Compare 2/30 and 84/28
1st number: 2/30, 2nd number: 3 0/28
2/30 is smaller than 84/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
2/30 = 2 × 14/30 × 14 = 28/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
84/28 = 84 × 15/28 × 15 = 1260/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/420 < 1260/420 or 2/30 < 84/28
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