Compare 2/20 and 45/98
2/20 is smaller than 45/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 98 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 20 × 49 = 980,
2/20 = 2 × 49/20 × 49 = 98/980 - Likewise, for the 2nd fraction, since 98 × 10 = 980,
45/98 = 45 × 10/98 × 10 = 450/980 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/980 < 450/980 or 2/20 < 45/98
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