Compare 8/9 and 40/28
1st number: 8/9, 2nd number: 1 12/28
8/9 is smaller than 40/28
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,
8/9 = 8 × 28/9 × 28 = 224/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
40/28 = 40 × 9/28 × 9 = 360/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/252 < 360/252 or 8/9 < 40/28
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