Basic Math Examples

$\frac{{0.5}^{1.5}}{3} - \frac{2}{3} \cdot {0.5}^{3}$

Step 1

Simplify each term.

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Step 1.1

Raise $0.5$ to the power of $1.5$ .

$\frac{0.35355339}{3} - \frac{2}{3} \cdot {0.5}^{3}$

Step 1.2

Divide $0.35355339$ by $3$ .

$0.11785113 - \frac{2}{3} \cdot {0.5}^{3}$

Step 1.3

Raise $0.5$ to the power of $3$ .

$0.11785113 - \frac{2}{3} \cdot 0.125$

Step 1.4

Cancel the common factor of $0.125$ .

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Step 1.4.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$0.11785113 + \frac{- 2}{3} \cdot 0.125$

Step 1.4.2

Factor $0.125$ out of $3$ .

$0.11785113 + \frac{- 2}{0.125 (24)} \cdot 0.125$

Step 1.4.3

Cancel the common factor.

$0.11785113 + \frac{- 2}{0.125 \cdot 24} \cdot 0.125$

Step 1.4.4

Rewrite the expression.

$0.11785113 + \frac{- 2}{24}$

Step 1.5

Cancel the common factor of $- 2$ and $24$ .

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Step 1.5.1

Factor $2$ out of $- 2$ .

$0.11785113 + \frac{2 (- 1)}{24}$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

Factor $2$ out of $24$ .

$0.11785113 + \frac{2 \cdot - 1}{2 \cdot 12}$

Step 1.5.2.2

Cancel the common factor.

$0.11785113 + \frac{2 \cdot - 1}{2 \cdot 12}$

Step 1.5.2.3

Rewrite the expression.

$0.11785113 + \frac{- 1}{12}$

Step 1.6

Move the negative in front of the fraction.

$0.11785113 - \frac{1}{12}$

Step 2

To write $0.11785113$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$0.11785113 \cdot \frac{12}{12} - \frac{1}{12}$

Step 3

Combine fractions.

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Step 3.1

Combine $0.11785113$ and $\frac{12}{12}$ .

$\frac{0.11785113 \cdot 12}{12} - \frac{1}{12}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{0.11785113 \cdot 12 - 1}{12}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $0.11785113$ by $12$ .

$\frac{1.41421356 - 1}{12}$

Step 4.2

Subtract $1$ from $1.41421356$ .

$\frac{0.41421356}{12}$

Step 5

Divide $0.41421356$ by $12$ .

$0.03451779$