express 0.363636...in the form of the p/q where p and q are integers
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Answer:
36 / 99
Step-by-step explanation:
let the x = 0.363636.... ------- equation 1
here two digits are repeating i.e 36
therefore , multiplying both side by 100
so, x*100 = 0.363636... *100
100x = 36.3636....
100x = 36 + 0.3636...
from equation 1
100x = 36 + x
100x - x= 36
99x = 36
x = 36 / 99
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