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Evaluate (5/6)/(10/13)

$\frac{\frac{5}{6}}{\frac{10}{13}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} \cdot \frac{13}{10}$

Step 2

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$\frac{5}{6} \cdot \frac{13}{5 (2)}$

Cancel the common factor.

$\frac{5}{6} \cdot \frac{13}{5 \cdot 2}$

Rewrite the expression.

$\frac{1}{6} \cdot \frac{13}{2}$

$\frac{1}{6} \cdot \frac{13}{2}$

Step 3

Multiply $\frac{1}{6}$ by $\frac{13}{2}$ .

$\frac{13}{6 \cdot 2}$

Step 4

Multiply $6$ by $2$ .

$\frac{13}{12}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{12}$

Decimal Form:

$1.08\overline{3}$

Mixed Number Form:

$1 \frac{1}{12}$

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