Compare 3/75 and 21/12
1st number: 3/75, 2nd number: 1 9/12
3/75 is smaller than 21/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 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 12 × 25 = 300,
21/12 = 21 × 25/12 × 25 = 525/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/300 < 525/300 or 3/75 < 21/12
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