Basic Math Examples

\frac{1}{3} \cdot 30000 + \frac{2}{5} \cdot 30000

$\frac{1}{3} \cdot 30000 + \frac{2}{5} \cdot 30000$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

3

$3$ .

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Step 1.1.1

Factor

3

$3$ out of

30000

$30000$ .

\frac{1}{3} \cdot (3 (10000)) + \frac{2}{5} \cdot 30000

$\frac{1}{3} \cdot (3 (10000)) + \frac{2}{5} \cdot 30000$

Step 1.1.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 10000) + \frac{2}{5} \cdot 30000$

Step 1.1.3

Rewrite the expression.

$10000 + \frac{2}{5} \cdot 30000$

Step 1.2

Cancel the common factor of

$5$ .

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Step 1.2.1

Factor

$5$ out of

$30000$ .

$10000 + \frac{2}{5} \cdot (5 (6000))$

Step 1.2.2

Cancel the common factor.

$10000 + \frac{2}{5} \cdot (5 \cdot 6000)$

Step 1.2.3

Rewrite the expression.

$10000 + 2 \cdot 6000$

Step 1.3

Multiply

$2$ by

$6000$ .

$10000 + 12000$

Step 2

Add

$10000$ and

$12000$ .

$22000$