Compare 3/49 and 20/9
1st number: 3/49, 2nd number: 2 2/9
3/49 is smaller than 20/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
3/49 = 3 × 9/49 × 9 = 27/441 - Likewise, for the 2nd fraction, since 9 × 49 = 441,
20/9 = 20 × 49/9 × 49 = 980/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/441 < 980/441 or 3/49 < 20/9
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