Compare 4/40 and 12/27
4/40 is smaller than 12/27
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,
4/40 = 4 × 27/40 × 27 = 108/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
12/27 = 12 × 40/27 × 40 = 480/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/1080 < 480/1080 or 4/40 < 12/27
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