Pre-Algebra Examples

$\frac{7}{8} \div \frac{5}{18}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{8} \cdot \frac{18}{5}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{7}{2 (4)} \cdot \frac{18}{5}$

Step 2.2

Factor $2$ out of $18$ .

$\frac{7}{2 \cdot 4} \cdot \frac{2 \cdot 9}{5}$

Step 2.3

Cancel the common factor.

$\frac{7}{2 \cdot 4} \cdot \frac{2 \cdot 9}{5}$

Step 2.4

Rewrite the expression.

$\frac{7}{4} \cdot \frac{9}{5}$

$\frac{7}{4} \cdot \frac{9}{5}$

Step 3

Multiply $\frac{7}{4}$ by $\frac{9}{5}$ .

$\frac{7 \cdot 9}{4 \cdot 5}$

Step 4

Multiply.

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Step 4.1

Multiply $7$ by $9$ .

$\frac{63}{4 \cdot 5}$

Step 4.2

Multiply $4$ by $5$ .

$\frac{63}{20}$

$\frac{63}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{63}{20}$

Decimal Form:

$3.15$

Mixed Number Form:

$3 \frac{3}{20}$

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