Respuesta :
Question:
What is the common denominator of [tex]$y+\frac{y-3}{3}$[/tex] in the complex fraction [tex]$\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$[/tex]
A) [tex]$3 y(y-3)$[/tex]
B) [tex]$y(y-3)$[/tex]
C) [tex]3y[/tex]
D) [tex]3[/tex]
Answer:
Option D : 3 is the common denominator
Explanation:
It is given that the complex fraction [tex]$\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$[/tex]
We need to determine the common denominator of [tex]$y+\frac{y-3}{3}$[/tex] from the complex fraction.
Let us consider the fraction [tex]$y+\frac{y-3}{3}$[/tex]
To find the common denominator, let us take LCM.
Thus, rewriting the above fraction as,
[tex]\frac{y}{1} +\frac{y-3}{3}$[/tex]
The LCM can be determined by multiplying the denominators.
Thus, we get,
[tex]1\times3=3[/tex]
Thus, the common denominator is 3.
Hence, Option D is the correct answer.
