` (5)5/6-3 8/9-?=1`

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

Q.the sum of the infinite series 1+(2)/(3)*(1)/(2)+(2)/(3)*(5)/(6)*(1)/(2^(2))+(5)/(3)*(5)/(6)*(8)/(9)*(1)/(2^(3))+... is

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

(5)/(6) -: (6)/(7) xx ? - (8)/(9) -: 1 (2)/(5) -: (3)/(4) xx 3 (1)/(3) = 2(7)/(9)

The expression (5(5)/(8))/(6(3)/(7)) of (6(7)/(11))/(9(1)/(8))-:(8)/(9)(2(3)/(11)+(13)/(22)) of (3)/(5) equals (a) 1 (b) (1)/(2)( c) (7)/(9)( d) (5)/(12)

(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

(iv) (6-3(1)/(8))/(5+(3)/(4+(5)/(9)))

How many 9's are followed by and preceded by numbers divisible by 2? 8 9 6 5 3 5 9 6 8 3 4 9 6 5 2 6 9 7 37 2 9 4 1 3 7 9 4 1 7 3 4 9 8 4 5 3 97 6 1 5 31 95 7 4 2 9 6 8 5 3 2 9 5 7 4 8 9 4 5 1