Question

\(\dfrac{1}{3}\) - \(\dfrac{3}{4}\) - \(\left(-\dfrac{3}{5}\right)\) + \(\dfrac{1}{75}\) - \(\dfrac{2}{9}\) -\(\dfrac{1}{36}\) + \(\dfrac{1}{15}\)

Answer 1

\(\dfrac{1}{3}-\dfrac{3}{4}-\left(-\dfrac{3}{5}\right)+\dfrac{1}{75}-\dfrac{2}{9}-\dfrac{1}{36}+\dfrac{1}{15}\)
\(=\dfrac{1}{3}-\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{1}{75}-\dfrac{2}{9}-\dfrac{1}{36}+\dfrac{1}{15}\)
\(=\left(\dfrac{1}{3}+\dfrac{3}{5}+\dfrac{1}{15}\right)-\left(\dfrac{3}{4}+\dfrac{2}{9}+\dfrac{1}{36}\right)+\dfrac{1}{75}\)
\(=\left(\dfrac{5}{15}+\dfrac{9}{15}+\dfrac{1}{15}\right)-\left(\dfrac{27}{36}+\dfrac{8}{36}+\dfrac{1}{36}\right)+\dfrac{1}{75}\)
\(=1-1+\dfrac{1}{75}\)
\(=0+\dfrac{1}{75}\)
\(=\dfrac{1}{75}\)
#AvoidMe

Answer 2

=1/3+3/5+1/15-3/4-2/9-1/36+1/75

=5/15+9/15+1/15-27/36-8/36-1/36+1/75

=1/75