Compare 40/9 and 20/28
1st number: 4 4/9, 2nd number: 20/28
40/9 is greater than 20/28
Steps for comparing fractions
- 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,
40/9 = 40 × 28/9 × 28 = 1120/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
20/28 = 20 × 9/28 × 9 = 180/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/252 > 180/252 or 40/9 > 20/28
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