Basic Math Examples

$\frac{1}{5} \cdot \frac{3}{7} \cdot \frac{10}{11}$

Step 1

Multiply $\frac{1}{5} \cdot \frac{3}{7}$ .

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Step 1.1

Multiply $\frac{1}{5}$ by $\frac{3}{7}$ .

$\frac{3}{5 \cdot 7} \cdot \frac{10}{11}$

Step 1.2

Multiply $5$ by $7$ .

$\frac{3}{35} \cdot \frac{10}{11}$

$\frac{3}{35} \cdot \frac{10}{11}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $35$ .

$\frac{3}{5 (7)} \cdot \frac{10}{11}$

Step 2.2

Factor $5$ out of $10$ .

$\frac{3}{5 \cdot 7} \cdot \frac{5 \cdot 2}{11}$

Step 2.3

Cancel the common factor.

$\frac{3}{5 \cdot 7} \cdot \frac{5 \cdot 2}{11}$

Step 2.4

Rewrite the expression.

$\frac{3}{7} \cdot \frac{2}{11}$

$\frac{3}{7} \cdot \frac{2}{11}$

Step 3

Multiply $\frac{3}{7}$ by $\frac{2}{11}$ .

$\frac{3 \cdot 2}{7 \cdot 11}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $2$ .

$\frac{6}{7 \cdot 11}$

Step 4.2

Multiply $7$ by $11$ .

$\frac{6}{77}$

$\frac{6}{77}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{77}$

Decimal Form:

$0.\overline{077922}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$