Basic Math Examples

$33 \frac{1}{3} \cdot 180$

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.

$(33 + \frac{1}{3}) \cdot 180$

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 $\frac{3}{3}$ .

$(33 \cdot \frac{3}{3} + \frac{1}{3}) \cdot 180$

Step 1.2.2

Combine $33$ and $\frac{3}{3}$ .

$(\frac{33 \cdot 3}{3} + \frac{1}{3}) \cdot 180$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{33 \cdot 3 + 1}{3} \cdot 180$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $33$ by $3$ .

$\frac{99 + 1}{3} \cdot 180$

Step 1.2.4.2

Add $99$ and $1$ .

$\frac{100}{3} \cdot 180$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $180$ .

$\frac{100}{3} \cdot (3 (60))$

Step 2.2

Cancel the common factor.

$\frac{100}{3} \cdot (3 \cdot 60)$

Step 2.3

Rewrite the expression.

$100 \cdot 60$

Step 3

Multiply $100$ by $60$ .

$6000$