convert number in p q form 7.3 bar
Answers
Answer:
7.3bar=x
10x=73.33.......
when both sides get similar repetition subtract them
Hope this answer is helpful
Answer:
22/3
Note:
• Rational number : The number which can be written in the form of p/q where p and q are integers but q≠0 is called rational number.
• Rational number are characterized as :
1). Terminating
2). Non-terminating but repeating
(or Non-terminating but recurring)
• Every terminated decimal Or Non-terminating but repeating decimal can be written in the form of p/q .
Solution:
Let us suppose ,
x = 7.333... -------(1)
Now,
Multiplying both sides of eq-(1) with 10 ,
We get ;
=> 10•x = 10•(7.333...)
=> 10x = 73.333... ------(2)
Now,
Subtracting eq-(1) from eq-(2) , we get ;
=> 10x - x = 73.333... – 7.333...
=> 9x = 66
=> x = 66/9
=> x = 22/3
=> 7.333... = 22/3 { Since , x = 7.333... }
Hence
7.333... = 22/3