Express 2.313131 into P by Q form
Answers
Answer:
Step-by-step explanation:
2.313131 = 2.31_
Let x = 2.3131......... Equation 1
Since two two digits are repeating so we multiply equation 1 by 100
=100x = 231.3131...... Equation 2
on subtracting equation 1 from equation 2 we get
100x - x = 231.3131... - 2.31...
99x = 229
x =229/99
X= 229 / 99 ANSWER
Answer:
The form of 2.313131......................=
Step-by-step explanation:
Given decimal number is 2.313131.............
To find,
The form of the given rational number
Solution:
Let x = 2.313131..................(1)
'x' is a recurring decimal. Hence there are two recurring decimal places,
Multiply the equation(1) by 100 on both sides
100x = 100 ×2.313131......................
100x = 231.3131...................(2)
To eliminate the recurring decimal places, subtract equation(1) from equation (2) we get
100x - x = 231.3131..................... - 2.3131................
99x = 229
x =
Then we have, 2.313131......................=
The form of 2.313131......................=
#SPJ2