Basic Math Examples

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

$30 \cdot 33 \frac{1}{3}$

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.

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

$30 \cdot (33 + \frac{1}{3})$

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}

$\frac{3}{3}$ .

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

$30 \cdot (33 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

33

$33$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

$30 \cdot (\frac{33 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

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

$30 \cdot \frac{33 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

33

$33$ by

3

$3$ .

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

$30 \cdot \frac{99 + 1}{3}$

Step 1.2.4.2

Add

99

$99$ and

1

$1$ .

30 \cdot \frac{100}{3}

$30 \cdot \frac{100}{3}$

30 \cdot \frac{100}{3}

$30 \cdot \frac{100}{3}$

30 \cdot \frac{100}{3}

$30 \cdot \frac{100}{3}$

30 \cdot \frac{100}{3}

$30 \cdot \frac{100}{3}$

Step 2

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 2.1

Factor

3

$3$ out of

30

$30$ .

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

$3 (10) \cdot \frac{100}{3}$

Step 2.2

Cancel the common factor.

$3 \cdot 10 \cdot \frac{100}{3}$

Step 2.3

Rewrite the expression.

$10 \cdot 100$

Step 3

Multiply

$10$ by

$100$ .

$1000$