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प्रश्न
Without actual division, show that the following rational numbers is a non-terminating repeating decimal.
`77/210`
संख्यात्मक
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उत्तर
`77/210 = ( 77 ÷7)/(210 ÷7)`
= `11/30`
= `11/((2 xx 3 xx 5))`
We know 2, 3 or 5 is not a factor of 11, so `11/30` is in its simplest form.
Moreover, (2 × 3 × 7) ≠ (2m × 5n)
Hence, the given rational is non-terminating repeating decimal.
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