Compare 3/75 and 12/20
3/75 is smaller than 12/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 20 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
3/75 = 3 × 4/75 × 4 = 12/300 - Likewise, for the 2nd fraction, since 20 × 15 = 300,
12/20 = 12 × 15/20 × 15 = 180/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/300 < 180/300 or 3/75 < 12/20
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