Question 3 Express the Following in the Form P/q , Where P and Exercise 1.3 Chapter 1 Number System Maths Class 9

Question 3 Express the following in the form p/q , where p and q are integers and q ?0. Chapter 1: Number System Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 3 Express the following in the form p/q , where p and q are integers and q ≠0. is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 1 absolutely free. NCERT Solutions for class 9 Maths Chapter 1: Number System is very essencial for getting good marks in CBSE Board examinations

Question 3 Express the following in the form p/q , where p and q are integers and q ≠0.

Solution: (i)
Let x = 0.666…
Multiply by 10 we get
10x = 6.666…
x = 0.666…
subtract them we get

9x = 6 + x
9x = 6
Divide by 9
x=6/9
simplify it by divide 3 we get
x = 2/3 Answer

(ii)
Let x = 0.4777…
Multiply by 10 we get
10x = 4.7777…
x = 0.4777…
subtract x we get
9x = 4.3
Divide by 9

X = 4.3/9
To remove decimal add zero in denominator we get
x = 43/90

(iii)
Let x = 0.001001…
There are 3 repeating digits so multiply by 10*10*10 = 1000
1000x = 1.001001…
X = 0.001001…
subtract x there we get
999 x = 1
Divide by 999 we get
X = 1/999