Compare 3/18 and 30/28
1st number: 3/18, 2nd number: 1 2/28
3/18 is smaller than 30/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 18 × 14 = 252,
3/18 = 3 × 14/18 × 14 = 42/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
30/28 = 30 × 9/28 × 9 = 270/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/252 < 270/252 or 3/18 < 30/28
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