Compare 21/8 and 49/15
1st number: 2 5/8, 2nd number: 3 4/15
21/8 is smaller than 49/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 15 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
21/8 = 21 × 15/8 × 15 = 315/120 - Likewise, for the 2nd fraction, since 15 × 8 = 120,
49/15 = 49 × 8/15 × 8 = 392/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/120 < 392/120 or 21/8 < 49/15
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