Evaluate 6^2-5+4÷5*1

$6^{2} - 5 + 4 \div 5 \cdot 1$

Simplify each term.

Raise $6$ to the power of $2$ .

$36 - 5 + 4 \div 5 \cdot 1$

Rewrite the division as a fraction.

$36 - 5 + \frac{4}{5} \cdot 1$

Multiply $\frac{4}{5}$ by $1$ .

$36 - 5 + \frac{4}{5}$

Find the common denominator.

Write $36$ as a fraction with denominator $1$ .

$\frac{36}{1} - 5 + \frac{4}{5}$

Multiply $\frac{36}{1}$ by $\frac{5}{5}$ .

$\frac{36}{1} \cdot \frac{5}{5} - 5 + \frac{4}{5}$

Multiply $\frac{36}{1}$ by $\frac{5}{5}$ .

$\frac{36 \cdot 5}{5} - 5 + \frac{4}{5}$

Write $- 5$ as a fraction with denominator $1$ .

$\frac{36 \cdot 5}{5} + \frac{- 5}{1} + \frac{4}{5}$

Multiply $\frac{- 5}{1}$ by $\frac{5}{5}$ .

$\frac{36 \cdot 5}{5} + \frac{- 5}{1} \cdot \frac{5}{5} + \frac{4}{5}$

Multiply $\frac{- 5}{1}$ by $\frac{5}{5}$ .

$\frac{36 \cdot 5}{5} + \frac{- 5 \cdot 5}{5} + \frac{4}{5}$

Combine the numerators over the common denominator.

$\frac{36 \cdot 5 - 5 \cdot 5 + 4}{5}$

Simplify each term.

Multiply $36$ by $5$ .

$\frac{180 - 5 \cdot 5 + 4}{5}$

Multiply $- 5$ by $5$ .

$\frac{180 - 25 + 4}{5}$

Simplify by adding and subtracting.

Subtract $25$ from $180$ .

$\frac{155 + 4}{5}$

Add $155$ and $4$ .

$\frac{159}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{159}{5}$

Decimal Form:

$31.8$

Mixed Number Form:

$31 \frac{4}{5}$