Compare 8/27 and 25/80
8/27 is smaller than 25/80
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,
8/27 = 8 × 80/27 × 80 = 640/2160 - Likewise, for the 2nd fraction, since 80 × 27 = 2160,
25/80 = 25 × 27/80 × 27 = 675/2160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/2160 < 675/2160 or 8/27 < 25/80
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