If the fraction is a/b, then if a>b the fraction is bigger than 1; if a<b then it's smaller than 1. If a and b are themselves fractions then the same rule applies. To find out which fraction is bigger find their common denominator so that you subtract one from the other.
Example: Let a=p/q and b=r/s. a-b=(ps-qr)/qs. Because qs is always positive just work out ps-qr. If this is positive, a>b, if negative then a<b. Let a=2/3 and b=3/5. Then ps-qr=10-9=1 positive. So a>b and the quotient will be bigger than 1. You can also convert the fractions to decimal or percents to see which is bigger: 2/3=0.67 (67%) approx and 3/5=0.60 (60%) making 0.67 bigger than 0.60, or 2/3>3/5.