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Ответ:

Пошаговое объяснение:

[tex]\displaystyle\\\[\frac{6}{{13}} - \frac{3}{{13}} + \frac{5}{{13}} = \frac{{6 - 3 + 5}}{{13}} = \frac{8}{{13}}\]\\[/tex]

[tex]\displaystyle\\\[\frac{5}{6} - \frac{3}{4} = \frac{{10}}{{12}} - \frac{9}{{12}} = \frac{1}{{12}}\][/tex]

[tex]\displaystyle\\\[5\frac{4}{{27}} + 2\frac{5}{9} - 1\frac{2}{3} = (5 + 2 - 1) + \frac{4}{{27}} + \frac{{15}}{{27}} - \frac{{18}}{{27}} = 6 + \frac{1}{{27}} = 6\frac{1}{{27}}\][/tex]

[tex]\displaystyle\\\[23 \cdot \frac{5}{{46}} = \frac{{23 \cdot 5}}{{46}} = \frac{{115}}{{46}} = 2\frac{{23}}{{46}} = 2\frac{1}{2}\][/tex]

[tex]\displaystyle\\\[\frac{{25}}{{36}}:\frac{{45}}{{32}} = \frac{{25}}{{36}} \cdot \frac{{32}}{{45}} = \frac{5}{9} \cdot \frac{8}{9} = \frac{{40}}{{81}}\][/tex]