Compare 2/35 and 36/98
2/35 is smaller than 36/98
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,
2/35 = 2 × 14/35 × 14 = 28/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
36/98 = 36 × 5/98 × 5 = 180/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/490 < 180/490 or 2/35 < 36/98
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