Compare 3/28 and 12/35
3/28 is smaller than 12/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
3/28 = 3 × 5/28 × 5 = 15/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
12/35 = 12 × 4/35 × 4 = 48/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/140 < 48/140 or 3/28 < 12/35
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