Question
$\frac{15}{12}, \frac{7}{16}$

Answer

$\frac{15}{12}, \frac{7}{16}$
Here, the denominators of the given numbers are not the same.
LCM of 12 and $16=48$
$
\begin{array}
\frac{15}{12}=\frac{15 \times 4}{12 \times 4}=\frac{60}{48}, \\
\frac{7}{16}=\frac{7 \times 3}{16 \times 3}=\frac{21}{48} \\
\text { Since, } 60>21 \\
\therefore \quad \frac{60}{48}>\frac{21}{48} \\
\therefore \quad \frac{15}{12}>\frac{7}{16}
\end{array}
$
Alternate method:
$
\begin{array}
15 \times 16=240 \\
12 \times 7=84 \\
\text { Since, } 240>84 \\
\therefore 15 \times 16>12 \times 7 \\
\therefore \quad \frac{\mathbf{1 5}}{\mathbf{1 2}}>\frac{7}{\mathbf{1 6}} \quad \ldots\left[\text { If } a \times d>b \times c \text {, then } \frac{\mathrm{a}}{\mathrm{b}}>\frac{\mathrm{c}}{\mathrm{d}}\right]
\end{array}
$

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