Algebra Examples

$3 (\frac{1}{2} \cdot 10 \cdot 13) + (\frac{1}{2} \cdot 10 \cdot 8.7)$

Step 1

Remove parentheses.

$3 (\frac{1}{2} \cdot 10 \cdot 13) + \frac{1}{2} \cdot 10 \cdot 8.7$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $10$ .

$3 (\frac{1}{2} \cdot (2 (5)) \cdot 13) + \frac{1}{2} \cdot 10 \cdot 8.7$

Step 2.1.2

Cancel the common factor.

$3 (\frac{1}{2} \cdot (2 \cdot 5) \cdot 13) + \frac{1}{2} \cdot 10 \cdot 8.7$

Step 2.1.3

Rewrite the expression.

$3 (5 \cdot 13) + \frac{1}{2} \cdot 10 \cdot 8.7$

Step 2.2

Multiply $3 (5 \cdot 13)$ .

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Step 2.2.1

Multiply $5$ by $13$ .

$3 \cdot 65 + \frac{1}{2} \cdot 10 \cdot 8.7$

Step 2.2.2

Multiply $3$ by $65$ .

$195 + \frac{1}{2} \cdot 10 \cdot 8.7$

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $10$ .

$195 + \frac{1}{2} \cdot (2 (5)) \cdot 8.7$

Step 2.3.2

Cancel the common factor.

$195 + \frac{1}{2} \cdot (2 \cdot 5) \cdot 8.7$

Step 2.3.3

Rewrite the expression.

$195 + 5 \cdot 8.7$

Step 2.4

Multiply $5$ by $8.7$ .

$195 + 43.5$

Step 3

Add $195$ and $43.5$ .

$238.5$