Evaluate 14/51*3/4

$\frac{14}{51} \cdot \frac{3}{4}$

Step 1

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

$\frac{2 (7)}{51} \cdot \frac{3}{4}$

Factor $2$ out of $4$ .

$\frac{2 \cdot 7}{51} \cdot \frac{3}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot 7}{51} \cdot \frac{3}{2 \cdot 2}$

Rewrite the expression.

$\frac{7}{51} \cdot \frac{3}{2}$

$\frac{7}{51} \cdot \frac{3}{2}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $51$ .

$\frac{7}{3 (17)} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{7}{3 \cdot 17} \cdot \frac{3}{2}$

Rewrite the expression.

$\frac{7}{17} \cdot \frac{1}{2}$

$\frac{7}{17} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{7}{17}$ by $\frac{1}{2}$ .

$\frac{7}{17 \cdot 2}$

Step 4

Multiply $17$ by $2$ .

$\frac{7}{34}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{34}$

Decimal Form:

$0.20588235 \dots$

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