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State If the Following Fraction Has a Terminating Decimal. 59 75 - Mathematics

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Question

State if the following fraction has a terminating decimal.

`(59)/(75)`

Sum
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Solution

`(59)/(75)`

75 = 5 x 5 x 3 = 22 x 31.

i.e. 75 cannot be expressed as 2m x 5n.

Hence, `(59)/(75)` does not have terminating decimal representation.

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Chapter 1: Irrational Numbers - Exercise 1.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 1 Irrational Numbers
Exercise 1.1 | Q 1.6
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