Compare 27/42 and 81/98
27/42 is smaller than 81/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
27/42 = 27 × 7/42 × 7 = 189/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
81/98 = 81 × 3/98 × 3 = 243/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/294 < 243/294 or 27/42 < 81/98
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