Compare 6/21 and 54/98
6/21 is smaller than 54/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 21 × 14 = 294,
6/21 = 6 × 14/21 × 14 = 84/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
54/98 = 54 × 3/98 × 3 = 162/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/294 < 162/294 or 6/21 < 54/98
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