Basic Math Examples

34 \frac{3}{16} %

$34 \frac{3}{16} %$

Step 1

Convert the percentage to a fraction by placing the expression over

$100$ . Percentage means 'out of

$100$ '.

$\frac{34 \frac{3}{16}}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

$34 \frac{3}{16}$ to an improper fraction.

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Step 2.1.1

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

$\frac{34 + \frac{3}{16}}{100}$

Step 2.1.2

Add

$34$ and

$\frac{3}{16}$ .

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Step 2.1.2.1

To write

$34$ as a fraction with a common denominator, multiply by

$\frac{16}{16}$ .

$\frac{34 \cdot \frac{16}{16} + \frac{3}{16}}{100}$

Step 2.1.2.2

Combine

$34$ and

$\frac{16}{16}$ .

$\frac{\frac{34 \cdot 16}{16} + \frac{3}{16}}{100}$

Step 2.1.2.3

Combine the numerators over the common denominator.

$\frac{\frac{34 \cdot 16 + 3}{16}}{100}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply

$34$ by

$16$ .

$\frac{\frac{544 + 3}{16}}{100}$

Step 2.1.2.4.2

Add

$544$ and

$3$ .

$\frac{\frac{547}{16}}{100}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{547}{16} \cdot \frac{1}{100}$

Step 2.3

Multiply

$\frac{547}{16} \cdot \frac{1}{100}$ .

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Step 2.3.1

Multiply

$\frac{547}{16}$ by

$\frac{1}{100}$ .

$\frac{547}{16 \cdot 100}$

Step 2.3.2

Multiply

$16$ by

$100$ .

$\frac{547}{1600}$