without actual division state whether the following national number 15/1600 will have terminating or non terminating repeating decimal expanison

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Dear Student,

$We space know comma space straight A space rational space number space has space straight a space terminating space decimal space expansion space if space the space prime space factorisation space of space denominator space is space of space the space form space of space 2 to the power of straight n space. space 5 to the power of straight m comma space where space straight n space amd space straight m space are space non space negative space integers. 15 over 1600 space equals space fraction numerator 3 asterisk times 5 over denominator 2 asterisk times 2 asterisk times 2 asterisk times 2 asterisk times 2 asterisk times 2 asterisk times 5 asterisk times 5 end fraction space equals space fraction numerator 3 over denominator 2 asterisk times 2 asterisk times 2 asterisk times 2 asterisk times 2 asterisk times 2 asterisk times 5 end fraction equals space fraction numerator 3 over denominator 2 to the power of 6 cross times 5 to the power of 1 end fraction The space given space number space has space terminating space decimal space expansion space a s space i t space i s space o f space t h e space f o r m space 2 to the power of straight n space. space 5 to the power of straight m comma space where space straight n space amd space straight m space are space non space negative space integers.$

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without actual division state whether the following national number 15/1600 will have terminating or non terminating repeating decimal expanison

Dear Student, Regards