Question
1.666666...... is a rational number and can be expressed in pq form. Then p + q is ______.
Answer: Option D
:
D
Was this answer helpful ?
:
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.
Was this answer helpful ?
More Questions on This Topic :
Question 4.
Simplify (256)−12.
....
Question 5.
Every whole number is an/a ___________.
....
Question 7.
Choose the correct statements.
....
Question 9.
Find the value of (3+√5)(3−√5) .
....
Question 10.
Represent 0.45 as a rational number.
....
Submit Solution