Question

Answer 1

a: \(=\dfrac{75}{32}\cdot\dfrac{18}{25}\cdot\dfrac{8}{27}\)

=75/25*8/32*18/27

=2/3*1/4*3

=2*1/4=1/2

b: \(=\dfrac{46}{35}\cdot\dfrac{27}{23}\cdot\dfrac{14}{15}=\dfrac{46}{23}\cdot\dfrac{27}{15}\cdot\dfrac{14}{35}\)

=2*9/5*2/5

=4/5*9/5=36/25

c: \(=\dfrac{65}{180}+\dfrac{68}{180}-\dfrac{207}{180}=\dfrac{-74}{180}=\dfrac{-37}{90}\)

d: \(=\dfrac{-63}{156}+\dfrac{60}{156}\)

=-3/156=-1/52

e: =315/2(5/210+7/210-9/210)

=315/2*3/210=315/2*1/70=315/140=9/4