Question
Download Solution PDFWrite 0.135135.... in the form of p/q.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
0.135135....
Concept used:
The numbers of the form (p/q), where q ≠ 0 and p and q is integer is known as rational number.
Calculation:
Let x = 0.135135.... ----(1)
Multiply equation (1) by 1000, we have
1000x = 135.135.... ----(2)
Subtract equation (1) from equation (2), we have
1000x - x = (135.135...) - (0.135135....)
⇒ 999x = 135
⇒ x = 135/999
⇒ x = 45/333
⇒ x = 5/37
∴ The 0.135135.... can be written as 5/37 in the form of p/q.
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