The rational form of 0.254 is in the form of
then (p+q) is
a) 14
b) 55
c) 69
d) 79
Answers
the rational form of 0.254 is the form of then (p+q)is 69
The rational form of is in the form of p/q is 69
Given : The rational form of is in the form of p/q
To find : To choose the correct option
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 the number 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
Step 3 of 3 :
Find the value of p + q
From above we get p = 14 , q = 55
So we have
p + q = 14 + 55 = 69
Hence the correct option is c) 69
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
The sum of 0.3 bar and 0.2 bar is
https://brainly.in/question/26672653
2. Convert 0.545454... in the form of p/q
https://brainly.in/question/22509543