Compare 49/24 and 84/16
1st number: 2 1/24, 2nd number: 5 4/16
49/24 is smaller than 84/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 24 × 2 = 48,
49/24 = 49 × 2/24 × 2 = 98/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
84/16 = 84 × 3/16 × 3 = 252/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/48 < 252/48 or 49/24 < 84/16
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