Simplify 93/(21n)*(34n)/(51n)

$\frac{93}{21 n} \cdot \frac{34 n}{51 n}$

Step 1

Cancel the common factor of $3$ .

Factor $3$ out of $93$ .

$\frac{3 (31)}{21 n} \cdot \frac{34 n}{51 n}$

Factor $3$ out of $51 n$ .

$\frac{3 (31)}{21 n} \cdot \frac{34 n}{3 (17 n)}$

Cancel the common factor.

$\frac{3 \cdot 31}{21 n} \cdot \frac{34 n}{3 (17 n)}$

Rewrite the expression.

$\frac{31}{21 n} \cdot \frac{34 n}{17 n}$

Step 2

Cancel the common factor of $n$ .

Factor $n$ out of $21 n$ .

$\frac{31}{n \cdot 21} \cdot \frac{34 n}{17 n}$

Factor $n$ out of $34 n$ .

$\frac{31}{n \cdot 21} \cdot \frac{n \cdot 34}{17 n}$

Cancel the common factor.

$\frac{31}{n \cdot 21} \cdot \frac{n \cdot 34}{17 n}$

Rewrite the expression.

$\frac{31}{21} \cdot \frac{34}{17 n}$

Step 3

Multiply $\frac{31}{21}$ by $\frac{34}{17 n}$ .

$\frac{31 \cdot 34}{21 (17 n)}$

Step 4

Multiply.

Multiply $31$ by $34$ .

$\frac{1054}{21 (17 n)}$

Multiply $17$ by $21$ .

$\frac{1054}{357 n}$

Step 5

Cancel the common factor of $1054$ and $357$ .

Factor $17$ out of $1054$ .

$\frac{17 (62)}{357 n}$

Cancel the common factors.

Factor $17$ out of $357 n$ .

$\frac{17 (62)}{17 (21 n)}$

Cancel the common factor.

$\frac{17 \cdot 62}{17 (21 n)}$

Rewrite the expression.

$\frac{62}{21 n}$