Basic Math Examples

$\frac{\frac{1}{16}}{17 \frac{7}{8}}$

Step 1

Convert $17 \frac{7}{8}$ to an improper fraction.

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Step 1.1

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

$\frac{\frac{1}{16}}{17 + \frac{7}{8}}$

Step 1.2

Add $17$ and $\frac{7}{8}$ .

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Step 1.2.1

To write $17$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{\frac{1}{16}}{17 \cdot \frac{8}{8} + \frac{7}{8}}$

Step 1.2.2

Combine $17$ and $\frac{8}{8}$ .

$\frac{\frac{1}{16}}{\frac{17 \cdot 8}{8} + \frac{7}{8}}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{\frac{1}{16}}{\frac{17 \cdot 8 + 7}{8}}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $17$ by $8$ .

$\frac{\frac{1}{16}}{\frac{136 + 7}{8}}$

Step 1.2.4.2

Add $136$ and $7$ .

$\frac{\frac{1}{16}}{\frac{143}{8}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{16} \cdot \frac{8}{143}$

Step 3

Cancel the common factor of $8$ .

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Step 3.1

Factor $8$ out of $16$ .

$\frac{1}{8 (2)} \cdot \frac{8}{143}$

Step 3.2

Cancel the common factor.

$\frac{1}{8 \cdot 2} \cdot \frac{8}{143}$

Step 3.3

Rewrite the expression.

$\frac{1}{2} \cdot \frac{1}{143}$

Step 4

Multiply $\frac{1}{2}$ by $\frac{1}{143}$ .

$\frac{1}{2 \cdot 143}$

Step 5

Multiply $2$ by $143$ .

$\frac{1}{286}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{286}$

Decimal Form:

$0.0\overline{034965}$