Question

Como se resolve essa expressão numérica?

Answer 1

$\left[\frac{12}{169}.\left(\frac{13}{2}\right)^2:\frac{3}{5}+1\right]^2-\frac{11}{4}\\\\\\\left[\frac{12}{169}.\frac{13^2}{2^2}:\frac{3}{5}+1\right]^2-\frac{11}{4}\\\\\\\left[\frac{12}{169}.\frac{169}{4}:\frac{3}{5}+1\right]^2-\frac{11}{4}\\\\\\\left[\frac{12~.~169}{169~.~4}:\frac{3}{5}+1\right]^2-\frac{11}{4}\\\\\\\left[3:\frac{3}{5}+1\right]^2-\frac{11}{4}\\\\\\\left[3.\frac{5}{3}+1\right]^2-\frac{11}{4}\\\\\\\left[5+1\right]^2-\frac{11}{4}\\\\\\\left[6\right]^2-\frac{11}{4}$

$36-\frac{11}{4}\\\\\\\frac{4~.~36~-~1~.~11}{4}\\\\\\\boxed{\frac{133}{4}}$