Pre-Algebra Examples

$\frac{\frac{6}{7} \cdot \frac{28}{1}}{\frac{2}{9} \cdot \frac{75}{1}}$

Step 1

Simplify.

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Step 1.1

Divide $28$ by $1$ .

$\frac{\frac{6}{7} \cdot 28}{\frac{2}{9} \cdot \frac{75}{1}}$

Step 1.2

Divide $75$ by $1$ .

$\frac{\frac{6}{7} \cdot 28}{\frac{2}{9} \cdot 75}$

Step 2

Combine $\frac{6}{7}$ and $28$ .

$\frac{\frac{6 \cdot 28}{7}}{\frac{2}{9} \cdot 75}$

Step 3

Combine $\frac{2}{9}$ and $75$ .

$\frac{\frac{6 \cdot 28}{7}}{\frac{2 \cdot 75}{9}}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $6$ by $28$ .

$\frac{\frac{168}{7}}{\frac{2 \cdot 75}{9}}$

Step 4.2

Multiply $2$ by $75$ .

$\frac{\frac{168}{7}}{\frac{150}{9}}$

Step 4.3

Divide $168$ by $7$ .

$\frac{24}{\frac{150}{9}}$

Step 5

Cancel the common factor of $150$ and $9$ .

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Step 5.1

Factor $3$ out of $150$ .

$\frac{24}{\frac{3 (50)}{9}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $9$ .

$\frac{24}{\frac{3 \cdot 50}{3 \cdot 3}}$

Step 5.2.2

Cancel the common factor.

$\frac{24}{\frac{3 \cdot 50}{3 \cdot 3}}$

Step 5.2.3

Rewrite the expression.

$\frac{24}{\frac{50}{3}}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$24 (\frac{3}{50})$

Step 7

Cancel the common factor of $2$ .

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Step 7.1

Factor $2$ out of $24$ .

$2 (12) \frac{3}{50}$

Step 7.2

Factor $2$ out of $50$ .

$2 \cdot 12 \frac{3}{2 \cdot 25}$

Step 7.3

Cancel the common factor.

$2 \cdot 12 \frac{3}{2 \cdot 25}$

Step 7.4

Rewrite the expression.

$12 (\frac{3}{25})$

Step 8

Combine $12$ and $\frac{3}{25}$ .

$\frac{12 \cdot 3}{25}$

Step 9

Multiply $12$ by $3$ .

$\frac{36}{25}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{36}{25}$

Decimal Form:

$1.44$

Mixed Number Form:

$1 \frac{11}{25}$