Compare 2/12 and 30/75
2/12 is smaller than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
2/12 = 2 × 25/12 × 25 = 50/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/300 < 120/300 or 2/12 < 30/75
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