Compare 21/30 and 49/24
1st number: 21/30, 2nd number: 2 1/24
21/30 is smaller than 49/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
21/30 = 21 × 4/30 × 4 = 84/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
49/24 = 49 × 5/24 × 5 = 245/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/120 < 245/120 or 21/30 < 49/24
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