`7(4)/(5)-2(3)/(5)`

If A=[(2)/(3)1(5)/(3)(1)/(3)(2)/(3)(4)/(3)(7)/(3)2(2)/(3)] and B=[(2)/(3)(2)/(5)1(1)/(5)(2)/(5)(4)/(5)(4)/(5)(7)/(3)(6)/(5)(2)/(5)], then compute 3A_(-)=5B

Proved that (2)/(3)times[(-6)/(7)times(4)/(5)]=[(2)/(3)times(4)/(5)]times((-6)/(7))

A=[[(2)/(3),1,(5)/(3)(1)/(3),(2)/(3),(4)/(3)(7)/(3),2,(2)/(3)]] and B=[[(2)/(5),(3)/(5),1(1)/(5),(2)/(5),(4)/(5)(7)/(5),(6)/(5),(2)/(5)]]

Simplify ((5^(-1)*7^(2))/(5^(2)*7^(-4)))^((7)/(2))*((5^(-2)*7^(3))/(5^(3)*7^(-5)))^(-(5)/(2))

Express each of the rational number of the form (p)/(q):(-7)/(4)+(5)/(3)+(-1)/(2)+(-5)/(6)+2

" (iii) ((-2)/(5)+(4)/(7))+((-2)/(5)) ( iv )(3)/(4)+(7)/(6)+((-5)/(4))+(1)/(2)

(-3)/(4)+((2)/(5)+(-4)/(7))=((-3)/(4)+(2)/(5))+((-4)/(7))

Simplify: (-3)/(2)+(5)/(4)+(7)/(4)( ii) (5)/(3)-(7)/(6)+(-2)/(3)

Verify the following: (i) ((3)/(4)+(-2)/(5))+(-7)/(10)=(3)/(4)+((-2)/(5)+(-7)/(10)) (ii) ((-7)/(11)+(2)/(-5))+(-13)/(22)=(-7)/(11)+((2)/(-5)+(-13)/(22)) (iii) -1+((-2)/(3)+(-3)/(4))=(-1+(-2)/(3))+(-3)/(4)

Simplify: 5/4-7/6-(-2)/3 (ii) (-2)/5-(-3)/(10)-(-4)/7