Convert to a Simplified Fraction 34 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.

Convert

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

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

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

Add

$34$ and

$\frac{3}{16}$ .

To write

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

$\frac{16}{16}$ .

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

Combine

$34$ and

$\frac{16}{16}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply

$34$ by

$16$ .

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

Add

$544$ and

$3$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

Multiply

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

Multiply

$\frac{547}{16}$ by

$\frac{1}{100}$ .

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

Multiply

$16$ by

$100$ .

$\frac{547}{1600}$