Compare 8/35 and 27/98
8/35 is smaller than 27/98
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,
8/35 = 8 × 14/35 × 14 = 112/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
27/98 = 27 × 5/98 × 5 = 135/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/490 < 135/490 or 8/35 < 27/98
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