Compare 7/75 and 30/49
7/75 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
7/75 = 7 × 49/75 × 49 = 343/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
30/49 = 30 × 75/49 × 75 = 2250/3675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/3675 < 2250/3675 or 7/75 < 30/49
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