Compare 21/40 and 49/3
1st number: 21/40, 2nd number: 16 1/3
21/40 is smaller than 49/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 3 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
21/40 = 21 × 3/40 × 3 = 63/120 - Likewise, for the 2nd fraction, since 3 × 40 = 120,
49/3 = 49 × 40/3 × 40 = 1960/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/120 < 1960/120 or 21/40 < 49/3
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