Simplify the Algebraic Expression: 3m⋅12n/(7m⋅4n)

Let's write the exercise as a fraction:

$\frac{3m\times12n}{7m\times4n}=$

Let's reduce between the m in the numerator and the n in the denominator:

$\frac{3\times12}{7\times4}=$

Let's write the 12 in the numerator of the fraction as a smaller multiplication exercise:

$\frac{3\times4\times3}{7\times4}=$

Let's reduce between the 4 in the numerator and the denominator:

$\frac{3\times3}{7}=\frac{9}{7}=1\frac{2}{7}$