Basic Math Examples

$360 \cdot 33 \frac{1}{3}$

Step 1

Convert

$33 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$360 \cdot (33 + \frac{1}{3})$

Step 1.2

Add

$33$ and

$\frac{1}{3}$ .

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Step 1.2.1

To write

$33$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$360 \cdot (33 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

$33$ and

$\frac{3}{3}$ .

$360 \cdot (\frac{33 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$360 \cdot \frac{33 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$33$ by

$3$ .

$360 \cdot \frac{99 + 1}{3}$

Step 1.2.4.2

Add

$99$ and

$1$ .

$360 \cdot \frac{100}{3}$

Step 2

Cancel the common factor of

$3$ .

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Step 2.1

Factor

$3$ out of

$360$ .

$3 (120) \cdot \frac{100}{3}$

Step 2.2

Cancel the common factor.

$3 \cdot 120 \cdot \frac{100}{3}$

Step 2.3

Rewrite the expression.

$120 \cdot 100$

Step 3

Multiply

$120$ by

$100$ .

$12000$