Pre-Algebra Examples

$\frac{\frac{7}{8}}{\frac{13}{16}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{8} \cdot \frac{16}{13}$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Factor $8$ out of $16$ .

$\frac{7}{8} \cdot \frac{8 (2)}{13}$

Step 2.2

Cancel the common factor.

$\frac{7}{8} \cdot \frac{8 \cdot 2}{13}$

Step 2.3

Rewrite the expression.

$7 (\frac{2}{13})$

Step 3

Combine $7$ and $\frac{2}{13}$ .

$\frac{7 \cdot 2}{13}$

Step 4

Multiply $7$ by $2$ .

$\frac{14}{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{13}$

Decimal Form:

$1.\overline{076923}$

Mixed Number Form:

$1 \frac{1}{13}$