Basic Math Examples

$\frac{0.218 \cdot 126}{3 \cdot 80}$

Step 1

Cancel the common factor of $126$ and $3$ .

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Step 1.1

Factor $3$ out of $0.218 \cdot 126$ .

$\frac{3 (0.072\overline{6} \cdot 126)}{3 \cdot 80}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3 \cdot 80$ .

$\frac{3 (0.072\overline{6} \cdot 126)}{3 (80)}$

Step 1.2.2

Cancel the common factor.

$\frac{3 (0.072\overline{6} \cdot 126)}{3 \cdot 80}$

Step 1.2.3

Rewrite the expression.

$\frac{0.072\overline{6} \cdot 126}{80}$

Step 2

Cancel the common factor of $126$ and $80$ .

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Step 2.1

Factor $2$ out of $0.072\overline{6} \cdot 126$ .

$\frac{2 (0.036\overline{3} \cdot 126)}{80}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $80$ .

$\frac{2 (0.036\overline{3} \cdot 126)}{2 (40)}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (0.036\overline{3} \cdot 126)}{2 \cdot 40}$

Step 2.2.3

Rewrite the expression.

$\frac{0.036\overline{3} \cdot 126}{40}$

Step 3

Cancel the common factor of $126$ and $40$ .

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Step 3.1

Factor $2$ out of $0.036\overline{3} \cdot 126$ .

$\frac{2 (0.0181\overline{6} \cdot 126)}{40}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $40$ .

$\frac{2 (0.0181\overline{6} \cdot 126)}{2 (20)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (0.0181\overline{6} \cdot 126)}{2 \cdot 20}$

Step 3.2.3

Rewrite the expression.

$\frac{0.0181\overline{6} \cdot 126}{20}$

Step 4

Cancel the common factor of $126$ and $20$ .

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Step 4.1

Factor $2$ out of $0.0181\overline{6} \cdot 126$ .

$\frac{2 (0.00908\overline{3} \cdot 126)}{20}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $20$ .

$\frac{2 (0.00908\overline{3} \cdot 126)}{2 (10)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (0.00908\overline{3} \cdot 126)}{2 \cdot 10}$

Step 4.2.3

Rewrite the expression.

$\frac{0.00908\overline{3} \cdot 126}{10}$

Step 5

Cancel the common factor of $126$ and $10$ .

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Step 5.1

Factor $2$ out of $0.00908\overline{3} \cdot 126$ .

$\frac{2 (0.004541\overline{6} \cdot 126)}{10}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $10$ .

$\frac{2 (0.004541\overline{6} \cdot 126)}{2 (5)}$

Step 5.2.2

Cancel the common factor.

$\frac{2 (0.004541\overline{6} \cdot 126)}{2 \cdot 5}$

Step 5.2.3

Rewrite the expression.

$\frac{0.004541\overline{6} \cdot 126}{5}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $0.004541\overline{6}$ by $126$ .

$\frac{0.57225}{5}$

Step 6.2

Divide $0.57225$ by $5$ .

$0.11445$