Respuesta :
1/12 does not belong with the others because you can simplify the others, but not 1/12
Answer:
Step-by-step explanation:
A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex] .
HCF(a,b) refers to highest common factor of a and b .
For [tex]\frac{2}{12}[/tex] :
Factors of 2 are 1 and 2
Factors of 12 are 1,2,3,4,6,12
HCF(2,12)=2≠1
So, [tex]\frac{2}{12}[/tex] is not in simplest form.
For [tex]\frac{3}{12}[/tex]:
Factors of 3 are 1, 3
Factors of 12 are 1,2,3,4,6,12
HCF(3,12)=3≠1
So, [tex]\frac{3}{12}[/tex] is not in simplest form.
For [tex]\frac{4}{12}[/tex]
Factors of 4 are 1,2,4
Factors of 12 are 1,2,3,4,6,12
HCF(4,12)=4≠1
So, [tex]\frac{4}{12}[/tex] is not in simplest form.
For [tex]\frac{1}{12}[/tex] ,
Factor of 1 is 1
Factors of 12 are 1,2,3,4,6,12
HCF(1,12)=1
So, [tex]\frac{1}{12}[/tex] is in simplest form.
Therefore, among given fractions [tex]\frac{1}{12}[/tex] is in simplest form, hence, does not belong with the other three .
