What is the common denominator of $$ y+\frac{y-3}{3} $$ in the complex fraction $$ \frac{y+\frac{y-3}{3}}{\frac{5}{9}+\frac{2}{3 y}} ? $$

Question

UpStudy AI · Accepted Answer

To find the common denominator of the complex fraction $$ \frac{y+\frac{y-3}{3}}{\frac{5}{9}+\frac{2}{3y}} $$, we need to simplify the expression first.

The common denominator of the complex fraction is the least common multiple (LCM) of the denominators of the fractions in the numerator and the denominator.

Let's simplify the expression step by step:

1. Simplify the numerator:
$$ y + \frac{y-3}{3} = \frac{3y + y - 3}{3} = \frac{4y - 3}{3} $$

2. Simplify the denominator:
$$ \frac{5}{9} + \frac{2}{3y} = \frac{5y + 2}{9y} $$

3. Now, we can rewrite the complex fraction with the simplified numerator and denominator:
$$ \frac{\frac{4y - 3}{3}}{\frac{5y + 2}{9y}} $$

4. To find the common denominator, we need to find the LCM of the denominators in the numerator and the denominator. In this case, the LCM is 9y.

Therefore, the common denominator of the complex fraction is 9y.
The common denominator of the complex fraction is 9y.

What is the common denominator of in the complex fraction

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions