44}{10}\\=\frac{22}{5}\)
6. \(\frac{10}{7}+\frac{3}{4}\\=\frac{40}{28}+\frac{21}{28}\\=\frac{40+21}{28}\\=\frac{61}{28}\)
7. \(\frac{7}{8}+\frac{5}{8}\\=\frac{7+5}{8}\\=\frac{12}{8}\\=\frac{3}{2}\)
8. \(\frac{7}{8}+\frac{2}{7}\\=\frac{49}{56}+\frac{16}{56}\\=\frac{49+16}{56}\\=\frac{65}{56}\)
9. \(\frac{5}{6}+\frac{2}{3}\\=\frac{5+2}{6}\\=\frac{7}{6}\)
10. \(\frac{7}{6}+\frac{6}{11}\\=\frac{77}{66}+\frac{36}{66}\\=\frac{77+36}{66}\\=\frac{113}{66}\)
11. \(\frac{6}{5}+\frac{7}{10}\\=\frac{12}{10}+\frac{7}{10}\\=\frac{12+7}{10}\\=\frac{19}{10}\)
12. \(\frac{7}{8}+\frac{3}{11}\\=\frac{77}{88}+\frac{24}{88}\\=\frac{77+24}{88}\\=\frac{101}{88}\)