Compare 45/75 and 20/9, Which fraction is greater?

Compare 45/75 and 20/9

1^st number: 45/75, 2^nd number: 2 2/9

45/75 is smaller than 20/9

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225

Next, find the equivalent fraction of both fractional numbers with denominator 225
For the 1st fraction, since 75 × 3 = 225,
45/75 = 45 × 3/75 × 3 = 135/225
Likewise, for the 2nd fraction, since 9 × 25 = 225,
20/9 = 20 × 25/9 × 25 = 500/225
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
135/225 < 500/225 or 45/75 < 20/9

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