Simplify ((3/5)(2/5))÷(4/7)

$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{3}{5}) (\frac{2}{5}) \frac{7}{4}$

Step 2

Multiply $(\frac{3}{5}) (\frac{2}{5})$ .

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

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

Multiply $3$ by $2$ .

$\frac{6}{5 \cdot 5} \cdot \frac{7}{4}$

Multiply $5$ by $5$ .

$\frac{6}{25} \cdot \frac{7}{4}$

$\frac{6}{25} \cdot \frac{7}{4}$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{2 (3)}{25} \cdot \frac{7}{4}$

Factor $2$ out of $4$ .

$\frac{2 \cdot 3}{25} \cdot \frac{7}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot 3}{25} \cdot \frac{7}{2 \cdot 2}$

Rewrite the expression.

$\frac{3}{25} \cdot \frac{7}{2}$

$\frac{3}{25} \cdot \frac{7}{2}$

Step 4

Multiply $\frac{3}{25}$ by $\frac{7}{2}$ .

$\frac{3 \cdot 7}{25 \cdot 2}$

Step 5

Multiply.

Multiply $3$ by $7$ .

$\frac{21}{25 \cdot 2}$

Multiply $25$ by $2$ .

$\frac{21}{50}$

$\frac{21}{50}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{50}$

Decimal Form:

$0.42$

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