How do you solve #\frac{2}{3}+\frac{1}{3}+\frac{1}{2}[(\frac{1}{2}-\frac{1}{3}+\frac{1}{5})^{2}+(\frac{2}{13}+\frac{2}{8}+\frac{1}{3})\] ^2#?

1 Answer
Feb 2, 2017

#1.14#

Explanation:

#2/3+1/3+1/2[(1/2-1/3+1/5)^2+(2/13+2/8+1/3)]^2#

#:.1.5[(.5-.333333333+.2)^2+(0.153846153+.25+0.333333333)]^2#
#:.1.5(.366666667)^2+0.737179486]^2#

#:.1.5[0.134444444+0.737179486]^2#

#:.1.5[0.87162393]^2#

#:.1.5[0.759728275]#

#:.1.139592414#

#:.=1.14#