Trigonometry Examples

$\frac{\frac{10}{13}}{\frac{169 - 100}{169}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{10}{13} \cdot \frac{169}{169 - 100}$

Step 2

Cancel the common factor of $13$ .

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Step 2.1

Factor $13$ out of $169$ .

$\frac{10}{13} \cdot \frac{13 (13)}{169 - 100}$

Step 2.2

Cancel the common factor.

$\frac{10}{13} \cdot \frac{13 \cdot 13}{169 - 100}$

Step 2.3

Rewrite the expression.

$10 \frac{13}{169 - 100}$

Step 3

Combine $10$ and $\frac{13}{169 - 100}$ .

$\frac{10 \cdot 13}{169 - 100}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $10$ by $13$ .

$\frac{130}{169 - 100}$

Step 4.2

Subtract $100$ from $169$ .

$\frac{130}{69}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{130}{69}$

Decimal Form:

$1.88405797 \dots$

Mixed Number Form:

$1 \frac{61}{69}$