Simplify (3/162/5)/(7/43/2)

$\frac{\frac{3}{16} \cdot \frac{2}{5}}{\frac{7}{4} \cdot \frac{3}{2}}$

Multiply $\frac{3}{16}$ by $\frac{2}{5}$ .

$\frac{\frac{3 \cdot 2}{16 \cdot 5}}{\frac{7}{4} \cdot \frac{3}{2}}$

Multiply $\frac{7}{4}$ by $\frac{3}{2}$ .

$\frac{\frac{3 \cdot 2}{16 \cdot 5}}{\frac{7 \cdot 3}{4 \cdot 2}}$

Reduce the expression by cancelling the common factors.

Multiply $3$ by $2$ .

$\frac{\frac{6}{16 \cdot 5}}{\frac{7 \cdot 3}{4 \cdot 2}}$

Multiply.

Multiply $16$ by $5$ .

$\frac{\frac{6}{80}}{\frac{7 \cdot 3}{4 \cdot 2}}$

Multiply $7$ by $3$ .

$\frac{\frac{6}{80}}{\frac{21}{4 \cdot 2}}$

Multiply $4$ by $2$ .

$\frac{\frac{6}{80}}{\frac{21}{8}}$

Cancel the common factor of $6$ and $80$ .

Factor $2$ out of $6$ .

$\frac{\frac{2 (3)}{80}}{\frac{21}{8}}$

Cancel the common factors.

Factor $2$ out of $80$ .

$\frac{\frac{2 \cdot 3}{2 \cdot 40}}{\frac{21}{8}}$

Cancel the common factor.

$\frac{\frac{2 \cdot 3}{2 \cdot 40}}{\frac{21}{8}}$

Rewrite the expression.

$\frac{\frac{3}{40}}{\frac{21}{8}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{40} \cdot \frac{8}{21}$

Cancel the common factor of $3$ .

Factor $3$ out of $21$ .

$\frac{3}{40} \cdot \frac{8}{3 (7)}$

Cancel the common factor.

$\frac{3}{40} \cdot \frac{8}{3 \cdot 7}$

Rewrite the expression.

$\frac{1}{40} \cdot \frac{8}{7}$

Cancel the common factor of $8$ .

Factor $8$ out of $40$ .

$\frac{1}{8 (5)} \cdot \frac{8}{7}$

Cancel the common factor.

$\frac{1}{8 \cdot 5} \cdot \frac{8}{7}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{1}{7}$

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

$\frac{1}{5 \cdot 7}$

Multiply $5$ by $7$ .

$\frac{1}{35}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{35}$

Decimal Form:

$0.0\overline{285714}$

Simplify (3/16*2/5)/(7/4*3/2)

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Simplify (3/162/5)/(7/43/2)