Compare 2/98 and 10/20
2/98 is smaller than 10/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 20 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 98 × 10 = 980,
2/98 = 2 × 10/98 × 10 = 20/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
10/20 = 10 × 49/20 × 49 = 490/980 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/980 < 490/980 or 2/98 < 10/20
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