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