Compare 30/75 and 16/49
30/75 is greater than 16/49
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,
30/75 = 30 × 49/75 × 49 = 1470/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
16/49 = 16 × 75/49 × 75 = 1200/3675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/3675 > 1200/3675 or 30/75 > 16/49
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