Compare 3/30 and 12/75
3/30 is smaller than 12/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 30 × 5 = 150,
3/30 = 3 × 5/30 × 5 = 15/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
12/75 = 12 × 2/75 × 2 = 24/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/150 < 24/150 or 3/30 < 12/75
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