Compare 4/75 and 21/49
4/75 is smaller than 21/49
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,
4/75 = 4 × 49/75 × 49 = 196/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
21/49 = 21 × 75/49 × 75 = 1575/3675 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/3675 < 1575/3675 or 4/75 < 21/49
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