Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-2}{9}+\frac{10}{3}\\=\frac{-2+10}{9}\\=\frac{8}{9}\)
2. \(\frac{-13}{14}+\frac{14}{15}\\=\frac{-195}{210}+\frac{196}{210}\\=\frac{-195+196}{210}\\=\frac{1}{210}\)
3. \(\frac{1}{20}+\frac{7}{10}\\=\frac{1+7}{20}\\=\frac{8}{20}\\=\frac{2}{5}\)
4. \(\frac{3}{4}+\frac{11}{2}\\=\frac{3+11}{4}\\=\frac{14}{4}\\=\frac{7}{2}\)
5. \(\frac{-3}{2}+\frac{3}{19}\\=\frac{-57}{38}+\frac{6}{38}\\=\frac{-57+6}{38}\\=\frac{-51}{38}\\=\frac{51}{-38}\)
6. \(\frac{11}{4}+\frac{11}{15}\\=\frac{165}{60}+\frac{44}{60}\\=\frac{165+44}{60}\\=\frac{209}{60}\)
7. \(\frac{14}{15}+\frac{18}{19}\\=\frac{266}{285}+\frac{270}{285}\\=\frac{266+270}{285}\\=\frac{536}{285}\)
8. \(\frac{20}{17}+\frac{16}{3}\\=\frac{60}{51}+\frac{272}{51}\\=\frac{60+272}{51}\\=\frac{332}{51}\)
9. \(\frac{-15}{14}+\frac{3}{5}\\=\frac{-75}{70}+\frac{42}{70}\\=\frac{-75+42}{70}\\=\frac{-33}{70}\\=\frac{33}{-70}\)
10. \(\frac{3}{4}+\frac{18}{17}\\=\frac{51}{68}+\frac{72}{68}\\=\frac{51+72}{68}\\=\frac{123}{68}\)
11. \(\frac{15}{4}+\frac{15}{4}\\=\frac{15+15}{4}\\=\frac{30}{4}\\=\frac{15}{2}\)
12. \(\frac{-18}{13}+\frac{18}{17}\\=\frac{-306}{221}+\frac{234}{221}\\=\frac{-306+234}{221}\\=\frac{-72}{221}\)