Without performing long division

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Without performing long division, analyse the fraction 1981440\dfrac{198}{1440} as follows: (i) Reduce the fraction to its simplest form. (ii) Decide whether the decimal representation of the simplified fraction terminates or is non-terminating recurring, giving suitable justification. (iii) If the decimal terminates, find the number of places after the decimal point and write the terminating decimal.

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