Solve for y 48/y=6/(1/8)

$\frac{48}{y} = \frac{6}{\frac{1}{8}}$

Factor each term.

Multiply the numerator by the reciprocal of the denominator.

$\frac{48}{y} = 6 \cdot 8$

Multiply $6$ by $8$ .

$\frac{48}{y} = 48$

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.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Multiply each term in $\frac{48}{y} = 48$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{48}{y} = 48$ by $y$ .

$\frac{48}{y} y = 48 y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{48}{y} y = 48 y$

Rewrite the expression.

$48 = 48 y$

Solve the equation.

Rewrite the equation as $48 y = 48$ .

$48 y = 48$

Divide each term in $48 y = 48$ by $48$ and simplify.

Divide each term in $48 y = 48$ by $48$ .

$\frac{48 y}{48} = \frac{48}{48}$

Simplify the left side.

Cancel the common factor of $48$ .

Cancel the common factor.

$\frac{48 y}{48} = \frac{48}{48}$

Divide $y$ by $1$ .

$y = \frac{48}{48}$

Simplify the right side.

Divide $48$ by $48$ .

$y = 1$