Solve the Algebraic Expression: (2a·3b)÷(3a·4b)

Let's write the exercise as a fraction:

$\frac{2a\times3b}{3a\times4b}=$

We'll reduce the a and b in the numerator and denominator of the fraction:

$\frac{2\times3}{3\times4}=$

We'll reduce the 3 in the numerator and denominator of the fraction:

$\frac{2}{4}=$

We'll write the 4 in the denominator as a multiplication exercise:

$\frac{2}{2\times2}=$

We'll reduce the 2 in the numerator and denominator of the fraction:

$\frac{1}{2}$