Compare 30/84 and 49/16
1st number: 30/84, 2nd number: 3 1/16
30/84 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 84 × 4 = 336,
30/84 = 30 × 4/84 × 4 = 120/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
49/16 = 49 × 21/16 × 21 = 1029/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/336 < 1029/336 or 30/84 < 49/16
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