Solutions by everydaycalculation.com

1^{st} number: 4 4/9, 2^{nd} number: 4/28

409 is greater than 428

- Find the least common denominator or LCM of the two denominators:

LCM of 9 and 28 is**252**

Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,

409 = 40 × 289 × 28 = 1120252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,

428 = 4 × 928 × 9 = 36252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120252 > 36252 or 409 > 428

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