Pre-Algebra Examples

$\frac{\frac{5}{8}}{\frac{9}{10}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{8} \cdot \frac{10}{9}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{5}{2 (4)} \cdot \frac{10}{9}$

Step 2.2

Factor $2$ out of $10$ .

$\frac{5}{2 \cdot 4} \cdot \frac{2 \cdot 5}{9}$

Step 2.3

Cancel the common factor.

$\frac{5}{2 \cdot 4} \cdot \frac{2 \cdot 5}{9}$

Step 2.4

Rewrite the expression.

$\frac{5}{4} \cdot \frac{5}{9}$

$\frac{5}{4} \cdot \frac{5}{9}$

Step 3

Multiply $\frac{5}{4}$ by $\frac{5}{9}$ .

$\frac{5 \cdot 5}{4 \cdot 9}$

Step 4

Multiply.

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Step 4.1

Multiply $5$ by $5$ .

$\frac{25}{4 \cdot 9}$

Step 4.2

Multiply $4$ by $9$ .

$\frac{25}{36}$

$\frac{25}{36}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{36}$

Decimal Form:

$0.69\overline{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$