express 1.5434343.........in the form of p/q
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Given the number 2.5434343...
we have to express the above number in the form of p/q, where p and q are integers and q is not equals to 0.
Let x=2.5434343..... → (1)
Multiply equation 1 by 10
10x=25.434343.....10x=25.434343..... → (2)
Multiply equation 1 by 1000
1000x=2543.4343.....1000x=2543.4343..... → (3)
Subtract 2 equation from 3 equation.
990x=2518990x=2518
x=\frac{2518}{990}x=
990
2518
I hope this will help you
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Answer:764/495
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