The value of $$5\frac{5}{29}-\left[\frac{15}{4}\div\left\{\frac{3}{4}\times\left(\frac{3}{2}-\frac{1}{5}-\frac{1}{3}\right)\right\}\right]$$ is:

According to the rule of BODMAS, 

Parts of an equation enclosed in a 'brackets' must be solved first. 

$$5\frac{5}{29}-\left[\frac{15}{4}\div\left\{\frac{3}{4}\times\left(\frac{45-6-10}{30}\right)\right\}\right]$$

$$5\frac{5}{29}-\left[\frac{15}{4}\div\left\{\frac{3}{4}\times\frac{29}{30}\right\}\right]$$

$$5\frac{5}{29}-\left[\frac{15}{4}\div\frac{29}{40}\right]$$

$$5\frac{5}{29}-\frac{150}{29}$$

$$\frac{150}{29}-\frac{150}{29}$$

= 0