Express 0.5454545454545454 (bar on 54) in p/q form
Answers
Answered by
4
Let x = 0.545454...
=> 100x = 0.545454... × 100
=> 100x = 54.545454...
Subtract x from 100x
100x - x = 54.545454... - 0.545454...
=> 99x = 54
=> x = 54/99
=> x = 6/11
Thus, 0.545454... = 6/11
=> 100x = 0.545454... × 100
=> 100x = 54.545454...
Subtract x from 100x
100x - x = 54.545454... - 0.545454...
=> 99x = 54
=> x = 54/99
=> x = 6/11
Thus, 0.545454... = 6/11
Answered by
1
Answer:
Step-by-step explanation:
x=0.545454...... → 1
1 × 100
100x = 54.545454....... → 2
2 - 1
99x = 47
x = 47/99
Anonymous:
sorry... 99x = 54
x = 54/99
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