Compare the fractions

1/8

and

2/12

Given Fractions:   and
Since the denominators are not common (not the same), we need to find the Least Common Denominator (LCD), which is equivalent to the Least Common Multiple of 8 and 12:
LCD = LCM(8, 12) = 24
Express the given fractions as equivalent fractions with respect to the LCD (24):
=   and   = Since the equivalent fractions have common denominators, we can compare the numerators:
3 is less than 4  (3 < 4)
As a result,    is less than Therefore,  

1/8

  is less than

2/12

,  

1/8

<

2/12