Algebra Examples

$\frac{7}{27} \cdot \frac{5}{14} \cdot \frac{9}{25}$

Step 1

Cancel the common factor of $7$ .

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Step 1.1

Factor $7$ out of $14$ .

$\frac{7}{27} \cdot \frac{5}{7 (2)} \cdot \frac{9}{25}$

Step 1.2

Cancel the common factor.

$\frac{7}{27} \cdot \frac{5}{7 \cdot 2} \cdot \frac{9}{25}$

Step 1.3

Rewrite the expression.

$\frac{1}{27} \cdot \frac{5}{2} \cdot \frac{9}{25}$

Step 2

Multiply $\frac{1}{27}$ by $\frac{5}{2}$ .

$\frac{5}{27 \cdot 2} \cdot \frac{9}{25}$

Step 3

Multiply $27$ by $2$ .

$\frac{5}{54} \cdot \frac{9}{25}$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $25$ .

$\frac{5}{54} \cdot \frac{9}{5 (5)}$

Step 4.2

Cancel the common factor.

$\frac{5}{54} \cdot \frac{9}{5 \cdot 5}$

Step 4.3

Rewrite the expression.

$\frac{1}{54} \cdot \frac{9}{5}$

Step 5

Cancel the common factor of $9$ .

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Step 5.1

Factor $9$ out of $54$ .

$\frac{1}{9 (6)} \cdot \frac{9}{5}$

Step 5.2

Cancel the common factor.

$\frac{1}{9 \cdot 6} \cdot \frac{9}{5}$

Step 5.3

Rewrite the expression.

$\frac{1}{6} \cdot \frac{1}{5}$

Step 6

Multiply $\frac{1}{6}$ by $\frac{1}{5}$ .

$\frac{1}{6 \cdot 5}$

Step 7

Multiply $6$ by $5$ .

$\frac{1}{30}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{30}$

Decimal Form:

$0.0\overline{3}$