Compare 27/24 and 49/9
1st number: 1 3/24, 2nd number: 5 4/9
27/24 is smaller than 49/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
27/24 = 27 × 3/24 × 3 = 81/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
49/9 = 49 × 8/9 × 8 = 392/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/72 < 392/72 or 27/24 < 49/9
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