1. The rational form of 0.254 bar is in the form of, then (p +9) is (a) 14 (b)55 (c) 69 (d)79 with solution
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The rational form of is in the form of p/q then p + q is 69
Given : The rational form of is in the form of p/q
To find : The value of p + q is
a. 14
b. 55
c. 69
d. 79
Solution :
Step 1 of 3 :
Write down the given number
The given number is
Step 2 of 3 :
Express it in the form p/q
Then
x = 0.2545454 . . . . - - - - - - - (1)
Multiplying both sides by 10 we get
10x = 2.545454 . . . . - - - - - - - (2)
Again Multiplying both sides by 100 we get
1000x = 254.545454 . . . . - - - - - - - (3)
Equation 3 - Equation 2 gives
990x = 252
Which is of the form p/q
Then p = 14 , q = 55
Step 3 of 3 :
Find the value of p + q
We have
p + q = 14 + 55 = 69
Hence the correct option is c. 69
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