Respuesta :
[tex]\frac{11}{24}[/tex]
combine the fractions of each type by adding them
[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{12}[/tex]
Before we can add the fractions we require them to have the same denominator
To achieve this we require the lowest common multiple (LCM ) of 8 and 12
The LCM of 8 and 12 is 24
To change the denominators , multiply the numerator/ denominator by the appropriate value
[tex]\frac{3}{8}[/tex] = [tex]\frac{3(3)}{8(3)}[/tex] = [tex]\frac{9}{24}[/tex]
[tex]\frac{1}{12}[/tex] = [tex]\frac{1(2)}{12(2)}[/tex] = [tex]\frac{2}{24}[/tex]
Add the numerators leaving the denominator as it is
= [tex]\frac{9+2}{24}[/tex] = [tex]\frac{11}{24}[/tex]
