Question

evaluate.
\frac{3(4 + 2)}{1 + 4^2 - 14}

Explanation:

Step1: Calculate the numerator

First, we calculate the expression inside the parentheses in the numerator: \(4 + 2 = 6\). Then we multiply by 3: \(3\times6 = 18\). So the numerator is 18.

Step2: Calculate the denominator

First, we calculate the exponent: \(4^{2}=16\). Then we perform the addition and subtraction from left to right: \(1 + 16 - 14 = 17 - 14 = 3\). So the denominator is 3.

Step3: Divide the numerator by the denominator

Now we divide the numerator (18) by the denominator (3): \(\frac{18}{3}=6\).

Answer:

6