Answer
Mass fraction= 0.144
Weight percent= 14.4%
Work Step by Step
Mass fraction of methanol=
$\frac{mass\,of\, methanol}{mass\,of\, methanol+mass\,of\, ethanol}= \frac{15.0\,g}{15.0\,g+89.0\,g}$
$=0.144$
Weight percent= mass fraction$\times100\%$
$=0.144\times100\%=14.4\%$