Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-1}{11}+\frac{12}{17}\\=\frac{-17}{187}+\frac{132}{187}\\=\frac{-17+132}{187}\\=\frac{115}{187}\)
2. \(\frac{-8}{17}+\frac{20}{9}\\=\frac{-72}{153}+\frac{340}{153}\\=\frac{-72+340}{153}\\=\frac{268}{153}\)
3. \(\frac{-14}{11}+\frac{8}{9}\\=\frac{-126}{99}+\frac{88}{99}\\=\frac{-126+88}{99}\\=\frac{-38}{99}\)
4. \(\frac{5}{13}+\frac{8}{3}\\=\frac{15}{39}+\frac{104}{39}\\=\frac{15+104}{39}\\=\frac{119}{39}\)
5. \(\frac{-7}{12}+\frac{4}{9}\\=\frac{-21}{36}+\frac{16}{36}\\=\frac{-21+16}{36}\\=\frac{-5}{36}\)
6. \(\frac{-14}{9}+\frac{13}{4}\\=\frac{-56}{36}+\frac{117}{36}\\=\frac{-56+117}{36}\\=\frac{61}{36}\)
7. \(\frac{13}{18}+\frac{10}{7}\\=\frac{91}{126}+\frac{180}{126}\\=\frac{91+180}{126}\\=\frac{271}{126}\)
8. \(\frac{16}{9}+\frac{12}{5}\\=\frac{80}{45}+\frac{108}{45}\\=\frac{80+108}{45}\\=\frac{188}{45}\)
9. \(\frac{20}{3}+\frac{7}{8}\\=\frac{160}{24}+\frac{21}{24}\\=\frac{160+21}{24}\\=\frac{181}{24}\)
10. \(\frac{-2}{19}+\frac{3}{7}\\=\frac{-14}{133}+\frac{57}{133}\\=\frac{-14+57}{133}\\=\frac{43}{133}\)
11. \(\frac{-5}{7}+\frac{6}{7}\\=\frac{-5+6}{7}\\=\frac{1}{7}\)
12. \(\frac{2}{15}+\frac{6}{7}\\=\frac{14}{105}+\frac{90}{105}\\=\frac{14+90}{105}\\=\frac{104}{105}\)