Evaluate (17/15*2/11)÷(7/4)*3/2

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

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

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

Multiply.

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Multiply $17$ by $2$ .

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

Multiply $15$ by $11$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

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

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

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

Multiply $34$ by $4$ .

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

Multiply $165$ by $7$ .

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

Cancel the common factor of $2$ .

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Factor $2$ out of $136$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ .

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Factor $3$ out of $1155$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{68}{385}$

The result can be shown in multiple forms.

Exact Form:

$\frac{68}{385}$

Decimal Form:

$0.1\overline{766233}$

Evaluate (17/15*2/11)÷(7/4)*3/2

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