Basic Math Examples

$\frac{17}{15} \cdot \frac{2}{11} \div \frac{7}{4} \cdot \frac{3}{2}$

Step 1

Multiply $\frac{17}{15}$ by $\frac{2}{11}$ .

$\frac{17 \cdot 2}{15 \cdot 11} \div \frac{7}{4} \cdot \frac{3}{2}$

Step 2

Multiply.

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Step 2.1

Multiply $17$ by $2$ .

$\frac{34}{15 \cdot 11} \div \frac{7}{4} \cdot \frac{3}{2}$

Step 2.2

Multiply $15$ by $11$ .

$\frac{34}{165} \div \frac{7}{4} \cdot \frac{3}{2}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{34}{165} \cdot \frac{4}{7} \cdot \frac{3}{2}$

Step 4

Multiply $\frac{34}{165} \cdot \frac{4}{7}$ .

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Step 4.1

Multiply $\frac{34}{165}$ by $\frac{4}{7}$ .

$\frac{34 \cdot 4}{165 \cdot 7} \cdot \frac{3}{2}$

Step 4.2

Multiply $34$ by $4$ .

$\frac{136}{165 \cdot 7} \cdot \frac{3}{2}$

Step 4.3

Multiply $165$ by $7$ .

$\frac{136}{1155} \cdot \frac{3}{2}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $136$ .

$\frac{2 (68)}{1155} \cdot \frac{3}{2}$

Step 5.2

Cancel the common factor.

$\frac{2 \cdot 68}{1155} \cdot \frac{3}{2}$

Step 5.3

Rewrite the expression.

$\frac{68}{1155} \cdot 3$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $1155$ .

$\frac{68}{3 (385)} \cdot 3$

Step 6.2

Cancel the common factor.

$\frac{68}{3 \cdot 385} \cdot 3$

Step 6.3

Rewrite the expression.

$\frac{68}{385}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{68}{385}$

Decimal Form:

$0.1\overline{766233}$