Respuesta :
Answer: The reduced form of the given fraction is
[tex]\dfrac{r-s}{r+s}.[/tex]
Step-by-step explanation: We are given to reduce the following fraction to lowest terms:
[tex]F=\dfrac{5r-5s}{5r+5s}~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To reduce a fraction to its lowest terms, we need to find the common factors in both the numerator and denominator and they should be cancelled.
From equation (i), we get
[tex]F\\\\\\=\dfrac{5r-5s}{5r+5s}\\\\\\=\dfrac{5(r-s)}{5(r+s)}\\\\\\=\dfrac{r-s}{r+s}.[/tex]
Thus, the reduced form of the given fraction is
[tex]\dfrac{r-s}{r+s}.[/tex]
