Compare 12/35 and 81/98
12/35 is smaller than 81/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 35 × 14 = 490,
12/35 = 12 × 14/35 × 14 = 168/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
81/98 = 81 × 5/98 × 5 = 405/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/490 < 405/490 or 12/35 < 81/98
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