Breuken optellen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Tel de breuken op

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

---

Tel de breuken op

Verbetersleutel

1. \(\frac{5}{8}+\frac{2}{7}\\=\frac{35}{56}+\frac{16}{56}\\=\frac{35+16}{56}\\=\frac{51}{56}\)
2. \(\frac{8}{5}+\frac{6}{11}\\=\frac{88}{55}+\frac{30}{55}\\=\frac{88+30}{55}\\=\frac{118}{55}\)
3. \(\frac{3}{7}+\frac{2}{7}\\=\frac{3+2}{7}\\=\frac{5}{7}\)
4. \(\frac{6}{5}+\frac{3}{11}\\=\frac{66}{55}+\frac{15}{55}\\=\frac{66+15}{55}\\=\frac{81}{55}\)
5. \(\frac{5}{6}+\frac{4}{9}\\=\frac{15}{18}+\frac{8}{18}\\=\frac{15+8}{18}\\=\frac{23}{18}\)
6. \(\frac{5}{8}+\frac{3}{8}\\=\frac{5+3}{8}\\=\frac{8}{8}\\=1\)
7. \(\frac{6}{5}+\frac{2}{3}\\=\frac{18}{15}+\frac{10}{15}\\=\frac{18+10}{15}\\=\frac{28}{15}\)
8. \(\frac{10}{3}+\frac{4}{9}\\=\frac{30}{9}+\frac{4}{9}\\=\frac{30+4}{9}\\=\frac{34}{9}\)
9. \(\frac{9}{7}+\frac{4}{7}\\=\frac{9+4}{7}\\=\frac{13}{7}\)
10. \(\frac{9}{2}+\frac{3}{5}\\=\frac{45}{10}+\frac{6}{10}\\=\frac{45+6}{10}\\=\frac{51}{10}\)
11. \(\frac{8}{5}+\frac{9}{7}\\=\frac{56}{35}+\frac{45}{35}\\=\frac{56+45}{35}\\=\frac{101}{35}\)
12. \(\frac{6}{7}+\frac{4}{11}\\=\frac{66}{77}+\frac{28}{77}\\=\frac{66+28}{77}\\=\frac{94}{77}\)