Compare 21/98 and 2/3
21/98 is smaller than 2/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 3 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
21/98 = 21 × 3/98 × 3 = 63/294 - Likewise, for the 2nd fraction, since 3 × 98 = 294,
2/3 = 2 × 98/3 × 98 = 196/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/294 < 196/294 or 21/98 < 2/3
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