\(\frac{37}{45}-\left(\frac{7}{45}-\frac{36}{108}-\frac{5}{13}\right)=\frac{37}{45}-\frac{7}{45}+\frac{36}{108}+\frac{5}{13}.\)
\(=\left(\frac{37}{45}-\frac{7}{45}\right)+\left(\frac{36}{108}+\frac{5}{13}\right)\)
\(=\frac{2}{3}+\frac{28}{39}\)
\(=\frac{18}{13}\)
\((\frac{37}{45}-\frac{7}{45})+(\frac{36}{108}-\frac{5}{13})\)
=\(\frac{2}{3}+-\frac{2}{39}\)=\(\frac{8}{13}\)
\(\frac{37}{45}-\left(\frac{7}{45}-\frac{36}{108}-\frac{5}{13}\right)\)
\(=\frac{37}{45}-\frac{7}{45}+\frac{1}{3}+\frac{5}{13}\)
\(=\left(\frac{37}{45}-\frac{7}{45}+\frac{1}{3}\right)+\frac{5}{13}\)
\(=\left(\frac{2}{3}+\frac{1}{3}\right)+\frac{5}{13}\)
\(=1+\frac{5}{13}\)
\(=\frac{18}{13}\)
\(=\frac{8}{13}\)
\(\frac{37}{45}-\left(\frac{7}{45}-\frac{36}{108}-\frac{5}{13}\right)\)
= \(\frac{37}{45}-\frac{7}{45}+\frac{36}{108}+\frac{5}{13}\)
=30/45 + 1/3 + 5/13
=2/3+ 1/3+ 5/13
=1+ 5/13
= 18/13