express the recurring decimal 7.529529529529... in p/q form?
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2
Answer: 7522/999
Step-by-step explanation:
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=>7.529(bar on 529)
=>Let x=7.529(bar on 529)
=>Then,x=7.529529529...... --------(1)
=>1000x=7529.529529529....... -----(2)
On subtracting (1) from (2),we get------
=>999x=7522
=>x=7522/999
Thus,the p/q form of 7.529529.... is 7522/999
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