Evaluate -5^2-3/8

$- 5^{2} - \frac{3}{8}$

Step 1

Simplify each term.

Raise $5$ to the power of $2$ .

$- 1 \cdot 25 - \frac{3}{8}$

Multiply $- 1$ by $25$ .

$- 25 - \frac{3}{8}$

Step 2

To write $- 25$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- 25 \cdot \frac{8}{8} - \frac{3}{8}$

Step 3

Combine $- 25$ and $\frac{8}{8}$ .

$\frac{- 25 \cdot 8}{8} - \frac{3}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 25 \cdot 8 - 3}{8}$

Step 5

Simplify the numerator.

Multiply $- 25$ by $8$ .

$\frac{- 200 - 3}{8}$

Subtract $3$ from $- 200$ .

$\frac{- 203}{8}$

Step 6

Move the negative in front of the fraction.

$- \frac{203}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{203}{8}$

Decimal Form:

$- 25.375$

Mixed Number Form:

$- 25 \frac{3}{8}$