Question

Which fraction is larger 1/3, 2/5, 8/15, 13/30. and how do i solve this

Answer 1

$\frac{1}{3};\ \frac{2}{5};\ \frac{8}{15};\ \frac{13}{30}\\\\Denominators:3;\ 5;\ 15;\ 30\\\\LCD(3;\ 5;\ 15;\ 30)=30\\\\\frac{1}{3}=\frac{1\cdot10}{3\cdot10}=\frac{10}{30}\\\\\frac{2}{5}=\frac{2\cdot6}{5\cdot6}=\frac{12}{30}\\\\\frac{8}{15}=\frac{8\cdot2}{15\cdot2}=\frac{16}{30}\\\\\frac{13}{30}\\\\\frac{10}{30} < \frac{12}{30} < \frac{13}{30} < \frac{16}{30}\Rightarrow\frac{1}{3} < \frac{2}{5} < \frac{13}{30} < \frac{8}{15}$