Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-19}{11}+\frac{2}{13}\\=\frac{-247}{143}+\frac{22}{143}\\=\frac{-247+22}{143}\\=\frac{-225}{143}\)
2. \(\frac{-13}{7}+\frac{2}{9}\\=\frac{-117}{63}+\frac{14}{63}\\=\frac{-117+14}{63}\\=\frac{-103}{63}\)
3. \(\frac{-17}{13}+\frac{10}{17}\\=\frac{-289}{221}+\frac{130}{221}\\=\frac{-289+130}{221}\\=\frac{-159}{221}\)
4. \(\frac{-9}{16}+\frac{14}{9}\\=\frac{-81}{144}+\frac{224}{144}\\=\frac{-81+224}{144}\\=\frac{143}{144}\)
5. \(\frac{3}{10}+\frac{10}{17}\\=\frac{51}{170}+\frac{100}{170}\\=\frac{51+100}{170}\\=\frac{151}{170}\)
6. \(\frac{20}{3}+\frac{20}{19}\\=\frac{380}{57}+\frac{60}{57}\\=\frac{380+60}{57}\\=\frac{440}{57}\)
7. \(\frac{-7}{4}+\frac{15}{16}\\=\frac{-28}{16}+\frac{15}{16}\\=\frac{-28+15}{16}\\=\frac{-13}{16}\\=\frac{13}{-16}\)
8. \(\frac{15}{4}+\frac{2}{19}\\=\frac{285}{76}+\frac{8}{76}\\=\frac{285+8}{76}\\=\frac{293}{76}\)
9. \(\frac{10}{7}+\frac{15}{16}\\=\frac{160}{112}+\frac{105}{112}\\=\frac{160+105}{112}\\=\frac{265}{112}\)
10. \(\frac{-4}{9}+\frac{3}{13}\\=\frac{-52}{117}+\frac{27}{117}\\=\frac{-52+27}{117}\\=\frac{-25}{117}\)
11. \(\frac{-3}{10}+\frac{8}{5}\\=\frac{-3+8}{10}\\=\frac{5}{10}\\=\frac{1}{2}\)
12. \(\frac{19}{4}+\frac{14}{9}\\=\frac{171}{36}+\frac{56}{36}\\=\frac{171+56}{36}\\=\frac{227}{36}\)