Evaluate (15/17)÷(3/2)

$\frac{15}{17} \div \frac{3}{2}$

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{17} \cdot \frac{2}{3}$

Cancel the common factor of $3$ .

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Factor $3$ out of $15$ .

$\frac{3 (5)}{17} \cdot \frac{2}{3}$

Cancel the common factor.

$\frac{3 \cdot 5}{17} \cdot \frac{2}{3}$

Rewrite the expression.

$\frac{5}{17} \cdot 2$

Combine $\frac{5}{17}$ and $2$ .

$\frac{5 \cdot 2}{17}$

Multiply $5$ by $2$ .

$\frac{10}{17}$

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{17}$

Decimal Form:

$0.58823529 \dots$

Evaluate (15/17)÷(3/2)