Compare 12/75 and 21/30
12/75 is smaller than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
12/75 = 12 × 2/75 × 2 = 24/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
21/30 = 21 × 5/30 × 5 = 105/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/150 < 105/150 or 12/75 < 21/30
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