Question

show that 0.3333............ dot dot
dot dot dot dot equals to 0.3 bar can be expressed in the form of p upon q where p and q are integers and q is not equals to zero

Answer 1

Heya !!






0.3333.......




Let X = 0.3


Then , X = 0.33 --------(1)



Multiply equation (1) by 10 we get,

10X = 3.33 -------(2)



Subtracting equation (1) from equation (2) we get,

10X = 3.33


X = 0.33
--------------


9X = 3



X = 3/9 = 1/3 [ P/Q form ]



Hence,


0.33 ( bar on 3 ) is of the form of 1/3 which is in the form of P/Q .

Answer 2

x=0.33333 is the first equation
10×x=10×0.33333
10x=3.333 is the second equation
subtract first equation from second equation
10x=0.3333
x=3.3333
9x=3.000
x=3/9
x=1/2