Basic Math Examples

$8000 \cdot 3 \frac{3}{4}$

Step 1

Convert

$3 \frac{3}{4}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$8000 \cdot (3 + \frac{3}{4})$

Step 1.2

Add

$3$ and

$\frac{3}{4}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$8000 \cdot (3 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine

$3$ and

$\frac{4}{4}$ .

$8000 \cdot (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$8000 \cdot \frac{3 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$4$ .

$8000 \cdot \frac{12 + 3}{4}$

Step 1.2.4.2

Add

$12$ and

$3$ .

$8000 \cdot \frac{15}{4}$

Step 2

Cancel the common factor of

$4$ .

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Step 2.1

Factor

$4$ out of

$8000$ .

$4 (2000) \cdot \frac{15}{4}$

Step 2.2

Cancel the common factor.

$4 \cdot 2000 \cdot \frac{15}{4}$

Step 2.3

Rewrite the expression.

$2000 \cdot 15$

Step 3

Multiply

$2000$ by

$15$ .

$30000$