Compare 12/28 and 45/30
1st number: 12/28, 2nd number: 1 15/30
12/28 is smaller than 45/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 28 × 15 = 420,
12/28 = 12 × 15/28 × 15 = 180/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
45/30 = 45 × 14/30 × 14 = 630/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/420 < 630/420 or 12/28 < 45/30
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