Basic Math Examples

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

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

Step 1

Convert

33 \frac{1}{3}

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

Tap for more steps...

Step 1.1

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

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

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

Step 1.2

Add

33

$33$ and

\frac{1}{3}

$\frac{1}{3}$ .

Tap for more steps...

Step 1.2.1

To write

33

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

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.2.2

Combine

33

$33$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

33

$33$ by

3

$3$ .

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

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

Step 1.2.4.2

Add

99

$99$ and

1

$1$ .

\frac{100}{3} \cdot 180

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

\frac{100}{3} \cdot 180

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

\frac{100}{3} \cdot 180

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

\frac{100}{3} \cdot 180

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

Step 2

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 2.1

Factor

3

$3$ out of

180

$180$ .

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

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

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

$60$ .

$6000$