4) 5/14-230-11:

4) $$5\frac{1}{4}x-2\frac{3}{4}=1\frac{1}{12}$$

$$\frac{21}{4}x-\frac{11}{4}=\frac{13}{12}$$

$$\frac{21}{4}x=\frac{13}{12}+\frac{11}{4}$$

$$\frac{21}{4}x=\frac{13}{12}+\frac{33}{12}$$

$$\frac{21}{4}x=\frac{46}{12}$$

$$\frac{21}{4}x=\frac{23}{6}$$

$$x=\frac{23}{6}:\frac{21}{4}$$

$$x=\frac{23}{6} \cdot \frac{4}{21}$$

$$x=\frac{23 \cdot 2 \cdot 2}{3 \cdot 2 \cdot 21}=\frac{46}{63}$$

Ответ: $$\frac{46}{63}$$