Question

Answer 1

\(\dfrac{3}{5}\times\dfrac{8}{27}\times\dfrac{5}{3}=\left(\dfrac{3}{5}\times\dfrac{5}{3}\right)\times\dfrac{8}{27}=\dfrac{8}{27}\\ \dfrac{7}{19}\times\dfrac{1}{3}+\dfrac{7}{19}\times\dfrac{2}{3}=\dfrac{7}{19}\left(\dfrac{1}{3}+\dfrac{2}{3}\right)=\dfrac{7}{19}\\ \dfrac{1}{12}+\dfrac{3}{16}+\dfrac{5}{12}+\dfrac{5}{16}=\left(\dfrac{1}{12}+\dfrac{5}{12}\right)+\left(\dfrac{3}{16}+\dfrac{5}{16}\right)=\dfrac{6}{12}+\dfrac{8}{16}=\dfrac{1}{2}+\dfrac{1}{2}=1\)

Answer 2

8/27

7/9

 

 

Answer 3

(3/5*5/3)*8/27=1*8/27=8/27

7/19*(1/3+2/3)=7/19*1=7/19

(1/12+5/12)+(3/16+5/16)=1/2+1/2=1