निम्नलिखित प्रतिरूपों में से प्रत्येक में चार और परिमेय संख्याएँ लिखिए :
(i) `(-3)/(5), (-6)/(10), (-9)/(15), (-12)/(20),"…….."` , (ii) `(-1)/(4), (-2)/(8), (-3)/(12),"………"`
(iii) `(-1)/(6), (2)/(-12), (3)/(15), (4)/(-24), "…….."`

Write four more rational numbers in each of the following patterns : (i) (-3)/5 , (-6)/10 , (-9)/15 , (-12)/20,..... (ii) (-1)/4 , (-2)/8, (-3)/12,...... (iii) (-1)/6, 2/(-12), 3/(-18), 4/(-24),....... (iv) (-2)/3 , 2/(-3) , 4/(-6), 6/9,.......

Write four more rational numbers in each of the following patterns : (i) (-3)/5 , (-6)/10 , (-9)/15 , (-12)/20,..... (ii) (-1)/4 , (-2)/8, (-3)/12,...... (iii) (-1)/6, 2/(-12), 3/(-18), 4/(-24),....... (iv) (-2)/3 , 2/(-3) , 4/(-6), 6/-9,.......

Evaluate : (i) (3)/(4)+(5)/(6)+(-1)/(4)+(-7)/(6) (ii) (9)/(-10)+(4)/(15)+(-3)/(20)+(-3)/(10)+(8)/(15)+(9)/(-20)

Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(12!3!) (iv) (1)/(4!)+(1)/(5!) +(1)/(6!)

Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(12!3!) (iv) (1)/(4!)+(1)/(5!) +(1)/(6!)

Simplify: 2/3+1/6-2/9 (ii) 12-3 1/2 (iii) 7 5/6-4 3/8+2 7/(12)

Simplify: 2/3+1/6-2/9 (ii) 12-3 1/2 (iii) 7 5/6-4 3/8+2 7/(12)

Simplify. (i) ((15^(1//3))/(9^(1//4)))^(-6) (ii) ((12^(1//5))/(27^(1//5)))^(5//2) (iii) ((15^(1//4))/(3^(1//2)))^(-2)