Question

Express 0.1616.... in the form of p/q, where p and q are integers and q not equal 0​

Answer 1

Answer:

LET 0.161616...... BE X

SO, WE CAN WRITE THAT

X = 0.1616161616161616161616161616.......... - 1ST EQUATION

10X = 1.61616161616161616161616161............- 2ND EQUATION

100X = 16.161616161616161616161616..........- 3RD EQUATION

NOW,

3RD EQUATION - 1ST EQUATION

= 100X - X =  [16.161616161616161616....] - [0.16161616161616161616....]

= 99X = 16

= X = 16/99

Step-by-step explanation:

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