Compare 28/9 and 40/49
1st number: 3 1/9, 2nd number: 40/49
28/9 is greater than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
28/9 = 28 × 49/9 × 49 = 1372/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
40/49 = 40 × 9/49 × 9 = 360/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1372/441 > 360/441 or 28/9 > 40/49
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