Please solve this problem
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I'm writing overdash under the number. So, don't get confused.
Let x=0.54 ---------(1)
Multiply 100 on both sides
100x=54.54 ----------(2)
eq(2)-eq(1)
100x-x=54.54-0.54
99x=54
x=54/99
x=6/11
6/11 is in p/q form.
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Answer:
Step-by-step explanation:
Let x = 0.545454...... -----eq(1)
Here Periodicity = 2
So multiply eq(1) by 100 on both the sides
100 * x = 100*0.5454....
100x = 54.5454.... ---eq(2)
Subtract eq(1) from eq(2)
100x = 54.5454..
- x = 0.5454..
---------------------------------
99x = 54
---------------------------------
x = 54/99
x = 6/11
So p/q form of 0.5454... = 6/11
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