Find the smallest positive rational number by which 1/7 should be multiplied so that it's decimal expansion terminates after 2 - Maths - Rational Numbers

Question

Find the smallest positive rational number by
which 1/7 should be multiplied so that it's decimal expansion
terminates after 2 places

Anabiya · Answer

suppose by contradiction aa is the smallest positive rational
number, and consider 12a12a

Find the smallest positive rational number by which 1/7 should be multiplied so that it's decimal expansion terminates after 2 places.