Compare 8/25 and 27/30
8/25 is smaller than 27/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 25 × 6 = 150,
8/25 = 8 × 6/25 × 6 = 48/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
27/30 = 27 × 5/30 × 5 = 135/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/150 < 135/150 or 8/25 < 27/30
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