Solve for y 5.4/(2y)=9

$\frac{5.4}{2 y} = 9$

Step 1

Factor each term.

Factor $5.4$ out of $5.4$ .

$\frac{5.4 (1)}{2 y} = 9$

Factor $2$ out of $2 y$ .

$\frac{5.4 (1)}{2 (y)} = 9$

Separate fractions.

$\frac{5.4}{2} \cdot \frac{1}{y} = 9$

Divide $5.4$ by $2$ .

$2.7 \frac{1}{y} = 9$

Combine $2.7$ and $\frac{1}{y}$ .

$\frac{2.7}{y} = 9$

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.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Step 3

Multiply each term in $\frac{2.7}{y} = 9$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{2.7}{y} = 9$ by $y$ .

$\frac{2.7}{y} y = 9 y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{2.7}{y} y = 9 y$

Rewrite the expression.

$2.7 = 9 y$

Step 4

Solve the equation.

Rewrite the equation as $9 y = 2.7$ .

$9 y = 2.7$

Divide each term in $9 y = 2.7$ by $9$ and simplify.

Divide each term in $9 y = 2.7$ by $9$ .

$\frac{9 y}{9} = \frac{2.7}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{2.7}{9}$

Divide $y$ by $1$ .

$y = \frac{2.7}{9}$

Simplify the right side.

Divide $2.7$ by $9$ .

$y = 0.3$