Pre-Algebra Examples

$\frac{9}{12} \div \frac{6}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{12} \cdot \frac{7}{6}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{12} \cdot \frac{7}{6}$

Step 2.2

Factor $3$ out of $6$ .

$\frac{3 \cdot 3}{12} \cdot \frac{7}{3 \cdot 2}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot 3}{12} \cdot \frac{7}{3 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{3}{12} \cdot \frac{7}{2}$

$\frac{3}{12} \cdot \frac{7}{2}$

Step 3

Multiply $\frac{3}{12}$ by $\frac{7}{2}$ .

$\frac{3 \cdot 7}{12 \cdot 2}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $7$ .

$\frac{21}{12 \cdot 2}$

Step 4.2

Multiply $12$ by $2$ .

$\frac{21}{24}$

$\frac{21}{24}$

Step 5

Cancel the common factor of $21$ and $24$ .

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Step 5.1

Factor $3$ out of $21$ .

$\frac{3 (7)}{24}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $24$ .

$\frac{3 \cdot 7}{3 \cdot 8}$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot 7}{3 \cdot 8}$

Step 5.2.3

Rewrite the expression.

$\frac{7}{8}$

$\frac{7}{8}$

$\frac{7}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{8}$

Decimal Form:

$0.875$

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