Which of the following rational number are equal?
(i) `frac(8)(-12)("and")frac(-10)(15)`
(ii) `frac(-3)(9)("and")frac(7)(-21)`
(iii) `frac(-8)(-14)("and")frac(15)(21)`

Which of the following are positive rational numbers? (i) frac(3)(-5) (ii) frac(-11)(15) (iii) frac(-5)(-8) (iv) frac(37)(53) (v) frac(0)(3) (vi) 8

Which of the following are rational numbers? (i) frac(5)(-8) (ii) frac(-6)(11) (iii) frac(7)(15) (iv) frac(-8)(-12) (v) 6 (vi) -3 (vii) 0 (viii) frac(0)(1) (ix) frac(1)(0) (x) frac(0)(0)

Which of the following are pairs of equivalent rational numbers? (i) frac(-13)(7),frac(39)(-21) (ii) frac(3)(-8),frac(-6)(16) (iii) frac(9)(4),frac(-36)(-16) (iv) frac(7)(15),frac(-28)(60) (v) frac(3)(12),frac(-1)(4) (vi) frac(2)(3),frac(3)(2)

Which of the following are negative rational number? (i) frac(-15)(-4) (ii) 0 (iii) frac(-5)(7) (iv) frac(4)(-9) (v) -6 (vi) frac(1)(-2)

Write each of the following rational number in standard form: (i) frac(35)(49) (ii) frac(8)(-36) (iii) frac(-27)(45) (iv) frac(-14)(-49) (v) frac(91)(-78) (vi) frac(-68)(119) (vii) frac(-87)(116) (viii) frac(299)(-161)

Write each of the following as a rational number with positive denominator. (i) frac(12)(-17) (ii) frac(1)(-2) (iii) frac(-8)(-19) (iv) frac(11)(-6)

Simplify each of the following as a rational number: ( i ) (frac(4)(9))^(6) xx (frac(4)(9))^(-4) ( ii ) (frac(-7)(8))^(-3) xx (frac(-7)(8))^(2) ( iii ) (frac(4)(3))^(-3) xx (frac(4)(3))^(-2)

Simplify and express each of the following as a rational number: ( i ) (frac(3)(2))^(-3) xx (frac(3)(2))^(-2) ( ii ) (frac(3)(4))^(-2) xx (frac(5)(2))^(-3) ( iii ) (frac(-2)(3))^(-4) xx (frac(-3)(5))^(2)