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

Question

Simplify the following expression:

$3m\cdot12n/(7m\cdot4n)=\text{?}$

00:00 Solve

00:03 Write division as a fraction

00:10 Reduce what we can

00:17 Break down 12 into factors 3 and 4

00:29 Reduce what we can

00:37 Break down 9 into 7 plus 2

00:41 Break down the fraction into whole number and remainder

00:48 And this is the solution to the question

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:

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

$1\frac{2}{7}$