Compare 30/49 and 10/9
1st number: 30/49, 2nd number: 1 1/9
30/49 is smaller than 10/9
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,
30/49 = 30 × 9/49 × 9 = 270/441 - Likewise, for the 2nd fraction, since 9 × 49 = 441,
10/9 = 10 × 49/9 × 49 = 490/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/441 < 490/441 or 30/49 < 10/9
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