Compare 10/27 and 30/80
10/27 is smaller than 30/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 80 is 2160
Next, find the equivalent fraction of both fractional numbers with denominator 2160 - For the 1st fraction, since 27 × 80 = 2160,
10/27 = 10 × 80/27 × 80 = 800/2160 - Likewise, for the 2nd fraction, since 80 × 27 = 2160,
30/80 = 30 × 27/80 × 27 = 810/2160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/2160 < 810/2160 or 10/27 < 30/80
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