convert in p/q form:-11.12323232323...............
Answers
Step-by-step explanation:
11.123232323....
let
x= 11.1232323....
Multiply both sides by 100
100x = 100*11.1232323..
100x = 1112.323232...
minus both sides by x
100x - x = 1112.32323... - x
99x = 1112.32323... - 11.1232323...
99x = 1101.2
x = 1101.2/99
x = 11012/990
Answer:
we all know that,
the number which is can be written in the form of p/q is called a rational number.
So, if we will convert 11.1232323232323..... in the form of p/q then obviously the answer will be in the rational form.
Let us see ....
Step-by-step explanation:
11.123232323...
Let x = 11.123232323...
Now, multiply both the side with 100.
100 x = 100 × 11.1232323...
100 x = 1112.3232323...
Now, minus both the side by x.
100 x - x = 1112.3232323...
99 x = 1101.2
x = 1101.2 / 99
x = 11012 / 990.
Therefore the answer is in rational number.
So, 11.2323232323232323... is a rational number. Which can be written in the form of p/q.
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