Simplify 6/(7(6/(7x)))

$\frac{6}{7 (\frac{6}{7 x})}$

Combine $7$ and $\frac{6}{7 x}$ .

$\frac{6}{\frac{7 \cdot 6}{7 x}}$

Multiply $7$ by $6$ .

$\frac{6}{\frac{42}{7 x}}$

Reduce the expression $\frac{42}{7 x}$ by cancelling the common factors.

Factor $7$ out of $42$ .

$\frac{6}{\frac{7 \cdot 6}{7 x}}$

Factor $7$ out of $7 x$ .

$\frac{6}{\frac{7 \cdot 6}{7 (x)}}$

Cancel the common factor.

$\frac{6}{\frac{7 \cdot 6}{7 x}}$

Rewrite the expression.

$\frac{6}{\frac{6}{x}}$

Multiply the numerator by the reciprocal of the denominator.

$6 \frac{x}{6}$

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{x}{6}$

Rewrite the expression.

$x$