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State If the Following Fraction Has a Terminating Decimal. 147 160 - Mathematics

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Question

State if the following fraction has a terminating decimal.

`(147)/(160)`

Sum
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Solution

`(147)/(160)`

160 = 2 x 2 x 2 x 2 x 2 x 5 = 25 x 51

i.e. 160 can be expressed as 2m x 5n.

Hence, `(147)/(160)` has 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 1.9
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