Algebra Examples

33 \frac{1}{3} %

$33 \frac{1}{3} %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{33 \frac{1}{3}}{100}

$\frac{33 \frac{1}{3}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

33 \frac{1}{3}

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

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Step 2.1.1

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

\frac{33 + \frac{1}{3}}{100}

$\frac{33 + \frac{1}{3}}{100}$

Step 2.1.2

Add

33

$33$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 2.1.2.1

To write

33

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

\frac{3}{3}

$\frac{3}{3}$ .

\frac{33 \cdot \frac{3}{3} + \frac{1}{3}}{100}

$\frac{33 \cdot \frac{3}{3} + \frac{1}{3}}{100}$

Step 2.1.2.2

Combine

33

$33$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{\frac{33 \cdot 3}{3} + \frac{1}{3}}{100}

$\frac{\frac{33 \cdot 3}{3} + \frac{1}{3}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

\frac{\frac{33 \cdot 3 + 1}{3}}{100}

$\frac{\frac{33 \cdot 3 + 1}{3}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

33

$33$ by

3

$3$ .

\frac{\frac{99 + 1}{3}}{100}

$\frac{\frac{99 + 1}{3}}{100}$

Step 2.1.2.4.2

Add

99

$99$ and

1

$1$ .

\frac{\frac{100}{3}}{100}

$\frac{\frac{100}{3}}{100}$

\frac{\frac{100}{3}}{100}

$\frac{\frac{100}{3}}{100}$

\frac{\frac{100}{3}}{100}

$\frac{\frac{100}{3}}{100}$

\frac{\frac{100}{3}}{100}

$\frac{\frac{100}{3}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

\frac{100}{3} \cdot \frac{1}{100}

$\frac{100}{3} \cdot \frac{1}{100}$

Step 2.3

Cancel the common factor of

100

$100$ .

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Step 2.3.1

Cancel the common factor.

$\frac{100}{3} \cdot \frac{1}{100}$

Step 2.3.2

Rewrite the expression.

$\frac{1}{3}$