Basic Math Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Simplify the denominator.

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

Combine the numerators over the common denominator.

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

Step 2.4

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

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Step 2.4.1

Multiply $1.5$ by $3$ .

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

Step 2.4.2

Add $4.5$ and $2$ .

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

Step 2.4.3

Divide $6.5$ by $3$ .

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

Step 2.5

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

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

Step 3

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

$0.1704142$