Compare 30/28 and 40/9
1st number: 1 2/28, 2nd number: 4 4/9
30/28 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
30/28 = 30 × 9/28 × 9 = 270/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/252 < 1120/252 or 30/28 < 40/9
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