Compare 21/4 and 49/75, Which fraction is greater?

Compare 21/4 and 49/75

1^st number: 5 1/4, 2^nd number: 49/75

21/4 is greater than 49/75

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 4 × 75 = 300,
21/4 = 21 × 75/4 × 75 = 1575/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
49/75 = 49 × 4/75 × 4 = 196/300
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1575/300 > 196/300 or 21/4 > 49/75

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