Basic Math Examples

$\frac{13}{126 - \frac{13}{180}}$

Step 1

Simplify the denominator.

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Step 1.1

To write $126$ as a fraction with a common denominator, multiply by $\frac{180}{180}$ .

$\frac{13}{126 \cdot \frac{180}{180} - \frac{13}{180}}$

Step 1.2

Combine $126$ and $\frac{180}{180}$ .

$\frac{13}{\frac{126 \cdot 180}{180} - \frac{13}{180}}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{13}{\frac{126 \cdot 180 - 13}{180}}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $126$ by $180$ .

$\frac{13}{\frac{22680 - 13}{180}}$

Step 1.4.2

Subtract $13$ from $22680$ .

$\frac{13}{\frac{22667}{180}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$13 (\frac{180}{22667})$

Step 3

Multiply $13 (\frac{180}{22667})$ .

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Step 3.1

Combine $13$ and $\frac{180}{22667}$ .

$\frac{13 \cdot 180}{22667}$

Step 3.2

Multiply $13$ by $180$ .

$\frac{2340}{22667}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2340}{22667}$

Decimal Form:

$0.10323377 \dots$