Compare 2/27 and 21/98
2/27 is smaller than 21/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 27 × 98 = 2646,
2/27 = 2 × 98/27 × 98 = 196/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
21/98 = 21 × 27/98 × 27 = 567/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/2646 < 567/2646 or 2/27 < 21/98
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