Questions: Simplify the algebraic expression by combining the like (or similar) terms. 1/3 + 4a + 1/4

Solution Steps

To simplify the given algebraic expression, we need to combine the constant terms. The expression consists of a constant term \(\frac{1}{3}\), a variable term \(4a\), and another constant term \(\frac{1}{4}\). We will add the constant terms together and leave the variable term as it is.

The given expression is \[ \frac{1}{3} + 4a + \frac{1}{4} \] which consists of two constant terms \(\frac{1}{3}\) and \(\frac{1}{4}\), and a variable term \(4a\).

To simplify the expression, we need to add the constant terms: \[ \frac{1}{3} + \frac{1}{4} \] Finding a common denominator, which is \(12\), we convert the fractions: \[ \frac{1}{3} = \frac{4}{12}, \quad \frac{1}{4} = \frac{3}{12} \] Now, we can add them: \[ \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \]

After combining the constant terms, we can write the simplified expression as: \[ \frac{7}{12} + 4a \]

Final Answer