Solve for k 641/k=2

$64 \frac{1}{k} = 2$

Step 1

Combine $64$ and $\frac{1}{k}$ .

$\frac{64}{k} = 2$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$k, 1$

The LCM of one and any expression is the expression.

$k$

Step 3

Multiply each term in $\frac{64}{k} = 2$ by $k$ to eliminate the fractions.

Multiply each term in $\frac{64}{k} = 2$ by $k$ .

$\frac{64}{k} k = 2 k$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{64}{k} k = 2 k$

Rewrite the expression.

$64 = 2 k$

Step 4

Solve the equation.

Rewrite the equation as $2 k = 64$ .

$2 k = 64$

Divide each term in $2 k = 64$ by $2$ and simplify.

Divide each term in $2 k = 64$ by $2$ .

$\frac{2 k}{2} = \frac{64}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 k}{2} = \frac{64}{2}$

Divide $k$ by $1$ .

$k = \frac{64}{2}$

Simplify the right side.

Divide $64$ by $2$ .

$k = 32$