• # question_answer A real number $\frac{{{2}^{2}}\times {{3}^{2}}\times {{7}^{3}}}{{{2}^{2}}\times {{5}^{3}}\times {{3}^{5}}\times {{7}^{4}}}$will have     _______. A) Terminating decimal expansion         B) Non-terminating decimal expansion     C)  Repeating decimal expansionD)  Both (b) and (c)

Given number, $\frac{{{2}^{2}}\times {{3}^{2}}\times {{7}^{3}}}{{{2}^{2}}\times {{5}^{3}}\times {{3}^{5}}\times {{7}^{4}}}=\frac{1}{{{3}^{3}}\times {{5}^{3}}\times 7}$ If the prime factorization of denominator has power of 2, power of 5 or both, then the number should always be terminating decimals So, it is a non-terminating and repeating decimal expansion.