Algebra Examples

$\frac{3}{7} \cdot 0.1 \div \frac{5}{21}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{7} \cdot 0.1 \frac{21}{5}$

Step 2

Cancel the common factor of $0.1$ .

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Step 2.1

Factor $0.1$ out of $\frac{3}{7} \cdot 0.1$ .

$0.1 (\frac{30}{7} \cdot 0.1) \frac{21}{5}$

Step 2.2

Factor $0.1$ out of $5$ .

$0.1 (\frac{30}{7} \cdot 0.1) \frac{21}{0.1 (50)}$

Step 2.3

Cancel the common factor.

$0.1 (\frac{30}{7} \cdot 0.1) \frac{21}{0.1 \cdot 50}$

Step 2.4

Rewrite the expression.

$\frac{30}{7} \cdot 0.1 \frac{21}{50}$

Step 3

Combine $\frac{30}{7}$ and $0.1$ .

$\frac{30 \cdot 0.1}{7} \cdot \frac{21}{50}$

Step 4

Multiply $30$ by $0.1$ .

$\frac{3}{7} \cdot \frac{21}{50}$

Step 5

Multiply $\frac{3}{7}$ by $\frac{21}{50}$ .

$\frac{3 \cdot 21}{7 \cdot 50}$

Step 6

Multiply.

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Step 6.1

Multiply $3$ by $21$ .

$\frac{63}{7 \cdot 50}$

Step 6.2

Multiply $7$ by $50$ .

$\frac{63}{350}$

Step 7

Cancel the common factor of $63$ and $350$ .

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Step 7.1

Factor $7$ out of $63$ .

$\frac{7 (9)}{350}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $7$ out of $350$ .

$\frac{7 \cdot 9}{7 \cdot 50}$

Step 7.2.2

Cancel the common factor.

$\frac{7 \cdot 9}{7 \cdot 50}$

Step 7.2.3

Rewrite the expression.

$\frac{9}{50}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{50}$

Decimal Form:

$0.18$