Respuesta :
No dividing the numerator and denominator by the highest common factor of 48 and 64 gives the fraction in simplest form, that is no other factor but 1 divides into the numerator/ denominator
[tex]\frac{48}{64}[/tex] = [tex]\frac{6}{8}[/tex] when numerator/ denominator are divided by 8
However, dividing numerator/ denominator further by 2 will give simplest form
that is [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] in simplest form
dividing numerator/ denominator by 16 , the highest common factor would have given the fraction in simplest form.