Compare 7/40 and 84/27
1st number: 7/40, 2nd number: 3 3/27
7/40 is smaller than 84/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
7/40 = 7 × 27/40 × 27 = 189/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
84/27 = 84 × 40/27 × 40 = 3360/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/1080 < 3360/1080 or 7/40 < 84/27
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