the decimal expansion of 21/24 will termite after how many places of decimal?
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decimal expansion of 21/24=7/8
firstly we factories the denominator
7/2^3 and the we multiply both denominator and numerator with 5^3
7/2^3×5^3/5^3
= 7×125/2^3×5^3
875/10^3
= 875/1000
= 0.875
therefore 21/24 terminates after 3 decimal places
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