Compare 3/40 and 12/28
3/40 is smaller than 12/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
3/40 = 3 × 7/40 × 7 = 21/280 - Likewise, for the 2nd fraction, since 28 × 10 = 280,
12/28 = 12 × 10/28 × 10 = 120/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/280 < 120/280 or 3/40 < 12/28
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