Basic Math Examples

5000 \div 33 \frac{1}{3}

$5000 \div 33 \frac{1}{3}$

Step 1

Convert

33 \frac{1}{3}

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

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Step 1.1

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

5000 \div (33 + \frac{1}{3})

$5000 \div (33 + \frac{1}{3})$

Step 1.2

Add

33

$33$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

33

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

\frac{3}{3}

$\frac{3}{3}$ .

5000 \div (33 \cdot \frac{3}{3} + \frac{1}{3})

$5000 \div (33 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

33

$33$ and

\frac{3}{3}

$\frac{3}{3}$ .

5000 \div (\frac{33 \cdot 3}{3} + \frac{1}{3})

$5000 \div (\frac{33 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

5000 \div \frac{33 \cdot 3 + 1}{3}

$5000 \div \frac{33 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

33

$33$ by

3

$3$ .

5000 \div \frac{99 + 1}{3}

$5000 \div \frac{99 + 1}{3}$

Step 1.2.4.2

Add

99

$99$ and

1

$1$ .

5000 \div \frac{100}{3}

$5000 \div \frac{100}{3}$

5000 \div \frac{100}{3}

$5000 \div \frac{100}{3}$

5000 \div \frac{100}{3}

$5000 \div \frac{100}{3}$

5000 \div \frac{100}{3}

$5000 \div \frac{100}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

5000 (\frac{3}{100})

$5000 (\frac{3}{100})$

Step 3

Cancel the common factor of

100

$100$ .

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Step 3.1

Factor

100

$100$ out of

5000

$5000$ .

100 (50) \frac{3}{100}

$100 (50) \frac{3}{100}$

Step 3.2

Cancel the common factor.

$100 \cdot 50 \frac{3}{100}$

Step 3.3

Rewrite the expression.

$50 \cdot 3$

Step 4

Multiply

$50$ by

$3$ .

$150$