Compare 49/48 and 8/27
1st number: 1 1/48, 2nd number: 8/27
49/48 is greater than 8/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 27 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 48 × 9 = 432,
49/48 = 49 × 9/48 × 9 = 441/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
8/27 = 8 × 16/27 × 16 = 128/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/432 > 128/432 or 49/48 > 8/27
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