Write the algebraic expressions for the following.
A number k is multiplied by `(1)/(2)` and the product is subtracted from 19

Answer

To write the algebraic expression for the given problem, follow these steps:

### Step 1: Multiply the number \( k \) by \( \frac{1}{2} \)
We start by multiplying \( k \) by \( \frac{1}{2} \):
\[ \text{Product} = k \times \frac{1}{2} = \frac{k}{2} \]

### Step 2: Subtract the product from 19
Next, we need to subtract the product \( \frac{k}{2} \) from 19:
\[ \text{Expression} = 19 - \frac{k}{2} \]

### Step 3: Write the expression with a common denominator
To express this in a single fraction, we can rewrite 19 with a denominator of 2:
\[ 19 = \frac{19 \times 2}{2} = \frac{38}{2} \]
Now, we can rewrite the expression:
\[ 19 - \frac{k}{2} = \frac{38}{2} - \frac{k}{2} \]

### Step 4: Combine the fractions
Now that both terms have the same denominator, we can combine them:
\[ \frac{38 - k}{2} \]

### Final Expression
Thus, the algebraic expression for the given condition is:
\[ \frac{38 - k}{2} \]

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