Question

( 3/17 - 2/345 + 5/12 ) - ( - 2/345 + 3/17 - 1/12 )

Answer 1

\(\left(\frac{3}{17}-\frac{2}{345}+\frac{5}{12}\right)-\left(-\frac{2}{345}+\frac{3}{17}-\frac{1}{12}\right)\)

\(=\frac{3}{17}-\frac{2}{345}+\frac{5}{12}+\frac{2}{345}-\frac{3}{17}+\frac{1}{12}\)

\(=\left(\frac{3}{17}-\frac{3}{17}\right)+\left(\frac{2}{345}-\frac{2}{345}\right)+\frac{5}{12}+\frac{1}{12}\)

\(=\frac{6}{12}=\frac{1}{2}\)

Answer 2

( 3/17 - 2/345 + 5/12 ) - ( - 2/345 + 3/17 - 1/12 )

= 3/17 - 2/345 + 5/12 + 2/345 - 3/17 + 1/12

= ( 3/17 - 3/17 ) + ( 2/345 - 2/345 ) + ( 5/12 + 1/12 )

= 0 + 0 + 1/2

=1/2