Question

write each of the following in decimal form and say what kind of decimal expansion each has 11 by 24​

Answer 1

$\binom{11}{24} \\ \\ take \: out \: the \: factors \: of \: the \: \\ denominator \\ \\ whih \: are \: 2 \times 2 \times 2 \times 3 \\ if \: the \: factors \: of \: the \: \\ denominator \: are \: in \: the \: form \: \\ of \: {2}^{n} \times {5}^{n \:} then \: the \: decimal \: \\ expansion \: will \: be \: terminating \: \\ in \: this \: question \: as \: \\ denominator \: is \: not \: the \: form \: \\ of \: {2}^{n}\times {5}^{n} \: so \: it \: is \: \\ non \: terminating$