Breuken optellen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Tel de breuken op

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

---

Tel de breuken op

Verbetersleutel

1. \(\frac{9}{8}+\frac{8}{9}\\=\frac{81}{72}+\frac{64}{72}\\=\frac{81+64}{72}\\=\frac{145}{72}\)
2. \(\frac{7}{11}+\frac{3}{10}\\=\frac{70}{110}+\frac{33}{110}\\=\frac{70+33}{110}\\=\frac{103}{110}\)
3. \(\frac{3}{4}+\frac{2}{5}\\=\frac{15}{20}+\frac{8}{20}\\=\frac{15+8}{20}\\=\frac{23}{20}\)
4. \(\frac{8}{7}+\frac{4}{5}\\=\frac{40}{35}+\frac{28}{35}\\=\frac{40+28}{35}\\=\frac{68}{35}\)
5. \(\frac{9}{5}+\frac{10}{7}\\=\frac{63}{35}+\frac{50}{35}\\=\frac{63+50}{35}\\=\frac{113}{35}\)
6. \(\frac{10}{7}+\frac{10}{9}\\=\frac{90}{63}+\frac{70}{63}\\=\frac{90+70}{63}\\=\frac{160}{63}\)
7. \(\frac{9}{2}+\frac{4}{11}\\=\frac{99}{22}+\frac{8}{22}\\=\frac{99+8}{22}\\=\frac{107}{22}\)
8. \(\frac{2}{3}+\frac{5}{11}\\=\frac{22}{33}+\frac{15}{33}\\=\frac{22+15}{33}\\=\frac{37}{33}\)
9. \(\frac{7}{3}+\frac{3}{10}\\=\frac{70}{30}+\frac{9}{30}\\=\frac{70+9}{30}\\=\frac{79}{30}\)
10. \(\frac{3}{2}+\frac{5}{11}\\=\frac{33}{22}+\frac{10}{22}\\=\frac{33+10}{22}\\=\frac{43}{22}\)
11. \(\frac{7}{2}+\frac{4}{3}\\=\frac{21}{6}+\frac{8}{6}\\=\frac{21+8}{6}\\=\frac{29}{6}\)
12. \(\frac{6}{11}+\frac{4}{9}\\=\frac{54}{99}+\frac{44}{99}\\=\frac{54+44}{99}\\=\frac{98}{99}\)