Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{20}{3}+\frac{4}{9}\)
2. \(\frac{20}{3}+\frac{17}{8}\)
3. \(\frac{19}{8}+\frac{5}{17}\)
4. \(\frac{-9}{19}+\frac{13}{8}\)
5. \(\frac{10}{7}+\frac{5}{18}\)
6. \(\frac{-15}{19}+\frac{15}{2}\)
7. \(\frac{12}{11}+\frac{3}{7}\)
8. \(\frac{4}{3}+\frac{4}{7}\)
9. \(\frac{8}{7}+\frac{6}{11}\)
10. \(\frac{-14}{15}+\frac{16}{17}\)
11. \(\frac{-3}{10}+\frac{8}{19}\)
12. \(\frac{-1}{11}+\frac{9}{7}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{20}{3}+\frac{4}{9}\\=\frac{60}{9}+\frac{4}{9}\\=\frac{60+4}{9}\\=\frac{64}{9}\)
2. \(\frac{20}{3}+\frac{17}{8}\\=\frac{160}{24}+\frac{51}{24}\\=\frac{160+51}{24}\\=\frac{211}{24}\)
3. \(\frac{19}{8}+\frac{5}{17}\\=\frac{323}{136}+\frac{40}{136}\\=\frac{323+40}{136}\\=\frac{363}{136}\)
4. \(\frac{-9}{19}+\frac{13}{8}\\=\frac{-72}{152}+\frac{247}{152}\\=\frac{-72+247}{152}\\=\frac{175}{152}\)
5. \(\frac{10}{7}+\frac{5}{18}\\=\frac{180}{126}+\frac{35}{126}\\=\frac{180+35}{126}\\=\frac{215}{126}\)
6. \(\frac{-15}{19}+\frac{15}{2}\\=\frac{-30}{38}+\frac{285}{38}\\=\frac{-30+285}{38}\\=\frac{255}{38}\)
7. \(\frac{12}{11}+\frac{3}{7}\\=\frac{84}{77}+\frac{33}{77}\\=\frac{84+33}{77}\\=\frac{117}{77}\)
8. \(\frac{4}{3}+\frac{4}{7}\\=\frac{28}{21}+\frac{12}{21}\\=\frac{28+12}{21}\\=\frac{40}{21}\)
9. \(\frac{8}{7}+\frac{6}{11}\\=\frac{88}{77}+\frac{42}{77}\\=\frac{88+42}{77}\\=\frac{130}{77}\)
10. \(\frac{-14}{15}+\frac{16}{17}\\=\frac{-238}{255}+\frac{240}{255}\\=\frac{-238+240}{255}\\=\frac{2}{255}\)
11. \(\frac{-3}{10}+\frac{8}{19}\\=\frac{-57}{190}+\frac{80}{190}\\=\frac{-57+80}{190}\\=\frac{23}{190}\)
12. \(\frac{-1}{11}+\frac{9}{7}\\=\frac{-7}{77}+\frac{99}{77}\\=\frac{-7+99}{77}\\=\frac{92}{77}\)