Basic Math Examples

$b = \frac{40}{160} \cdot 0.9544 + \frac{120}{160} \cdot 0.9544$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $40$ and $160$ .

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Step 1.1.1

Factor $40$ out of $40$ .

$b = \frac{40 (1)}{160} \cdot 0.9544 + \frac{120}{160} \cdot 0.9544$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $40$ out of $160$ .

$b = \frac{40 \cdot 1}{40 \cdot 4} \cdot 0.9544 + \frac{120}{160} \cdot 0.9544$

Step 1.1.2.2

Cancel the common factor.

$b = \frac{40 \cdot 1}{40 \cdot 4} \cdot 0.9544 + \frac{120}{160} \cdot 0.9544$

Step 1.1.2.3

Rewrite the expression.

$b = \frac{1}{4} \cdot 0.9544 + \frac{120}{160} \cdot 0.9544$

Step 1.2

Combine $\frac{1}{4}$ and $0.9544$ .

$b = \frac{0.9544}{4} + \frac{120}{160} \cdot 0.9544$

Step 1.3

Divide $0.9544$ by $4$ .

$b = 0.2386 + \frac{120}{160} \cdot 0.9544$

Step 1.4

Cancel the common factor of $120$ and $160$ .

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Step 1.4.1

Factor $40$ out of $120$ .

$b = 0.2386 + \frac{40 (3)}{160} \cdot 0.9544$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $40$ out of $160$ .

$b = 0.2386 + \frac{40 \cdot 3}{40 \cdot 4} \cdot 0.9544$

Step 1.4.2.2

Cancel the common factor.

$b = 0.2386 + \frac{40 \cdot 3}{40 \cdot 4} \cdot 0.9544$

Step 1.4.2.3

Rewrite the expression.

$b = 0.2386 + \frac{3}{4} \cdot 0.9544$

Step 1.5

Multiply $\frac{3}{4} \cdot 0.9544$ .

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Step 1.5.1

Combine $\frac{3}{4}$ and $0.9544$ .

$b = 0.2386 + \frac{3 \cdot 0.9544}{4}$

Step 1.5.2

Multiply $3$ by $0.9544$ .

$b = 0.2386 + \frac{2.8632}{4}$

Step 1.6

Divide $2.8632$ by $4$ .

$b = 0.2386 + 0.7158$

Step 2

Add $0.2386$ and $0.7158$ .

$b = 0.9544$