Solve the Algebraic Fraction: (12a+3b)/(a·b) Simplification

Let's first rewrite the exercise as a fraction:

$\frac{12a+3b}{a\times b}=$

Since the numerator of the fraction contains an addition operation and the denominator of the fraction contains a multiplication operation, we'll break down the exercise into an addition of fractions:

$\frac{12a}{a\times b}+\frac{3b}{a\times b}=$

Finally, we can cancel out the $a$s in the numerator and denominator of the first fraction and the $b$s in the numerator and denominator of the second fraction, giving us:

$\frac{12}{b}+\frac{3}{a}$