Simplify (3/4*2/7)÷(1/2)

$\frac{3}{4} \cdot \frac{2}{7} \div \frac{1}{2}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{2} \cdot \frac{1}{7} \cdot 2$

$\frac{3}{2} \cdot \frac{1}{7} \cdot 2$

Step 3

Multiply $\frac{3}{2}$ by $\frac{1}{7}$ .

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

Step 4

Multiply $2$ by $7$ .

$\frac{3}{14} \cdot 2$

Step 5

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{7}$

$\frac{3}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{7}$

Decimal Form:

$0.\overline{428571}$

Related Questions