Compare 30/12 and 70/27
1st number: 2 6/12, 2nd number: 2 16/27
30/12 is smaller than 70/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
30/12 = 30 × 9/12 × 9 = 270/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
70/27 = 70 × 4/27 × 4 = 280/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/108 < 280/108 or 30/12 < 70/27
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