Compare 7/4 and 40/27
1st number: 1 3/4, 2nd number: 1 13/27
7/4 is greater than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
7/4 = 7 × 27/4 × 27 = 189/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
40/27 = 40 × 4/27 × 4 = 160/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/108 > 160/108 or 7/4 > 40/27
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