Basic Math Examples

$\frac{1}{5} \cdot \frac{2}{7} \cdot \frac{3}{10} \div \frac{15}{2}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{5} \cdot \frac{2}{7} \cdot \frac{3}{10} \frac{2}{15}$

Step 2

Multiply $\frac{1}{5} \cdot \frac{2}{7}$ .

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Step 2.1

Multiply $\frac{1}{5}$ by $\frac{2}{7}$ .

$\frac{2}{5 \cdot 7} \cdot \frac{3}{10} \frac{2}{15}$

Step 2.2

Multiply $5$ by $7$ .

$\frac{2}{35} \cdot \frac{3}{10} \frac{2}{15}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $10$ .

$\frac{2}{35} \cdot \frac{3}{2 (5)} \frac{2}{15}$

Step 3.2

Cancel the common factor.

$\frac{2}{35} \cdot \frac{3}{2 \cdot 5} \frac{2}{15}$

Step 3.3

Rewrite the expression.

$\frac{1}{35} \cdot \frac{3}{5} \frac{2}{15}$

Step 4

Multiply $\frac{1}{35}$ by $\frac{3}{5}$ .

$\frac{3}{35 \cdot 5} \cdot \frac{2}{15}$

Step 5

Multiply $35$ by $5$ .

$\frac{3}{175} \cdot \frac{2}{15}$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $15$ .

$\frac{3}{175} \cdot \frac{2}{3 (5)}$

Step 6.2

Cancel the common factor.

$\frac{3}{175} \cdot \frac{2}{3 \cdot 5}$

Step 6.3

Rewrite the expression.

$\frac{1}{175} \cdot \frac{2}{5}$

Step 7

Multiply $\frac{1}{175}$ by $\frac{2}{5}$ .

$\frac{2}{175 \cdot 5}$

Step 8

Multiply $175$ by $5$ .

$\frac{2}{875}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{875}$

Decimal Form:

$0.00228571 \dots$