The value of $$\frac{{0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}}{{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025}} - \frac{{0.5}}{{1.5}}{\text{is:}}$$

Solution (By Examveda Team)

$$\eqalign{ & \frac{{0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}}{{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025}} - \frac{{0.5}}{{1.5}} \cr & = \frac{{{{\left( {3.35 + 0.175} \right)}^2}}}{{\left( {0.325 - 0.175} \right)\left( {0.325 + 0.175} \right)}} - \frac{1}{3} \cr & = \frac{{0.500}}{{0.150}} - \frac{1}{3} \cr & = \frac{{10}}{3} - \frac{1}{3} \cr & = \frac{9}{3} \cr & = 3 \cr} $$