Compare 2/96 and 27/40
2/96 is smaller than 27/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 40 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
2/96 = 2 × 5/96 × 5 = 10/480 - Likewise, for the 2nd fraction, since 40 × 12 = 480,
27/40 = 27 × 12/40 × 12 = 324/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/480 < 324/480 or 2/96 < 27/40
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