Question

express 0.66......... in the form of p/q a) 2/3b)4/3 c) 5/3 d) 7/3
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Answer 1

Step-by-step explanation:

let 0.66 be x

x=0.66.......(1)

multiplying lhs and rhs by 100 we get

10x=66.66.......(2)

subtracting (1) from (2) we get

10x-x=66.66-0.66

9x=66

x=66/9

x=22/3

Answer 2

we all know that 0.66........ is a non terminating digit because it repeats

let 0.66......... = x this is equation 1

now we all now that if the number digit is one before point then we do the multiple of 10 in the 1 equation.

so, 10x = 6.66....... this is equation 2

now subtract first equation from second equation

10x - x = 6.66...... - 0.66.........

9x = 6

x = 6/9

x = 2/3

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