Pre-Algebra Examples

$\frac{25}{33} \div \frac{20}{121}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{25}{33} \cdot \frac{121}{20}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $25$ .

$\frac{5 (5)}{33} \cdot \frac{121}{20}$

Step 2.2

Factor $5$ out of $20$ .

$\frac{5 \cdot 5}{33} \cdot \frac{121}{5 \cdot 4}$

Step 2.3

Cancel the common factor.

$\frac{5 \cdot 5}{33} \cdot \frac{121}{5 \cdot 4}$

Step 2.4

Rewrite the expression.

$\frac{5}{33} \cdot \frac{121}{4}$

Step 3

Cancel the common factor of $11$ .

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Step 3.1

Factor $11$ out of $33$ .

$\frac{5}{11 (3)} \cdot \frac{121}{4}$

Step 3.2

Factor $11$ out of $121$ .

$\frac{5}{11 \cdot 3} \cdot \frac{11 \cdot 11}{4}$

Step 3.3

Cancel the common factor.

$\frac{5}{11 \cdot 3} \cdot \frac{11 \cdot 11}{4}$

Step 3.4

Rewrite the expression.

$\frac{5}{3} \cdot \frac{11}{4}$

Step 4

Multiply $\frac{5}{3}$ by $\frac{11}{4}$ .

$\frac{5 \cdot 11}{3 \cdot 4}$

Step 5

Multiply.

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Step 5.1

Multiply $5$ by $11$ .

$\frac{55}{3 \cdot 4}$

Step 5.2

Multiply $3$ by $4$ .

$\frac{55}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{55}{12}$

Decimal Form:

$4.58\overline{3}$

Mixed Number Form:

$4 \frac{7}{12}$