Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

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

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-7}{8} . \frac{6}{10}.\left(\frac{5}{-4}\right)\\=+\frac{7}{8}.\frac{3}{5}.\frac{5}{4}\\=+\frac{7.3.5}{8.5.4}\\=\frac{105}{160}\\=\frac{21}{32}\)
2. \(\frac{5}{8} . \left(\frac{8}{-12}\right).\left(\frac{-7}{7}\right)\\=+\frac{5}{8}.\frac{2}{3}.\frac{1}{1}\\=+\frac{5.2.1}{8.3.1}\\=\frac{10}{24}\\=\frac{5}{12}\)
3. \(\frac{4}{-19} . \frac{5}{9}.\left(\frac{10}{-4}\right)\\=+\frac{4}{19}.\frac{5}{9}.\frac{5}{2}\\=+\frac{4.5.5}{19.9.2}\\=\frac{100}{342}\\=\frac{50}{171}\)
4. \(\frac{9}{-7} . \left(\frac{12}{-2}\right).\left(\frac{-9}{-5}\right)\\=+\frac{9}{7}.\frac{6}{1}.\frac{9}{5}\\=+\frac{9.6.9}{7.1.5}\\=\frac{486}{35}\)
5. \(\frac{10}{-17} . \left(\frac{12}{-9}\right).\frac{12}{9}\\=+\frac{10}{17}.\frac{4}{3}.\frac{4}{3}\\=+\frac{10.4.4}{17.3.3}\\=\frac{160}{153}\)
6. \(\frac{12}{-13} . \frac{10}{8}.\left(\frac{-2}{-9}\right)\\=-\frac{12}{13}.\frac{5}{4}.\frac{2}{9}\\=-\frac{12.5.2}{13.4.9}\\=-\frac{120}{468}\\=-\frac{10}{39}\)
7. \(\frac{2}{17} . \frac{4}{11}.\left(\frac{6}{-5}\right)\\=-\frac{2.4.6}{17.11.5}\\=-\frac{48}{935}\)
8. \(\frac{-5}{8} . \left(\frac{-6}{-2}\right).\left(\frac{-10}{-11}\right)\\=-\frac{5}{8}.\frac{3}{1}.\frac{10}{11}\\=-\frac{5.3.10}{8.1.11}\\=-\frac{150}{88}\\=-\frac{75}{44}\)
9. \(\frac{4}{7} . \left(\frac{-2}{4}\right).\left(\frac{-6}{-6}\right)\\=-\frac{4}{7}.\frac{1}{2}.\frac{1}{1}\\=-\frac{4.1.1}{7.2.1}\\=-\frac{4}{14}\\=-\frac{2}{7}\)
10. \(\frac{2}{-15} . \left(\frac{-10}{12}\right).\left(\frac{-6}{-4}\right)\\=+\frac{2}{15}.\frac{5}{6}.\frac{3}{2}\\=+\frac{2.5.3}{15.6.2}\\=\frac{30}{180}\\=\frac{1}{6}\)
11. \(\frac{8}{3} . \left(\frac{-9}{6}\right).\left(\frac{-9}{-7}\right)\\=-\frac{8}{3}.\frac{3}{2}.\frac{9}{7}\\=-\frac{8.3.9}{3.2.7}\\=-\frac{216}{42}\\=-\frac{36}{7}\)
12. \(\frac{-12}{-11} . \left(\frac{-2}{-3}\right).\left(\frac{8}{-7}\right)\\=-\frac{12.2.8}{11.3.7}\\=-\frac{192}{231}\\=-\frac{64}{77}\)