Compare 21/98 and 20/35
21/98 is smaller than 20/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 35 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
21/98 = 21 × 5/98 × 5 = 105/490 - Likewise, for the 2nd fraction, since 35 × 14 = 490,
20/35 = 20 × 14/35 × 14 = 280/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/490 < 280/490 or 21/98 < 20/35
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