Compare 8/27 and 30/40
8/27 is smaller than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
8/27 = 8 × 40/27 × 40 = 320/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
30/40 = 30 × 27/40 × 27 = 810/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/1080 < 810/1080 or 8/27 < 30/40
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