Evaluate (0.6(365/360*0.13)+0.0002(1-0.6)-(0.1+0.08*0.6)*0)/(0.6-(0.6*365/360*0.13)-(0.1+0.08*0.6)(1-0.2))

$\frac{0.6 (\frac{365}{360} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{365}{360} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor of $365$ and $360$ .

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Factor $5$ out of $365$ .

$\frac{0.6 (\frac{5 (73)}{360} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{365}{360} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factors.

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Factor $5$ out of $360$ .

$\frac{0.6 (\frac{5 \cdot 73}{5 \cdot 72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{365}{360} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factor.

$\frac{0.6 (\frac{5 \cdot 73}{5 \cdot 72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{365}{360} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Rewrite the expression.

$\frac{0.6 (\frac{73}{72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{365}{360} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factor of $365$ and $360$ .

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Factor $5$ out of $365$ .

$\frac{0.6 (\frac{73}{72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{5 (73)}{360} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factors.

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Factor $5$ out of $360$ .

$\frac{0.6 (\frac{73}{72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{5 \cdot 73}{5 \cdot 72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factor.

$\frac{0.6 (\frac{73}{72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{5 \cdot 73}{5 \cdot 72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Rewrite the expression.

$\frac{0.6 (\frac{73}{72} \cdot 0.13) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Simplify the numerator.

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Multiply $\frac{73}{72} \cdot 0.13$ .

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Combine $\frac{73}{72}$ and $0.13$ .

$\frac{0.6 \frac{73 \cdot 0.13}{72} + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $73$ by $0.13$ .

$\frac{0.6 (\frac{9.49}{72}) + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factor of $72$ .

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Factor $72$ out of $0.6$ .

$\frac{72 (0.008\overline{3}) \frac{9.49}{72} + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factor.

$\frac{72 \cdot 0.008\overline{3} \frac{9.49}{72} + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Rewrite the expression.

$\frac{0.008\overline{3} \cdot 9.49 + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $0.008\overline{3}$ by $9.49$ .

$\frac{0.07908\overline{3} + 0.0002 (1 - 0.6) - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Subtract $0.6$ from $1$ .

$\frac{0.07908\overline{3} + 0.0002 \cdot 0.4 - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $0.0002$ by $0.4$ .

$\frac{0.07908\overline{3} + 0.00008 - (0.1 + 0.08 \cdot 0.6) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $0.08$ by $0.6$ .

$\frac{0.07908\overline{3} + 0.00008 - (0.1 + 0.048) \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Add $0.1$ and $0.048$ .

$\frac{0.07908\overline{3} + 0.00008 - 1 \cdot 0.148 \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $- 1$ by $0.148$ .

$\frac{0.07908\overline{3} + 0.00008 - 0.148 \cdot 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $- 0.148$ by $0$ .

$\frac{0.07908\overline{3} + 0.00008 + 0}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Add $0.07908\overline{3} + 0.00008$ and $0$ .

$\frac{0.07908\overline{3} + 0.00008}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Add $0.07908\overline{3}$ and $0.00008$ .

$\frac{0.07916\overline{3}}{0.6 - (0.6 \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Simplify the denominator.

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Cancel the common factor of $72$ .

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Factor $72$ out of $0.6$ .

$\frac{0.07916\overline{3}}{0.6 - (72 (0.008\overline{3}) \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Cancel the common factor.

$\frac{0.07916\overline{3}}{0.6 - (72 \cdot 0.008\overline{3} \cdot \frac{73}{72} \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Rewrite the expression.

$\frac{0.07916\overline{3}}{0.6 - (0.008\overline{3} \cdot 73 \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $0.008\overline{3}$ by $73$ .

$\frac{0.07916\overline{3}}{0.6 - (0.60833333 \cdot 0.13) - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $0.60833333$ by $0.13$ .

$\frac{0.07916\overline{3}}{0.6 - 1 \cdot 0.07908\overline{3} - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $- 1$ by $0.07908\overline{3}$ .

$\frac{0.07916\overline{3}}{0.6 - 0.07908\overline{3} - (0.1 + 0.08 \cdot 0.6) (1 - 0.2)}$

Multiply $0.08$ by $0.6$ .

$\frac{0.07916\overline{3}}{0.6 - 0.07908\overline{3} - (0.1 + 0.048) (1 - 0.2)}$

Add $0.1$ and $0.048$ .

$\frac{0.07916\overline{3}}{0.6 - 0.07908\overline{3} - 1 \cdot 0.148 (1 - 0.2)}$

Multiply $- 1$ by $0.148$ .

$\frac{0.07916\overline{3}}{0.6 - 0.07908\overline{3} - 0.148 (1 - 0.2)}$

Subtract $0.2$ from $1$ .

$\frac{0.07916\overline{3}}{0.6 - 0.07908\overline{3} - 0.148 \cdot 0.8}$

Multiply $- 0.148$ by $0.8$ .

$\frac{0.07916\overline{3}}{0.6 - 0.07908\overline{3} - 0.1184}$

Subtract $0.07908\overline{3}$ from $0.6$ .

$\frac{0.07916\overline{3}}{0.52091\overline{6} - 0.1184}$

Subtract $0.1184$ from $0.52091\overline{6}$ .

$\frac{0.07916\overline{3}}{0.40251\overline{6}}$

Divide $0.07916\overline{3}$ by $0.40251\overline{6}$ .

$0.19667094$

Evaluate (0.6(365/360*0.13)+0.0002(1-0.6)-(0.1+0.08*0.6)*0)/(0.6-(0.6*365/360*0.13)-(0.1+0.08*0.6)(1-0.2))

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