Which of the following expression is equivalent to `(5k+50)/(5)`?

Options

A. `k+10`
B. `k+50`
C. `7k+10`
D. 11k

Answer

To solve the expression \((5k + 50) / 5\), we can follow these steps:

**Step 1: Factor out the common term in the numerator.**
The expression in the numerator is \(5k + 50\). We can see that both terms in the numerator have a common factor of 5. So, we can factor out 5:

\[ 5k + 50 = 5(k + 10) \]

**Step 2: Rewrite the expression with the factored numerator.**
Now, we can rewrite the original expression using the factored form:

\[ \frac{5(k + 10)}{5} \]

**Step 3: Simplify the expression.**
Next, we can simplify the expression by canceling the common factor of 5 in the numerator and the denominator:

\[ \frac{5(k + 10)}{5} = k + 10 \]

Thus, the expression \((5k + 50) / 5\) simplifies to \(k + 10\).

**Final Answer:**
The expression equivalent to \((5k + 50) / 5\) is \(k + 10\).

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