Compare 8/27 and 30/16
1st number: 8/27, 2nd number: 1 14/16
8/27 is smaller than 30/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
8/27 = 8 × 16/27 × 16 = 128/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
30/16 = 30 × 27/16 × 27 = 810/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/432 < 810/432 or 8/27 < 30/16
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