Compare 8/14 and 49/24
1st number: 8/14, 2nd number: 2 1/24
8/14 is smaller than 49/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 14 × 12 = 168,
8/14 = 8 × 12/14 × 12 = 96/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
49/24 = 49 × 7/24 × 7 = 343/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/168 < 343/168 or 8/14 < 49/24
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