Evaluate Using the Given Value 10m+(n^2)/4 when m=5 and n=4

$10 m + \frac{n^{2}}{4}$ when $m = 5$ and $n = 4$

Replace the variable $m$ with $5$ in the expression.

$10 (5) + \frac{n^{2}}{4}$

Replace the variable $n$ with $4$ in the expression.

$10 (5) + \frac{{(4)}^{2}}{4}$

Simplify each term.

Multiply $10$ by $5$ .

$50 + \frac{{(4)}^{2}}{4}$

Cancel the common factor of ${(4)}^{2}$ and $4$ .

Factor $4$ out of ${(4)}^{2}$ .

$50 + \frac{4 \cdot 4}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$50 + \frac{4 \cdot 4}{4 (1)}$

Cancel the common factor.

$50 + \frac{4 \cdot 4}{4 \cdot 1}$

Rewrite the expression.

$50 + \frac{4}{1}$

Divide $4$ by $1$ .

$50 + 4$

Add $50$ and $4$ .

$54$