Evaluate 0.8÷((1.5+2/3)^2)

$0.8 \div {(1.5 + \frac{2}{3})}^{2}$

Rewrite the division as a fraction.

$\frac{0.8}{{(1.5 + \frac{2}{3})}^{2}}$

Simplify the denominator.

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To write $1.5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{0.8}{{(1.5 \cdot \frac{3}{3} + \frac{2}{3})}^{2}}$

Combine $1.5$ and $\frac{3}{3}$ .

$\frac{0.8}{{(\frac{1.5 \cdot 3}{3} + \frac{2}{3})}^{2}}$

Combine the numerators over the common denominator.

$\frac{0.8}{{(\frac{1.5 \cdot 3 + 2}{3})}^{2}}$

Rewrite $\frac{1.5 \cdot 3 + 2}{3}$ in a factored form.

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Multiply $1.5$ by $3$ .

$\frac{0.8}{{(\frac{4.5 + 2}{3})}^{2}}$

Add $4.5$ and $2$ .

$\frac{0.8}{{(\frac{6.5}{3})}^{2}}$

Divide $6.5$ by $3$ .

$\frac{0.8}{{2.1\overline{6}}^{2}}$

Raise $2.1\overline{6}$ to the power of $2$ .

$\frac{0.8}{4.69\overline{4}}$

Divide $0.8$ by $4.69\overline{4}$ .

$0.1704142$

Evaluate 0.8÷((1.5+2/3)^2)