Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{3}+\frac{4}{9}\\=\frac{30}{9}+\frac{4}{9}\\=\frac{30+4}{9}\\=\frac{34}{9}\)
2. \(\frac{5}{2}+\frac{4}{3}\\=\frac{15}{6}+\frac{8}{6}\\=\frac{15+8}{6}\\=\frac{23}{6}\)
3. \(\frac{6}{5}+\frac{10}{9}\\=\frac{54}{45}+\frac{50}{45}\\=\frac{54+50}{45}\\=\frac{104}{45}\)
4. \(\frac{7}{2}+\frac{3}{4}\\=\frac{14}{4}+\frac{3}{4}\\=\frac{14+3}{4}\\=\frac{17}{4}\)
5. \(\frac{9}{2}+\frac{8}{5}\\=\frac{45}{10}+\frac{16}{10}\\=\frac{45+16}{10}\\=\frac{61}{10}\)
6. \(\frac{9}{8}+\frac{6}{11}\\=\frac{99}{88}+\frac{48}{88}\\=\frac{99+48}{88}\\=\frac{147}{88}\)
7. \(\frac{6}{5}+\frac{6}{7}\\=\frac{42}{35}+\frac{30}{35}\\=\frac{42+30}{35}\\=\frac{72}{35}\)
8. \(\frac{6}{11}+\frac{2}{5}\\=\frac{30}{55}+\frac{22}{55}\\=\frac{30+22}{55}\\=\frac{52}{55}\)
9. \(\frac{10}{9}+\frac{7}{9}\\=\frac{10+7}{9}\\=\frac{17}{9}\)
10. \(\frac{4}{3}+\frac{9}{8}\\=\frac{32}{24}+\frac{27}{24}\\=\frac{32+27}{24}\\=\frac{59}{24}\)
11. \(\frac{6}{7}+\frac{4}{7}\\=\frac{6+4}{7}\\=\frac{10}{7}\)
12. \(\frac{6}{11}+\frac{3}{7}\\=\frac{42}{77}+\frac{33}{77}\\=\frac{42+33}{77}\\=\frac{75}{77}\)