Question

Convert 1.233333....... in the form of p/q.

Answer 1

Answer:

Step-by-step explanation:

let x = 1.23333.....

here first we will move 2 to the left side of the decimal.so multiply 10 in left side

10x=12.33333..-1

100x=123.33333....[ here we had to take 3 to the left side of the decimal]-2

now subtract 1 from 2

100x=123.333..

  10x= 12,333,,,

90x=111

x=111/90

Answer 2

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let 1.23333........ be x

Then,

x = 1.23333........1)

10x = 12.3333........2)

100x = 123.333........3)

__________________________

Subtract equation 2) from 3)

Then,

100x - 10x = 123 - 12

= = > 90x = 111

= = > x = 111/90

= = > x = 37/30