Compare 6/36 and 21/98
6/36 is smaller than 21/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 98 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
6/36 = 6 × 49/36 × 49 = 294/1764 - Likewise, for the 2nd fraction, since 98 × 18 = 1764,
21/98 = 21 × 18/98 × 18 = 378/1764 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/1764 < 378/1764 or 6/36 < 21/98
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