Compare 21/30 and 21/8
1st number: 21/30, 2nd number: 2 5/8
21/30 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 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 8 × 15 = 120,
21/8 = 21 × 15/8 × 15 = 315/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/120 < 315/120 or 21/30 < 21/8
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