Evaluate 80÷((4^2)÷(2/5))+3.75

$80 \div (4^{2} \div \frac{2}{5}) + 3.75$

Step 1

Simplify each term.

To divide by a fraction, multiply by its reciprocal.

$80 \frac{\frac{2}{5}}{4^{2}} + 3.75$

Multiply the numerator by the reciprocal of the denominator.

$80 (\frac{2}{5} \cdot \frac{1}{4^{2}}) + 3.75$

Combine.

$80 \frac{2 \cdot 1}{5 \cdot 4^{2}} + 3.75$

Cancel the common factor of $5$ .

Factor $5$ out of $80$ .

$5 (16) \frac{2 \cdot 1}{5 \cdot 4^{2}} + 3.75$

Factor $5$ out of $5 \cdot 4^{2}$ .

$5 (16) \frac{2 \cdot 1}{5 (4^{2})} + 3.75$

Cancel the common factor.

$5 \cdot 16 \frac{2 \cdot 1}{5 \cdot 4^{2}} + 3.75$

Rewrite the expression.

$16 \frac{2 \cdot 1}{4^{2}} + 3.75$

Multiply $2$ by $1$ .

$16 \frac{2}{4^{2}} + 3.75$

Combine $16$ and $\frac{2}{4^{2}}$ .

$\frac{16 \cdot 2}{4^{2}} + 3.75$

Multiply $16$ by $2$ .

$\frac{32}{4^{2}} + 3.75$

Raise $4$ to the power of $2$ .

$\frac{32}{16} + 3.75$

Divide $32$ by $16$ .

$2 + 3.75$

Step 2

Add $2$ and $3.75$ .

$5.75$