Compare 16/6 and 40/27
1st number: 2 4/6, 2nd number: 1 13/27
16/6 is greater than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 6 × 9 = 54,
16/6 = 16 × 9/6 × 9 = 144/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
40/27 = 40 × 2/27 × 2 = 80/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/54 > 80/54 or 16/6 > 40/27
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