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

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

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)

Evaluate each of the following: (2)/(3)-(3)/(5) (ii) (4)/(7)-(2)/(-3)( iii) (4)/(7)-(-5)/(-7)

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

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

Verify that: (2)/(3)xx(-(4)/(5)+(-(3)/(7)))=(2)/(3)xx(-(4)/(5))+(2)/(3)xx(-(3)/(7))

If the 4 points made by intersection of lines 2x-y+1=0,x-2y+3=0 with the coordinate axes are concyclic then centre of circle is (A) ((7)/(4),(5)/(4))(B)((7)/(4),(-5)/(4))(C)((-7)/(4),(5)/(4))(D)((-7)/(4),(-5)/(4))

Evaluate : (i) (3)/(4)-(4)/(5) (ii) -3-(4)/(7) (iii) (7)/(24)-(19)/(36) (iv) (14)/(15)-(13)/(20) (v) (4)/(9)-(2)/(-3) (vi) (7)/(11)- (-4)/(-11) (vii) (-5)/(14) -(-2)/(7) (viii) (-5)/(-8)-(-3)/(4)

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

Find the sum of each of the following infinite geometric series, if it exists : (4)/(7) - (5)/(7^(2)) + (4)/(7^(3)) - (5)/(7^(4)) + (4)/(7^(5)) - (5)/(7^(6)) +…oo