We want to compare the following 2 fractions:

1
2
and
  
5
9

Denominator 1 ≠ Denominator 2.We need matching denominators

Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator

We have common denominators

Modified Fraction 1  =  1 x 9
  2 x 9

Modified Fraction 1  =  9
  18

Modified Fraction 2  =  5 x 2
  2 x 9

Modified Fraction 2  =  10
  18

Compare numerators to see which is larger


Final Answer


Since 10 > 9, Fraction 2 is larger