Solve for u 7/4u=4/11

$\frac{7}{4} u = \frac{4}{11}$

Step 1

Multiply both sides of the equation by $\frac{4}{7}$ .

$\frac{4}{7} (\frac{7}{4} u) = \frac{4}{7} \cdot \frac{4}{11}$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{7} (\frac{7}{4} u)$ .

Combine $\frac{7}{4}$ and $u$ .

$\frac{4}{7} \cdot \frac{7 u}{4} = \frac{4}{7} \cdot \frac{4}{11}$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{7} \cdot \frac{7 u}{4} = \frac{4}{7} \cdot \frac{4}{11}$

Rewrite the expression.

$\frac{1}{7} (7 u) = \frac{4}{7} \cdot \frac{4}{11}$

Cancel the common factor of $7$ .

Factor $7$ out of $7 u$ .

$\frac{1}{7} (7 (u)) = \frac{4}{7} \cdot \frac{4}{11}$

Cancel the common factor.

$\frac{1}{7} (7 u) = \frac{4}{7} \cdot \frac{4}{11}$

Rewrite the expression.

$u = \frac{4}{7} \cdot \frac{4}{11}$

Simplify the right side.

Multiply $\frac{4}{7} \cdot \frac{4}{11}$ .

Multiply $\frac{4}{7}$ by $\frac{4}{11}$ .

$u = \frac{4 \cdot 4}{7 \cdot 11}$

Multiply $4$ by $4$ .

$u = \frac{16}{7 \cdot 11}$

Multiply $7$ by $11$ .

$u = \frac{16}{77}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$u = \frac{16}{77}$

Decimal Form:

$u = 0.\overline{207792}$