a) P = \(\dfrac{2}{3}\)-(-\(\dfrac{1}{4}\))+\(\dfrac{3}{5}\)-\(\dfrac{7}{45}\)-(\(\dfrac{-5}{9}\))+\(\dfrac{1}{12}\)+\(\dfrac{1}{35}\)

    P = \(\dfrac{2}{3}\)+\(\dfrac{1}{4}\)+\(\dfrac{3}{5}\)-\(\dfrac{7}{45}\)+\(\dfrac{5}{9}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{35}\)

    P = (\(\dfrac{2}{3}\)+\(\dfrac{1}{4}\)+\(\dfrac{1}{12}\))+(\(\dfrac{3}{5}\)+\(\dfrac{5}{9}\)-\(\dfrac{7}{45}\))+\(\dfrac{1}{35}\)

    P = (\(\dfrac{8}{12}\)+\(\dfrac{3}{12}\)+\(\dfrac{1}{12}\))+(\(\dfrac{27}{45}\)+\(\dfrac{25}{45}\)-\(\dfrac{7}{45}\))+\(\dfrac{1}{35}\)

    P =  1+1+\(\dfrac{1}{35}\)

    P =  2+\(\dfrac{1}{35}\)

    P = \(\dfrac{71}{35}\)

a) A = (\(\dfrac{1}{3}\)-\(\dfrac{8}{15}\)-\(\dfrac{1}{7}\))+(\(\dfrac{2}{3}\)+\(\dfrac{-7}{15}\)+1\(\dfrac{1}{7}\))

    A = \(\dfrac{1}{3}\)-\(\dfrac{8}{15}\)-\(\dfrac{1}{7}\)+\(\dfrac{2}{3}\)+\(\dfrac{-7}{15}\)+\(\dfrac{8}{7}\)

    A = (\(\dfrac{1}{3}\)+\(\dfrac{2}{3}\))+(\(\dfrac{-8}{15}\)+\(\dfrac{-7}{15}\))+(\(\dfrac{-1}{7}\)+\(\dfrac{8}{7}\))

    A = 1+(-1)+1

    A = 1