Compare 21/30 and 49/12
1st number: 21/30, 2nd number: 4 1/12
21/30 is smaller than 49/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 12 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
21/30 = 21 × 2/30 × 2 = 42/60 - Likewise, for the 2nd fraction, since 12 × 5 = 60,
49/12 = 49 × 5/12 × 5 = 245/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/60 < 245/60 or 21/30 < 49/12
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