Дефиниција, особине, решени задаци.
Текст задатака објашњених у видео лекцији:
Пр.1) Израчунати:
а) $\frac{4}{5} - \frac{2}{5}$
б) $\frac{7}{9} - \frac{1}{9}$
в) $3\frac{2}{3} - 2\frac{1}{3}$
г) $2\frac{3}{8} - 1\frac{3}{8}$
д) $3\frac{1}{9} - 1\frac{5}{9}$ ђ) $3 - 1\frac{3}{7}$Пр.2) Израчунај: а) $\frac{1}{2} - \frac{1}{3}$ б) $\frac{3}{5} - \frac{3}{7}$ в) $\frac{5}{6} - \frac{3}{4}$ г) $5\frac{7}{{10}} - 1\frac{2}{5}$ д) $3\frac{1}{6} - \frac{1}{4}$ ђ) $6\frac{1}{2} - 5\frac{2}{3}$ е) $\frac{5}{6} - \frac{1}{3} - \frac{1}{4}$
ж) $5 - \frac{1}{3} - 3\frac{5}{6}$
з) $5\frac{4}{5}2\frac{5}{6} - 1\frac{9}{{10}}$
Пр.1) а) $\frac{4}{5} - \frac{2}{5} = \frac{{4 - 2}}{5} = \frac{2}{5}$
б) $\frac{7}{9} - \frac{1}{9} = \frac{{7 - 1}}{9} = \frac{6}{9} = \frac{2}{3}$
в) $3\frac{2}{3} - 2\frac{1}{3} = 1\frac{{2 - 1}}{3} = 1\frac{1}{3}$
г) $2\frac{3}{8} - 1\frac{3}{8} = 1$
д) $3\frac{1}{9} - 1\frac{5}{9} = 2\frac{{10}}{9} - 1\frac{5}{9} = 1\frac{5}{9}$ ђ) $3 - 1\frac{3}{7} = 2\frac{7}{7} - 1\frac{3}{7} = 1\frac{4}{7}$ Пр.2) а) $\frac{1}{2} - \frac{1}{3} = \frac{3}{6} - \frac{2}{6} = \frac{1}{6}$ б) $\frac{3}{5} - \frac{3}{7} = \frac{{21}}{{35}} - \frac{{15}}{{35}} = \frac{6}{{35}}$ в) $\frac{5}{6} - \frac{3}{4} = \frac{{10}}{{12}} - \frac{9}{{12}} = \frac{1}{{12}}$ г) $5\frac{7}{{10}} - 1\frac{2}{5} = 5\frac{7}{{10}} - 1\frac{4}{{10}} = 4\frac{3}{{10}}$ д) $3\frac{1}{6} - \frac{1}{4} = 3\frac{2}{{12}} - \frac{3}{{12}} = 2\frac{{14}}{{12}} - \frac{3}{{12}} = 2\frac{{11}}{{12}}$ ђ) $6\frac{1}{2} - 5\frac{2}{3} = 6\frac{3}{6} - 5\frac{4}{6} = 5\frac{9}{6} - 5\frac{4}{6} = \frac{5}{6}$ е) $\frac{5}{6} - \frac{1}{3} - \frac{1}{4} = \frac{{10}}{{12}} - \frac{4}{{12}} - \frac{3}{{12}} = \frac{3}{{12}} = \frac{1}{4}$
ж) $5 - \frac{1}{3} - 3\frac{5}{6} = 4\frac{6}{6} - \frac{2}{6} - 3\frac{5}{6} = 4\frac{4}{6} - 3\frac{5}{6} = 3\frac{{10}}{6} - 3\frac{5}{6} = \frac{5}{6}$
з) $5\frac{4}{5} - 2\frac{5}{6} - 1\frac{9}{{10}} = 5\frac{{24}}{{30}} - 2\frac{{25}}{{30}} - 1\frac{{27}}{{30}} = 4\frac{{54}}{{30}} - 2\frac{{25}}{{30}} - 1\frac{{27}}{{30}} = 1\frac{2}{{30}} = 1\frac{1}{{15}}$