express 2.3(52)bar the following in the form p/q where p and q are integes and q equal not zero
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Answer:
x = 2329 / 990
Step-by-step explanation:
Let x be the rational number
x = 2.352525252.....
Multiply both sides by 10
10x = 23.525252..... ......(1)
Multiply both sides by 100
1000x = 2352.5252...... ........(2)
Subtract 1 from 2
1000x - 10x = 2352.5252... - 23.525252...
990x = 2329
x = 2329 / 990
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