Solve for u 12/7=6u

$\frac{12}{7} = 6 u$

Step 1

Rewrite the equation as $6 u = \frac{12}{7}$ .

$6 u = \frac{12}{7}$

Step 2

Divide each term in $6 u = \frac{12}{7}$ by $6$ and simplify.

Divide each term in $6 u = \frac{12}{7}$ by $6$ .

$\frac{6 u}{6} = \frac{\frac{12}{7}}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 u}{6} = \frac{\frac{12}{7}}{6}$

Divide $u$ by $1$ .

$u = \frac{\frac{12}{7}}{6}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$u = \frac{12}{7} \cdot \frac{1}{6}$

Cancel the common factor of $6$ .

Factor $6$ out of $12$ .

$u = \frac{6 (2)}{7} \cdot \frac{1}{6}$

Cancel the common factor.

$u = \frac{6 \cdot 2}{7} \cdot \frac{1}{6}$

Rewrite the expression.

$u = \frac{2}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$u = \frac{2}{7}$

Decimal Form:

$u = 0.\overline{285714}$