Question

which is the simplified form of the expression below?
$6w + \frac{2}{3} + 3w$
$\circ\\ \\ 3w + \frac{2}{3}$
$\circ\\ \\ 6w + 3w$
$\circ\\ \\ 6w + \frac{2}{3}$
$\circ\\ \\ 9w + \frac{2}{3}$

Explanation:

Step1: Identify like terms

Like terms are terms with the same variable (or constant terms). Here, \(6w\) and \(3w\) are like terms, and \(\frac{2}{3}\) is a constant term.

Step2: Combine like terms

Combine \(6w\) and \(3w\) by adding their coefficients: \(6w + 3w=(6 + 3)w = 9w\). The constant term \(\frac{2}{3}\) remains as it is. So the simplified expression is \(9w+\frac{2}{3}\).

Answer:

\(9w + \frac{2}{3}\) (the last option: \(9w+\frac{2}{3}\))