Basic Math Examples

$\frac{\frac{0.06}{0.3} + \frac{0.05}{2}}{\frac{{0.3}^{- 1} \cdot 2}{\frac{0.25}{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(\frac{0.06}{0.3} + \frac{0.05}{2}) \frac{\frac{0.25}{3}}{{0.3}^{- 1} \cdot 2}$

Step 2

Divide $0.25$ by $3$ .

$(\frac{0.06}{0.3} + \frac{0.05}{2}) \frac{0.08\overline{3}}{{0.3}^{- 1} \cdot 2}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$(\frac{0.06}{0.3} + \frac{0.05}{2}) \frac{0.08\overline{3}}{\frac{1}{0.3} \cdot 2}$

Step 3.2

Divide $1$ by $0.3$ .

$(\frac{0.06}{0.3} + \frac{0.05}{2}) \frac{0.08\overline{3}}{3.\overline{3} \cdot 2}$

Step 4

Simplify terms.

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Step 4.1

Multiply $3.\overline{3}$ by $2$ .

$(\frac{0.06}{0.3} + \frac{0.05}{2}) \frac{0.08\overline{3}}{6.\overline{6}}$

Step 4.2

Simplify each term.

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Step 4.2.1

Divide $0.06$ by $0.3$ .

$(0.2 + \frac{0.05}{2}) \frac{0.08\overline{3}}{6.\overline{6}}$

Step 4.2.2

Divide $0.05$ by $2$ .

$(0.2 + 0.025) \frac{0.08\overline{3}}{6.\overline{6}}$

Step 4.3

Simplify the expression.

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Step 4.3.1

Add $0.2$ and $0.025$ .

$0.225 (\frac{0.08\overline{3}}{6.\overline{6}})$

Step 4.3.2

Divide $0.08\overline{3}$ by $6.\overline{6}$ .

$0.225 \cdot 0.0125$

Step 4.3.3

Multiply $0.225$ by $0.0125$ .

$0.0028125$