Compare 30/4 and 21/27
1st number: 7 2/4, 2nd number: 21/27
30/4 is greater than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
30/4 = 30 × 27/4 × 27 = 810/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
21/27 = 21 × 4/27 × 4 = 84/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/108 > 84/108 or 30/4 > 21/27
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