`[((5)/(9)-(3)/(-7))-:(-15(1)/(2))]times(-5(1)/(4))`

Verify the following:- (ii) (-15)/(4)times((3)/(7)+(-12)/(5))=((-15)/(4)times(3)/(7))+((-15)/(4)times(-12)/(5)) .

( (5)/(6)-:(6)/(7)times(6)/(7)-(8)/(9)-:1(3)/(5)+(3)/(4)times3(1)/(3)

The value of (5^((1)/(4))-: (3)/(7)"of"(1)/(2)) -: (5(1)/(9)-7(7)/(8)-: 9 (9)/(20)) xx(11)/(21)+ (2-: 2 "of" (1)/(2)) is :

((-4)/(3))times(1)/(2)+((-4)/(3))times((-7)/(5))

Simplify : [ ((- 3 )/( 2) xx (4)/(5) ) + ((9)/(5) xx (-10)/( 3)) - ((1)/(2)xx (3)/(4)) ] div [ ((21)/( 9) xx (3)/(7)) +((7)/(8) xx (16)/(14)) ]

(4(2)/(3)times(9)/(14)+5(1)/(6)times2(2)/(5)) of 417(7)/(8) =

(5)/(6)-:(6)/(7)xx?-(8)/(9)-:1(3)/(5)+(3)/(4)xx3(1)/(3)=2(7)/(9)(7)/(6)(b)(6)/(7)(c)1(d) None of these

Using appropriate properties find : (2)/(5) xx ((-3)/(7)) - (1)/(6) xx (3)/(2) + (1)/(14) xx (2)/(5) = (2)/(5) xx ((-3)/(7)) + (1)/(14) xx (2)/(5) - (1)/(cancel6) xx (cancel 3)/(2) = (2)/(5) xx ((-3)/(7) + (1)/(14) ) - (1)/(4) = (2)/(5) xx ((-6+1)/(14))- (1)/(4) = (cancel 2)/(cancel 5) xx (-cancel 5)/(cancel14) - (1)/(4) = (-1)/(7) - (1)/(4) (- 4 - 7)/(28) = (-11)/(28)