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State If the Following Fraction Has a Terminating Decimal. 125 213

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Question

State if the following fraction has a terminating decimal.

`(125)/(213)`

Sum
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Solution

`(125)/(213)`

213 = 3 x 71

i.e. 213 cannot be expressed as 2m x 5n.

Hence, `(125)/(213)` does not have terminating decimal representation.

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Chapter 1: Rational and Irrational Numbers - Exercise 1.1

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Frank Mathematics Part 1 [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1.1 | Q 1.8
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