Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{5}+\frac{10}{7}\\=\frac{56}{35}+\frac{50}{35}\\=\frac{56+50}{35}\\=\frac{106}{35}\)
2. \(\frac{8}{3}+\frac{4}{7}\\=\frac{56}{21}+\frac{12}{21}\\=\frac{56+12}{21}\\=\frac{68}{21}\)
3. \(\frac{10}{11}+\frac{6}{11}\\=\frac{10+6}{11}\\=\frac{16}{11}\)
4. \(\frac{9}{2}+\frac{10}{11}\\=\frac{99}{22}+\frac{20}{22}\\=\frac{99+20}{22}\\=\frac{119}{22}\)
5. \(\frac{3}{2}+\frac{10}{7}\\=\frac{21}{14}+\frac{20}{14}\\=\frac{21+20}{14}\\=\frac{41}{14}\)
6. \(\frac{8}{11}+\frac{3}{7}\\=\frac{56}{77}+\frac{33}{77}\\=\frac{56+33}{77}\\=\frac{89}{77}\)
7. \(\frac{5}{4}+\frac{8}{11}\\=\frac{55}{44}+\frac{32}{44}\\=\frac{55+32}{44}\\=\frac{87}{44}\)
8. \(\frac{5}{8}+\frac{2}{11}\\=\frac{55}{88}+\frac{16}{88}\\=\frac{55+16}{88}\\=\frac{71}{88}\)
9. \(\frac{5}{2}+\frac{3}{2}\\=\frac{5+3}{2}\\=\frac{8}{2}\\=4\)
10. \(\frac{6}{5}+\frac{7}{6}\\=\frac{36}{30}+\frac{35}{30}\\=\frac{36+35}{30}\\=\frac{71}{30}\)
11. \(\frac{10}{7}+\frac{6}{11}\\=\frac{110}{77}+\frac{42}{77}\\=\frac{110+42}{77}\\=\frac{152}{77}\)
12. \(\frac{10}{3}+\frac{8}{3}\\=\frac{10+8}{3}\\=\frac{18}{3}\\=6\)