Compare 21/2 and 49/30
1st number: 10 1/2, 2nd number: 1 19/30
21/2 is greater than 49/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 2 × 15 = 30,
21/2 = 21 × 15/2 × 15 = 315/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
49/30 = 49 × 1/30 × 1 = 49/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/30 > 49/30 or 21/2 > 49/30
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