Solve for c 2/5=4/5c

$\frac{2}{5} = \frac{4}{5} c$

Step 1

Rewrite the equation as $\frac{4}{5} c = \frac{2}{5}$ .

$\frac{4}{5} c = \frac{2}{5}$

Step 2

Multiply both sides of the equation by $\frac{5}{4}$ .

$\frac{5}{4} (\frac{4}{5} c) = \frac{5}{4} \cdot \frac{2}{5}$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{4} (\frac{4}{5} c)$ .

Combine $\frac{4}{5}$ and $c$ .

$\frac{5}{4} \cdot \frac{4 c}{5} = \frac{5}{4} \cdot \frac{2}{5}$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{4} \cdot \frac{4 c}{5} = \frac{5}{4} \cdot \frac{2}{5}$

Rewrite the expression.

$\frac{1}{4} (4 c) = \frac{5}{4} \cdot \frac{2}{5}$

Cancel the common factor of $4$ .

Factor $4$ out of $4 c$ .

$\frac{1}{4} (4 (c)) = \frac{5}{4} \cdot \frac{2}{5}$

Cancel the common factor.

$\frac{1}{4} (4 c) = \frac{5}{4} \cdot \frac{2}{5}$

Rewrite the expression.

$c = \frac{5}{4} \cdot \frac{2}{5}$

Simplify the right side.

Simplify $\frac{5}{4} \cdot \frac{2}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$c = \frac{5}{4} \cdot \frac{2}{5}$

Rewrite the expression.

$c = \frac{1}{4} \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$c = \frac{1}{2 (2)} \cdot 2$

Cancel the common factor.

$c = \frac{1}{2 \cdot 2} \cdot 2$

Rewrite the expression.

$c = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$c = \frac{1}{2}$

Decimal Form:

$c = 0.5$