Question

Decimal expansion of a rational number
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Answer 1

Given : Rational number

To find : Decimal expansion  terminating or not

Solution:

Decimal expansion of a rational number

is terminating decimal if Denominator has only prime factor of 2 &  5

after Simplifying rational number / fraction

Ration number  p/q

Where HCF ( p , q) = 1

then it would be terminating decimal  if q  has only prime factor of 2  & 5

3/2  = 1.5

2/5 = 0.4

7/( 2 * 5)  = 0/.7

1/3  = 0.3333333.... ( not terminating)

1/6 = 1/(2 * 3)  = not terminating

1/7 =  not terminating

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