Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{3}{17}+\frac{2}{5}\\=\frac{15}{85}+\frac{34}{85}\\=\frac{15+34}{85}\\=\frac{49}{85}\)
2. \(\frac{-6}{7}+\frac{20}{7}\\=\frac{-6+20}{7}\\=\frac{14}{7}\\=\frac{2}{1}\)
3. \(\frac{13}{17}+\frac{16}{11}\\=\frac{143}{187}+\frac{272}{187}\\=\frac{143+272}{187}\\=\frac{415}{187}\)
4. \(\frac{-14}{9}+\frac{17}{16}\\=\frac{-224}{144}+\frac{153}{144}\\=\frac{-224+153}{144}\\=\frac{-71}{144}\\=\frac{71}{-144}\)
5. \(\frac{-15}{13}+\frac{7}{10}\\=\frac{-150}{130}+\frac{91}{130}\\=\frac{-150+91}{130}\\=\frac{-59}{130}\)
6. \(\frac{-17}{2}+\frac{6}{7}\\=\frac{-119}{14}+\frac{12}{14}\\=\frac{-119+12}{14}\\=\frac{-107}{14}\)
7. \(\frac{-15}{2}+\frac{3}{4}\\=\frac{-30}{4}+\frac{3}{4}\\=\frac{-30+3}{4}\\=\frac{-27}{4}\)
8. \(\frac{19}{5}+\frac{13}{9}\\=\frac{171}{45}+\frac{65}{45}\\=\frac{171+65}{45}\\=\frac{236}{45}\)
9. \(\frac{6}{19}+\frac{7}{9}\\=\frac{54}{171}+\frac{133}{171}\\=\frac{54+133}{171}\\=\frac{187}{171}\)
10. \(\frac{19}{7}+\frac{20}{9}\\=\frac{171}{63}+\frac{140}{63}\\=\frac{171+140}{63}\\=\frac{311}{63}\)
11. \(\frac{-19}{9}+\frac{2}{5}\\=\frac{-95}{45}+\frac{18}{45}\\=\frac{-95+18}{45}\\=\frac{-77}{45}\)
12. \(\frac{9}{14}+\frac{3}{2}\\=\frac{9+3}{14}\\=\frac{12}{14}\\=\frac{6}{7}\)