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Without Doing Any Actual Division, Find Which of the Following Rational Numbers Have Terminating Decimal Representation : 61/75 - Mathematics

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प्रश्न

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `61/75`

योग

उत्तर

Given number is `61/75`

Since 75 = 3 x 5 x 5 = 31 x 52
i.e. 75 cannot be expressed as 2m x 5n

∴ `61/75` is not convertible into the terminating decimal.

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अध्याय 1: Rational and Irrational Numbers - Exercise 1 (A) [पृष्ठ ४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 1 Rational and Irrational Numbers
Exercise 1 (A) | Q 5.7 | पृष्ठ ४
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