Question
1.666666...... is a rational number and can be expressed in pq form. Then p + q is ______.
Answer: Option D
:
D
Let x= 1.6666...... ----- (i)
then, 10x= 16.666666 ----- (ii)
Subtracting (i) from (ii), we get
10x - x = (16.666666...) - (1.666666...)
⇒ 9x = 15
Hence x = 159=15393=53
i.e., p = 5 and q = 3
So, p + q = 8.
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:
D
Let x= 1.6666...... ----- (i)
then, 10x= 16.666666 ----- (ii)
Subtracting (i) from (ii), we get
10x - x = (16.666666...) - (1.666666...)
⇒ 9x = 15
Hence x = 159=15393=53
i.e., p = 5 and q = 3
So, p + q = 8.
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