Basic Math Examples

$\frac{3 \frac{5}{8}}{100}$

Step 1

Convert

$3 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

$\frac{3 + \frac{5}{8}}{100}$

Step 1.2

Add

$3$ and

$\frac{5}{8}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$\frac{3 \cdot \frac{8}{8} + \frac{5}{8}}{100}$

Step 1.2.2

Combine

$3$ and

$\frac{8}{8}$ .

$\frac{\frac{3 \cdot 8}{8} + \frac{5}{8}}{100}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{\frac{3 \cdot 8 + 5}{8}}{100}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$8$ .

$\frac{\frac{24 + 5}{8}}{100}$

Step 1.2.4.2

Add

$24$ and

$5$ .

$\frac{\frac{29}{8}}{100}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{29}{8} \cdot \frac{1}{100}$

Step 3

Multiply

$\frac{29}{8} \cdot \frac{1}{100}$ .

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Step 3.1

Multiply

$\frac{29}{8}$ by

$\frac{1}{100}$ .

$\frac{29}{8 \cdot 100}$

Step 3.2

Multiply

$8$ by

$100$ .

$\frac{29}{800}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{800}$

Decimal Form:

$0.03625$