Compare 6/75 and 21/16
1st number: 6/75, 2nd number: 1 5/16
6/75 is smaller than 21/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
6/75 = 6 × 16/75 × 16 = 96/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
21/16 = 21 × 75/16 × 75 = 1575/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/1200 < 1575/1200 or 6/75 < 21/16
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