Question

cat face [tex] \frac{1}{2}* \frac{2}{3} * \frac{3}{4} *
\frac{5}{4}+ \frac{1}{4}=??? [/tex]

Answer 1

$\displaystyle \frac{1}{2} \cdot \frac{2}{3} \cdot \frac{3}{4} \cdot \frac{5}{4} + \frac{1}{4} = \frac{2}{6} \cdot \frac{3}{4} \cdot \frac{5}{4} + \frac{1}{4} = \frac{6}{24} \cdot \frac{5}{4} + \frac{1}{4} = \frac{30}{96} + \frac{1}{4} = \\ \\ = \frac{30}{96} + \frac{24}{96} = \frac{54}{96} = \frac{9}{16}$