Question

Simplify the expression. $$ \frac{6 x+12 y}{24} $$

Short answer

The simplified form of the expression \(\frac{6 x+12 y}{24}\) is \(\frac{x+2y}{4}\).

Step-by-step solution

Factor out common factors

Look at the numerator of the fraction. Here, both terms in the numerator, \(6x\) and \(12y\), have a common factor of 6. So we can factor that out to get \(6( x+2 y)\). After factoring out, our expression becomes \(\frac{6(x+2y)}{24}\).

Simplify the expression

Now look at the entire fraction. In this step we notice that both the numerator and the denominator have a common factor, which is 6. Divide both the numerator and the denominator by this common factor. The expression simplifies to \(\frac{x+2y}{4}\).