Compare 40/27 and 16/9
1st number: 1 13/27, 2nd number: 1 7/9
40/27 is smaller than 16/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 9 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 27 × 1 = 27,
40/27 = 40 × 1/27 × 1 = 40/27 - Likewise, for the 2nd fraction, since 9 × 3 = 27,
16/9 = 16 × 3/9 × 3 = 48/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/27 < 48/27 or 40/27 < 16/9
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