Compare 30/14 and 45/27
1st number: 2 2/14, 2nd number: 1 18/27
30/14 is greater than 45/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
30/14 = 30 × 27/14 × 27 = 810/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
45/27 = 45 × 14/27 × 14 = 630/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/378 > 630/378 or 30/14 > 45/27
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