Multiply the numerator and denominator of the complex fraction by .

Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify the numerator.

Multiply by .

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Simplify the denominator.

Multiply by .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Multiply by .

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

Simplify .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Simplify .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for r (15r-2.3)/(3/5+0.4r)=9/2