Explain the following algebraic expressions.
`(14)/(23)t`

Answer

To explain the algebraic expression \(\frac{14}{23}t\), we can break it down step by step:

### Step 1: Identify the Components
The expression \(\frac{14}{23}t\) consists of two main components:
- A coefficient: \(\frac{14}{23}\)
- A variable: \(t\)

### Step 2: Understand the Coefficient
The coefficient \(\frac{14}{23}\) is a fraction. It represents a constant value that multiplies the variable \(t\). This means that whatever value \(t\) takes, it will be multiplied by \(\frac{14}{23}\).

### Step 3: Understand the Variable
The variable \(t\) can represent any number. In algebra, variables are used to denote unknown values or values that can change.

### Step 4: Combine the Components
When we combine the coefficient and the variable, we get the expression \(\frac{14}{23}t\). This means that the expression represents a quantity that is \(\frac{14}{23}\) times the value of \(t\).

### Step 5: Identify the Number of Terms
In this expression, there is only one term. A term is defined as a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. Since \(\frac{14}{23}t\) is a single expression, it counts as one term.

### Final Explanation
Thus, the algebraic expression \(\frac{14}{23}t\) consists of:
- One term
- A coefficient of \(\frac{14}{23}\)
- A variable \(t\)

This expression can be interpreted as the product of \(\frac{14}{23}\) and \(t\).

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