1.666...is a rational number can be expressed in p by q form then find what is p+q form
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1.6666.... can be expressed as a rational number in the form p/q using the following method -
x = 1.66666.... --- Equation 1
Here, only one digit is repeating. So, we should multiply both the left side and the right side with 10.
So, 10x = 16.6666............ --- Equation 2
Then we should subtract Equation 1 from 2.
ie, 10x - x = 16.6666.......... - 1.6666......
So, 9x = 15.
Thus, x = 15 / 9
= 5 / 3.
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