Basic Math Examples

$b = \frac{80}{160} \cdot 0.954 + \frac{80}{160} \cdot 0.543$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $80$ and $160$ .

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Step 1.1.1

Factor $80$ out of $80$ .

$b = \frac{80 (1)}{160} \cdot 0.954 + \frac{80}{160} \cdot 0.543$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $80$ out of $160$ .

$b = \frac{80 \cdot 1}{80 \cdot 2} \cdot 0.954 + \frac{80}{160} \cdot 0.543$

Step 1.1.2.2

Cancel the common factor.

$b = \frac{80 \cdot 1}{80 \cdot 2} \cdot 0.954 + \frac{80}{160} \cdot 0.543$

Step 1.1.2.3

Rewrite the expression.

$b = \frac{1}{2} \cdot 0.954 + \frac{80}{160} \cdot 0.543$

Step 1.2

Combine $\frac{1}{2}$ and $0.954$ .

$b = \frac{0.954}{2} + \frac{80}{160} \cdot 0.543$

Step 1.3

Divide $0.954$ by $2$ .

$b = 0.477 + \frac{80}{160} \cdot 0.543$

Step 1.4

Cancel the common factor of $80$ and $160$ .

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Step 1.4.1

Factor $80$ out of $80$ .

$b = 0.477 + \frac{80 (1)}{160} \cdot 0.543$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $80$ out of $160$ .

$b = 0.477 + \frac{80 \cdot 1}{80 \cdot 2} \cdot 0.543$

Step 1.4.2.2

Cancel the common factor.

$b = 0.477 + \frac{80 \cdot 1}{80 \cdot 2} \cdot 0.543$

Step 1.4.2.3

Rewrite the expression.

$b = 0.477 + \frac{1}{2} \cdot 0.543$

Step 1.5

Combine $\frac{1}{2}$ and $0.543$ .

$b = 0.477 + \frac{0.543}{2}$

Step 1.6

Divide $0.543$ by $2$ .

$b = 0.477 + 0.2715$

Step 2

Add $0.477$ and $0.2715$ .

$b = 0.7485$