Compare 30/75 and 7/12
30/75 is smaller than 7/12
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,
30/75 = 30 × 4/75 × 4 = 120/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
7/12 = 7 × 25/12 × 25 = 175/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/300 < 175/300 or 30/75 < 7/12
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