# Find the smallest

We know that if the denominator is in the form of , then we get terminating decimal digit, and it depends on the value of m or n. If we have m>n, then decimal digit terminates after m or if we have n > m, then digit terminates after n.

And, here we have

Our numerator must be 7, so we cancel out 7 from the denominator to get terminating decimal digits.

And,

as we know 5 > 2, and 52 > 22. So, to place 52 in denominator we get a smaller rational number in comparison to place 22.

Our smallest rational number by whichshould be multiplied, so that its decimal expansion terminates after two places of decimal

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